^
LIBRARY
OF THE
University of California.
Class
r
QUADRATIC PARTITIONS.
BY
Lt.-Col. ALLAN CUNNINGHAM, R.E.,
FELLOW OF KINOES COLLEGE, LONDON ;
MEMBER OF THE LONDON MATHEMATICAL SOCIETY, &C.
LONDON :
FRANCIS HODGSON, 89 Farringdon Street, E.C.
1904.
CONTENTS.
PAGES
Table of Primes (p), and Factors of (p— 1), up to p ~J$> 100,000 ... 1—240
„ p = (a 2 + b 2 ), (c 2 + 2d 2 ), (A 2 +3B 2 ), i(L 2 +27M2), up to
i?> 100,000 1—240
„ p = e 2 -2f2, up to ^25,000 1—69
„ i? = (x 2 -5y 2 ), i(X 2 -5Y 2 ), (t 2 + 7u 2 ), i^+llw 2 ), up
to j»> 10,000 1—31
,, i> = A /2 -3B /2 , up to i?>10,000 241,242
„ p=x' 2 + 5y /2 , upto p> 10,000 243,244
„ p = G* + 6H?, up to /?> 10,000 245,246
„ i? = G ,2 -6H' 2 , up to p > 10,000 247,248
„ j3 = t' 2 -7u /2 , up to j?> 10,000 249,250
„ i? = | 2 + io^ up to p > 10,000 251,252
„ p = ^-iOt,' 2 , up to p^> 10,000 253,254
„ ^^v^-llw' 2 , up to i?>10,000 255,256
„ p or 2p = t 2 ±Du 2 , D = 13, 14, up to p> 1000 257
,, p or 9p - t 2 ±Du 2 , D = 15, 17, up to j»> 1000 258
„ p or ip = t 2 ±Du 2 , D = 19, uptoj3>1000 259
Least Solutions (t, v) of t 2 -D.u 2 = ±1 [D ^ S 2 ], up to D > 100 ... 260
Multiple Solutions (t, u) of t 2 — D.u 2 = Tl, up to D>20 261
Least (oddj Solutions (t, v) of t 2 -D.u 2 = ±2, up to D j> 500 ... 262
Least (odd) Solutions (t, v) of t 2 -D.u- = ^4, up to D> 1000,
and Values of D, [ > 1 500] , giving no solutions 263
Least (odd) Solutions (t, v) of t-'-Du 2 -= ±8 and ±16, up to D>500,
and Values of D, [ > 1500], giving no solutions of t 2 -Du 2 = ± 16 264
APPENDIX.
CORRIGENDA IN WORKS CONSULTED
CORRIGENDA IN PRESENT WORK
265, 266
On back of Table of Contents.
217227
CORRIGENDA.
i. Corrections in (p—1) column, pages 1-240, [Argument;/] :
Argt. : p = 28621 ; 92189 ; 92569 ; 95569.
Corrn. : p-\ = 4-27-5-53 5 4-19-1213; 8.3.7.19.29; 16.3.11.181.
ii. Corrections in 2-ic parts, pages 1-240, [Argument p~] :
Argt. : p = 311
Corrn. : x = 34
9679 ; 62563 ; 92569.
x, y = 218, 87 ; L = 320 ; c, d = 119, 198.
Minor Corrigenda.
i. Insert dashes ( — ) missing in column named :
Page 31, p = 10007, Col. of t, u ; Page 216, p = 88853, Col. of A, B.
ii. Insert commas ( , ) missing in column named :
Page: 4 ; 7 ; 9 ; 22 ; 23 ; 63 ; 84 ) 120.
p - 881 ; 1549 ; 2243 ; 6581 ; 7027 ; 22157 ; 31177 ; 46411.
Col. of v, w ; t, u ; c, d ; t, u ; v, w ; a, b ; A, B ; c, d.
iii. Change commas (,) to dots (.) in column of (p — 1), [Argument p"]:
Page 34, p - 10903 ; Page 46, p = 15527.
iv. Insert dots (.) missing in column of {p — i), pages 1-240. as below
[this is merely imperfect inking"] :
Argument p.
463
5333
11173
15629
26681
48221
59H9
78241
88867
941
6029
11321
15727
26713
48661
633 1 1
78721
96517
1021
6673
"353
16103
28151
48679
63337
80077
97127
1723
6857
1 344i
16493
29137
48767
63367
83641
2207
7177
13963
22153
33i9i
491 17
66161
84163
3i87
7723
14011
22717
37039
556o3
66683
84827
3257
901 1
14083
24001
42061
56179
69239
85889
35ii
9433
14407
25453
43283
56453
70061
86851
3631
10391
1 5401
25819
45779
56767
71947
88237
3967
10459
155"
25951
46301
57731
72661
88741
N.B.— The Author would gladly receive a Note of any further Errata. They may be
sent to care of the Publisher.
p^Jc,
y<?7
INTRODUCTION.
1. Scope of Tables. — These Tables contain the most important
quadratic partitions (t 2 ±D.u 2 ), whenever possible, of all
primes (p) up to various limits ^> 100,000 detailed below, for
all values of D < 20 and j=. k 2 . 8 ; and also (at the end) solutions
of the Pellian equations t 2 — DV = ±1, ±2, ±4, ±8, ±16.
la. Main Table (pages 1-240) . — This contains columns headed
P 5 P— 1 5 a,b ; c,d ; e,f ; A,B ; L,M ; x,y ; X,Y ; t,u ; v,w.
The first (p) column contains a complete list of all the primes (p)
< 100,000 ; the second (p — 1) column contains the factorisation
of (p— 1) into its prime factors ; the remaining nine columns
contain the quadratic parts of the following quadratic partitions
of each prime (p) — when capable thereof — as below, up to the
limits (of p) stated: —
2-ic Parts : a, b
Partition : p — a 2 + b-
Limit : p > 100,000
2-ic Parts :
Partition : p
7
•5y 2
c, d
c 2 +2d 2
100,000
X, Y
e, f
e 2 -2f 2
25,000
A, B ;
A 2 + 3B 2 ;
100,000 ;
t, u
£(X 2 -5Y 2 ); t 2 + 7u 2 ; i(v 2 + w 2 )j p> 10,000
L, M
100,000
Limit
lb. Short Tables (pages 241-256). — These contain the quad-
ratic parts of the following partitions of all primes (p) — when
capable thereof — under 10,000 ; each kind in a separate table :—
2-ic Parts :
A', B'
*', y
G, H
G', H'
Partition :
p - A' 2 -3B' 2
x +5y
G 2 + 6H 3
G /2 -6H' 2
Pages :
241, 242
243, 244
245, 246
247, 248
2-ic Parts :
t', u'
I, V
t, n'
v', w'.
Partition :
p = t' 2 -7u' 2
| 2 +10rj 2
|' 2 -10rj' 2
v ,2 -llw ,s
Pages :
249, 250
251, 252
253, 254
255, 256.
INTRODUCTION.
lc. Short Tables (pages 257-259). — These contain the quad-
ratic parts (t, u) of the following partitions of all primes (p) —
when capable thereof — under 1000; each kind in a separate
table : —
p = t 2 + 13u 2 ; p or 2p = t 2 + 14u 2 ;
p = t 2 +15u 2 ;
^ = t2-13u 2 ; p = t 2 -14u 2 ;
p = t 2 -15u 2 ;
257 ; 257 ;
258 ;
p or 9p — t 2 + 17u 2 ; p or 4p
= t 2 +19u 2 .
p =t ,2 -17u' 3 ; p
= t' 2 -19u' a .
Page : 258 ;
259.
Id. Pellian Tables (pages 260-264). — These contain solutions
of some of the fundamental Pellian equations.
Page 260 ; t 2 — D. v 2 = ± 1 ; Least solutions (t, v) up to D i> 100.
,, 261 ; t 2 — D.u 2 = Tl ; Multiple solutions (t, u), for all values of
D > 20 and ^ 5 s , up to t, v of 6 or 7 figures.
„ 262 ; t 2 -D.u 2 = ±2 ; Least (odd) solutions (t, u) up to D>500.
„ 263 ; t 2 -D.u 2 = =F4 ; Least (odd) solutions (t, v) up to D> 1000 ;
Values of D ^ 1500 giving no (odd) solutions (t, v).
,, 264 ; t 2 -D.u 2 = ±8 and ±16 ; Least (odd) solutions (t, v) up to
D > 500 ; Values of D > 1500 giving no (odd) solutions (t, v).
le. Corrigenda (pages 265-266) in the various works con-
sulted.
2a. Arrangement of Primes. — The odd primes are printed forty
on each page (pages 1-240), or forty in each ^-column (pages
241-258) ; except that the last j>colunin of each Table contains
only so many as required to reach the limits stated (100,000,
25,000, 10,000, or 1000, respectively). This arrangement
facilitates the counting the number of (odd) primes within a
given interval, and decreases the risk of omission.
INTRODUCTION. Ill
2b. Factors of (p—1). — The (jp— I) -column (pages 1-240)
contains the prime factors of (p — 1) arranged in order of
magnitude (of the primes) ; but the (easily recognisable)
powers of the small factors 2, 3, 5, 7, 11 are printed thus (to
save space) :
2, 4, 8, 16, 32, &c. ; 3, 9, 27, 81, 729, &c. ; 5, 25, 125, 625 ;
7, 49, 343; 11, 121.
The (less easily recognisable) powers of other primes (> 11)
are printed by repeating the primes, thus: — 13.13, 17.17, &c. ;
so that no exponents are printed.
3. Quadratic Forms. — Here follows a short sketch of the
properties of Quadratic Forms (t 8 ±D.u 2 ) so far as needed to
make ihese Tables readily useful.
4. Signs of the 2-ic parts. — The quadratic parts (t, u) of any
partition (t 2 ± D.u 2 ), being determined only from their squares,
(t 2 , u 2 ) may be of either (±) sign. In many cases this does
not affect the result; but, in all cases involving (t±u),
(t m =fcu M ), [m, n odd], some rule is required as to the (±) sign
of each " part." One such rule is : —
Even numbers are considered + . Odd numbers of form (4i + 1) are
reckoned + , of form (4* — 1) are reckoned — .
5. Monomorphs. — If a number (N) be expressible in only one
way in the form (t 2 + Du 2 ), or only in equivalent (i.e. auto-
morphic*) ways in the form (t 2 ~Du 2 ), then N is said to be
Monomorph (in that form). If expressible in more than one
way (automorphs being reckoned as equivalent) in any one
2-ic form, it is styled Polymorph; such a number must be
composite.
* For explanation of this term, see Art. 12.
iv INTRODUCTION.
6. Idoneals. — There is a certain class of numbers (D) such
that, if any number (N) be monomorph in a 2-ic form (t 2 3? Du 2 ),
then N is either a prime or a power of a prime. Such numbers
(D) are termed Idoneals*; all others are termed Non-
Tdoneals.
Only 65 positive Idoneals are known : these are [D in t 2 +Du ! ] :
D = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 21, 22, 24, 25, 28, 30,
33, 37, 40, 42, 45, 48, 57, 58, 60, 70, 72, 78, 85, 88, 93 ; 102, 105,
112, 120, 130, 133, 165, 168, 177, 190 ; 210, 232, 240, 253, 273, 280,
312, 330, 345, 357, 385, 408, 462, 520, 760, 840 ; 1320, 1365 ; 1848;
and there are no moref < 100,000. These numbers are useful
in the determination of primes of form (t 2 4-Du 2 ).
Most negative numbers (D) are Idoneal ; all squares > 144,
and most numbers of form D = 8 2 + l, are negative Non- Idoneals.
There are only 220 negative Non-Idoneals < 1000 : those < 250
are [D in t 2 — Du 2 ], see Note t below :
D - 25, 34, 37, 49, 64, 79, 81, 82, 99 ; 100, 101, 121, 136, 141, 142,
145, 146, 148, 156, 169, 178, 189, 194, 196, 197 ; 205, 219,
220, 221, 223, 224, 225, 226, 229, 235.
7. Quadratic Forms of Primes. — An odd prime (p), in order
that it may be expressible in one of the forms (t 2 ± Du 2 ) — with
D ~jf> 19 J and =£ &S 2 — must be of the linear form shown in the
following Table. This condition suffices when ±D respectively
is an Idoneal (shown by the letter I in the Table) ; but, when
±D respectively is a Non-Idoneal (marked N in the Table),
p may require to be multiplied by some suitable factor (2, 4,§
&c, as shown in Table) in order to be so expressible.
* This is Euler's term.
t See Abstract of a Paper " On Idoneal Numbers," by the Rev. J. Cullen
and the present writer jointly, in British Association Report for 1901, page
552 ; it is hoped to publish this Paper in extenso shortly.
% The limit of D in these Tables being 19 (page 259).
§ The multiplier 9, used in the Tables (page 258) with D = 17, is
unnecessarily large,
INTRODUCTION. V
[Note. — Whenever (=FD/p) 2 = + 1, some factor /* may always be found
such that jxp = t 2 ±Du 2 ; but the only (quadratic) forms of p admitted in
these Tables are those of the principal genus of the determinant (fD) of
the 2 -ic form (t 2 ±Du 2 ).]
N.B.— The upper half of this Table relates to D in p = t 2 + Du 2 ; the
lower half relates to D in p — t 3 — Du 2 .
D
1
I
2-ic Form of p.
Linear Form of p.
I
p - a 2 + b 2
iw+l
2
I
p = c 2 + 2d 2
8w+l,3
3
I
p - A 2 + 3B 2
6w + l
5
I
^ = x' 2 + 5y' 2
20w+l,9
6
I
p = G 2 + 6H 2
24nr+l, 7
7
I
p = t 2 +7u 2
14<ur + l, 9, 11
10
I
p = | 2 +10rj 2
40<ar + l,9, 11,19
11
N
p or ip = v 2 + llw 2
22w+l,3, 5,9, 15
13
I
p = t 2 +13u 2
52<ar + l,9, 17,25,29,49
14
N
por2p = t 2 +14u 2
56tjt+1, 9, 15,23,25,39
15
I
p m t 2 +15u 2
3Q<ar+l, 19
17
N
por 2p = t 2 +l7u 2
68w + l,9, 13,21,25,33,49,
33
19
N
por 4p = t 2 +19u 2
38<ar+l,5, 7, 9, 11, 17, 23,25,
35
1
p - a 2 -b 2
4tr±l
2
p = e 2 -2f 2
8w±l
3
i> = A' 2 -3B' 2
12w+l
5
p = x 2 -5y 2
10-aril
6
p - G' 2 -6H' 2
24nr+l, 19
7
^ - t' 2 -7u' 2
28nr+l,9, 25
10
^ = |' 2 _10t7' 2
40w±l, 9
11
/> = y 2 -iiw /2
44w+l, 5,9, 25, 37
13
jy - t /2 -13u' 2
26<ar±l,3, 9
14
p = t ,2 -14u' 2
56-ar+l, 9, 11,25,43,51
15
p = t' 3 -15u' 2
60w-f 1,49
17
jt> = t' 2 -17u' 2
34nr±l,9, 13, 15
19
p = t' 2 -19u' 2
76w + l, 5, 9, 17,25,45,49,61
,73
VI INTRODUCTION.
7a. Quadratic Forms of Odd Composites. — An odd composite
number (-ZV), in order that it may be expressible in one of
the forms (t 2 ±Du 2 ) — with D > 19, and ^ k& — must be
of the linear form laid down in Art. 7 for a prime ; and it
is further necessary that =FD respectively should be a 2-ic
Residue* of every odd prime factor of N. When ±D respect-
ively is an Idoneal (marked I in Table), these conditions suffice ;
otherwise — when ±D respectively is a Non-Idoneal (marked N
in Table) — N may require to be multiplied by some suitable
factor (2, 4, &c, as shown in Table).
Ex.— Is N = 3231 1 = G- 2 + 6H 2 ?
Here D = 6, JT- 24rc + 7 = 79.409. Also
79 = 8i + 7 = 12/+ 7; 409 = 8i + l = 12/+7.
V409 j = V409/ * V409/ * V409/ =
-i)( + i)(-i) = +n
+ i)( + i)( + i)= + ij
As D m + 6 is an Idoneal, and all the conditions are satisfied, therefore
^=G 2 + 6H 2 .
8. 2-ic Forms of Even Numbers. — It is beyond the scope of
this Introduction to give the conditions for expressibility of
even numbers (N) in general in given 2-ic forms. The general
conditions that t 2 — Du 2 = N (an even number) will be given
below only for those even numbers N = ±2, ±4, ±8, ±16
dealt with in these Tables (pages 262-264).
8a. Case of t 2 — Du 8 = N — ±4, ± 16. — Solutions (t, u) in
even numbers are obvious. Thus —
If (t , u ) be solutions of t 2 — Du 2 = + 1 or — 1,
then (2t , 2u ) are solutions of t 2 -Du 2 = +4 or -4 ;
and (4t , 4u ) are solutions of t 2 — Du 2 = + 16 or — 16.
* If the factors of N be unknown, this condition is difficult to test ; in fact,
it requires the establishment of a congruence of form t' 8 ±D . u' 2 = (mod N).
INTRODUCTION* Vll
By far the more important solutions, however (and the only-
kind dealt with below), are
t, u both odd when D is odd ; t even, u odd when D is even (2).
Such solutions are possible, with few exceptions, in the
following cases (see Tables, pages 263, 264) ; the exceptions
occur only* when — D is Non-Idoneal. The symbols D', 8' are
here used : thus
D = D', 5=5' when t 2 -Du 2 = - 1, [t, v both odd]
Then the forms of D required are
N=+i; when (1) D = 85 + 5; (2) D = 4(45 + 3) ; (3) D = 325 ^ q (1a).
iV=-4; when (1) D = 85 + 5 = D' ; (2) D = 45 = 45' ^ D (1b).
N= + 16; when (1) D =85 + 1^ Q; (2) D = 165 = 16(8i + 3), T 2 -5y 2 = -2
(1c).
i\ r =-16; when (1) D = 85 f 1 = D' ^ Q ; (2) D = 165 - 165' ^ q... (Id).
8b. Case of t 2 -Du 2 = N = ±2, ±8. — As in Art. 8a, the
solutions sought are
t, u both odd when D is odd ; t even, u odd when D is even (2).
Now, let q x , q 2 , q s be the types of the primes (of the three
kinds below) entering into D, viz. :
^ = 8k +1, ? 2 = 8k + 3, 2 8 = 8k + 7;
and let II (q) denote a product of primes of type q. Also let
the five kinds of D be denoted thus —
T>[ = 85 + 1 = n (ft), T>" = 85 + 1 = n (q 2 ) or n {q 2 and q x ),
D[" = 85 + 1 = n (q s ) or n {q 3 and q x ),
D 2 = 85 + 3 = n (q 2 ) or n (? 2 and q x ), D 3 = 85 + 7 = n (q 3 ) or IT {q 3 and q x ) ;
so that D is denned by its linear form 88 + 1, 3, 7, and by the
sort of primes (q v q 2 , q s ) composing it.
Then solutions of the kinds stated in (2) are possible, with
few exceptions, for the forms of D stated below ; the exceptions
occur only* when — D is Non-Idoneal.
* And are in fact a proof of the Non-Idoneality of — D.
Vlll INTRODUCTION.
N= +2; when D - D 3 ; 2D[, 2T>'" ; 2D 3 (2a).
N = -2 ; when D = D 2 ; 2Dj, 2D" ; 2D 2 (2b
N = +8 ; when D = D(, D(" ; 4D 3 : 8D(, 8D;" ; 8D 3 ... (2c).
N 8 ; when D = T>[, D("; 4D 2 ; 8D(, 8Di' ; 8D 2 ... (2d).
Note that t 2 — Du s = ±2 are not possible together ;
t 2 — Du 2 = ±8 are possible together only when r-Du : = —1.
t 2 — Du 2 = ±2 and = ±8 are not possible together.
t 2 — Du 2 = ±2 is not possible when D = 43.
t 2 — Du 2 = ±8 is not possible when D = 168.
9. 2-ic Forms of ^.N. — Given a number (N) expressible in
a 2-ic form (t 2 ±Du 2 ), it is sometimes useful* to know the
lowest multiple (say /x .N), similarly expressible. The lowest
factor fi required for each value of D > 19 (and ^ k . 8 2 ) is
shown below :
D m 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 19 ;
(t 2 + Du 2 ); fio - 2, 3, 4, 6, 7, 8, 11, 12, 14, 15, 16, 18, 20 ; =1 2 + D.l 2 .
(t 2 -Du 2 ); fiQ= ., 2, 6, 4, 3, 2, 6, 5, 3, 2,10, 8, 5; = t 2 -D.v 2 ,
0=1,2].
Given the 2-ic form of N, that of p .N can always be found
by the process of Art. 10 ; given the 2-ic form of /* . iV, that of
N can be found — always when ± D respectively is Idoneal, and
sometimes when ±D is Non-Idoneal — by the process of Art. 15.
10. Gonformalf Multiplication. — When N = N X .N 2 , and each
of N lt N 2 is given expressed in the same 2-ic form as
A^-^DnJ, n 9 = %+Du\ (3),
then N can be directly expressed (in two ways) in the same
2-ic form, say JV=T 2 + DU 2 (3a),
* The 2-ic form of /u .JV is sometimes quite as useful as that of N:
e.g., the form ip = L 3 + 3(3M) 2 was used by Jacobi for determining when
(a/p) 3 = 1, and the form 4p = X 2 — 5Y 2 was used by Lloyd Tanner for work
with complex 5-ic numbers.
f A term introduced by the Author to express multiplication with preserv-
ation of 2-ic form. The process is of more general application than here
shown: see the Author's Paper on "Connexion of Quadratic Forms," in
London Mathematical Society's Proceedings, Vol. xxviii., 1896, Arts. 6-9.
INTRODUCTION. IX
where T = t t t 2 ^ D^o,, U = i^n a ?b u^
\_opp. signs in T, U] ... (3b).
Similarly, if JV^ = t 2 — Du^, N t = tj— BnJ (4),
then AT = T 2 -DU 2 (4a),
where T = t^ ^ D 1 u 1 u 2 , U = t^ q* u^
[same signs in T, U] ... (4b).
These formulae give in each case two forms for N, on account
of the double (±) sign in T, U.
Similarly, if N = ^.N^.N^... N„ and each of N lt N Si . . . , N r
be given expressed in the same form, say .A 7 ,. = t; - . ±Du,., then
N t . JV 2 can be compounded as above into iV 12 in two ways ;
N u . JV 3 can be compounded as above to form N m in four ways ;
and so on. Finally, the product- form of N as T 2 ± D . U 2 will
be produced in 2 r_1 ways; and the same 2 rl forms will result
in whatever order the factors are combined.
The above process — styled Gonformal* Multiplication — is of
great use for finding the quadratic partitions of large composite
numbers (JV), when the similar partitions of the factors of N
are known.
^.—Express N - 32311 in the form (G- 2 + 6H 2 ). [Shown to be possible
in Art. 7a.]
Here i\ r = 79 . 409 = (5* + 6. 3 2 ) (5 2 + 6 . 8 2 ). [See page 245.]
.-. 2V- (5. 5^6. 3. 8) 2 +6. (5. 8^3. 5) 2 = 119 2 + 6.55 2 = 169 2 + 6.25 2 .
11. Unit-Forms. — The equation t 2 — D.t/ 2 = 4-1 always admits
of solution (where D -=f=. S 2 ) ; and in some cases r" — D . v = — 1
also admits of solution (see Art. 13). These are called Unit-
forms. Now, by conformal multiplication (Art. 10),
(t 2 -D. v 2 ) 2 = (r* + D. v*y-T>. (2tv) 2 = (±1) 2 = +1 ... (5a),
( T 2 _ D , v >y - ( t 3 + 3 d .rJy-B . (3t 2 v+ 2 v 8 ) = (±1) 3 = dbl
(5b).
Similarly, any power of a unit-form may be reduced to the
same form :
(T 2 -D.v 2 r = <-D.^ = (±ir = ±i (5c).
* See footnote f on page viii.
C
T„
T„
T„ T,
X INTRODUCTION.
Thus the equation t 2 — D.v 2 =+1 always admits of an
infinite number of solutions, as does also r" — D.v' = — 1 (if
soluble at all). If the successive solutions, obtained as above,
be denoted by
0o> v o)> ( T l> V l)> ( T 2> v 2 )> &c -> of t 2 — D.v 2 =+1:
(tJ, v{), (T2, v 2 ), &c, of t' — D.v' =—1,
they are connected by the following relations, which enable
(t m , v n ), (t'„ v' H ) to be calculated in succession, either upwards or
downwards, from any given adjacent pair : —
T )i+1 = 2r x .T n — T n _!, v rt+1 = 2T 1 .v n —v n _ l (6a) ;
i = 2T t . < — <_!, i4 + i = 2t 1 .u, , 1 — V,',.! (6b) ;
-t„,_! = 2t 1 / .t, , ) , v n — v n _j = 2r[.v n (6c) ;
r«-i = 2tJ.t m _„ v,'— l>i_, = 2t[.w m .! (6d).
The solutions (tj, v x ), (tJ, vQ may be looked on as fundamental ;
as from these — along with t = 1, v = (in all cases) — all
the rest may be derived.
Table of Least Solutions (page 260). — This Table gives the least solutions
of t 2 -D. u 2 = + 1 and of t /2 -D. u' 2 = -1 (when possible), up to D > 100.
Table of Multiple Solutions (page 261).— This Table gives a number of the
successive solutions of T 2 -D.tr = ±l, for all values of D^>20, and =£ 8 2 ,
up to values of r, v of 6 or 7 figures.
12. Automorphs. — Any number (N) expressible in the form
N ■= t 2 — D.u 2 can be expressed in an infinite number of ways
in that form by conformal multiplication (Art. 10) by any power
of the unit-form t 2 — D.v 2 = 1. Thus —
N = t 2 -D . u 2 = (t 2 -D . u 2 ) (t 2 -D . v 2 )" m (t 2 -D . u 2 )(t 2 - D . v 2 )
= (tr, ( ^D.Uv„) 2 -D.(tv n ^UT, ( ) 2
[same sign in each bracket] ... (7).
Denoting the successive values of (t, u) thus obtained by
(t , u ), (t„ u,), (t 2 , u 2 ), &c, they are connected l>y the relatione :
t M+ i = 2T 1 .t n ^t M .„ u H+1 = 2T 1 .u n ~u rt _ 1 (8),
where (r a , v x ) is the least solution (t x > 1, Vj > 0) of t 2 — Dv a = + 1 ;
these enable the quantities t M + 1 , u n+J to be calculated in sue-
INTRODUCTION. XI
cession from each pair of preceding values (t M , u H ), (t M _ b u„_,).
Any particular values (t r , u,.) can be obtained from the preceding
values (t r _ 1 , u,._,), or from the succeeding values (t r + 1 , u,.^) by
the formulae :
t r = t r _ j . T , + D . U r _! . Wj, u,. = t r _! . v x + u,..! . t, ... (9a) ;
t r = t r + 1 .T 1 ^D.Tl r + 1 . V,, U,. = t,. + 1 . V 1 r^Vi,. JrX .r l ... (9b).
Such forms, so obtainable from one another, are thereby
equivalent (not independent) forms : they are styled Automorphs.
13. Antimorphs.— The two forms (t 2 — D.u 2 ), (D.u' 2 — t' 2 ),
having the same D, are styled Antimorphs. A number A T ,
expressible in either form, is also expressible in the other forms
when (and only when) a solution of r' — D . v~ = — 1 is possible.
And, if a number N be given expressed in either form, it can
(under the above condition) be directly expressed in the other
form in an infinity of ways by conformal multiplication by odd
powers of the negative unit-form. Thus —
(rf-D.vf)" = (rf-D.v; 2 ) = (-1)" = -1, [n odd].
K= t 2 -Du 2 =-(t 2 -D.u 2 )(T^-D../';) = D.(tvn^nr n ) 2 -(trn^D.uv n )\
[nodd] (10a),
N' = D.u ,2 -t' 2 - -(Du' 2 -t /2 )( T ,?-D.u;0 = (tT^D.u^^-D.^^UT;,) 2 ,
\\n odd'] (10b).
[the same signs to be used in each bracket].
Hereby N is expressed in two series of forms ; the forms in
either series are Automorphs of each other, and each series is
the Antimorph of the other. And it is evident that such
Antimorphs are equivalent (not independent) forms.
The values of D which yield solutions of t /2 — Di/ 2 = — 1 are
1° D = 45+1 = prime; 2°*D = 5 2 +1 (11a);
3° when £D = 45 + 1 = prime, and — D is Idoneal (11b) ;
4° when D or |D = D^DgD^... ~=f=- D, (where each factor is of the
kinds 1°, 2° above), and — D is Idoneal (lie) ;
5° when the continued fraction expression of VD contains a double
middle term ( 1 1 d) .
[Note that Case 5° includes all the preceding, but is troublesome to apply
unless suitable Tables be available.]
* This kind is omitted in Degen's Tables.
Xli INTRODUCTION.
14. Base-forms. — Among the infinity of ways (Automorphs) in
which a number (A T ) may be expressed in the form (t 2 — D.u 2 ),
the most important is that in which t, u are the least possible :
this is called the Base-form, and the values t , u therein are
Tiase-vahtes of t, u.
The following formulae, adapted from (9b) :--
t ( ._, = t v .T x ^D.u,.^, u,._! = t,..v l ^ u,..^ (12)
(wherein v v v x is the least solution of t 2 — D.v 2 = +1), express
the values t,._ 1? u,._! in terms of the succeeding t,., u,., and
supply an easy test whether a given pair (t n u r ) are the lowest
or not. For, if t r , u r be the lowest, then
t r .j < t r and u r _! < u,..
These, when reduced, will be found to give as the condition*
that t,., u,. should define the Base-form :
t r > r -^.u, (13).
v i
If this condition is not satisfied, then a lower pair (t,._!, u^)
will be given by (12), and the test again applied ; if it still
fails, then t,._ 2 , u,._ 2 may be found, and so on.
For facility of application, the reduced value of the ratio
(t 1 + 1)-t-v 1 required in (13) is given below for all values of
D > 20 and zfz 8 2 .
D = 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20.
(t 1+ 1) + W! = 2, 3, |, 3, 3, 4, V, V-, 4, f|, 4, 5, ±f , §, fg, 5.
[All the Tables of p = t 2 — D.u 2 of the present work have been tested by
this rule, and the Base -forms only are given.]
Ex.— Given N - 6737 = 194 2 - 1 1 . 53 2 . Here t r = 194 < y . 53 ; so that
lower values exist. Now r\ = 10, v x = 3 ;
.•. tr-i- 194.10^11.63.3 - 191, u,._i = 194. 3 ~ 53. 10 = 52.
Also ir-\ = 191 > V- . 52. Therefore N = 191 2 - 11 . 52 2 is the Base-form.
* This very simple condition does not seem to have been published before.
INTRODUCTION. Xlll
15. Conformal Division* — When a number (JV) is the quotient
of F-z-f, and each of F, /is expressible in the same 2-ic form,
Say F=T 2 ±T).U\ /=t 2 ±D.u 2 (15).
This will in many cases involve — always when ±D is Idoneal,
and also in many other cases — that N also is expressible in the
same form, say
J J N=x 2 ±D.y 2 (15a).
When the forms (15) of F f f are both given, the actual ex-
pression of N in that form — when such is possible — may be
effected as follows, provided that / be monomorph, i.e. expres-
sible in only one way (Art. 5) in the given form.
Case i. —
FsrTH-D.U*, /=t 2 + D.u 2 , tf = aj* + D.y s ... (16).
Take X = tT^DuU, Y - tU^buT
[opp. signs in X, Y] ... (16a).
Case ii. —
F = T 2 -D.U 2 , /=t 2 -D.u 2 , N=x>-V.y 2 ... (17).
Take X = tT^D.uU, Y=tU^uT
[same signs in X, Y] ... (17a).
In both Cases i., ii. each of X, Y has two values (due to the
double signs in X, Y) : one pair of these will always give
X-r-/, Y-irf fractional, (these are of no further use) : one pair
will give X-irf, Y+f both integral (whenever the process is
possible) . Then, for use in N :
x = X-i-f, y = Y-r-f (the integer values) ... (18).
When /is not monomorph, i.e. when / is expressible in more
than one way in the given form, it can always be resolved into
factors (prime or composite), say / =s f u f 9 ./».../„ each of which
separately is monomorph in the form. The above process may
* Conformal Division. — A term introduced by the Author to denote division
with preservation of form. For a full explanation of the process, see the
Author' 8 Paper on " Connexion of Quadratic Forms" in Proceedings of the
London Mathematical Society, Vol. xxviii., 1896, Arts. 15-23.
XIV INTRODUCTION.
then be applied, first, to F-r-f x , yielding as result F x ; and may
next be applied to F x -r-f 2 , yielding as result F % \ and so on,
ending with operating on F r _i-—f„ yielding finally N in the
form required.
[Note that the process way succeed (i.e. one value of X+f, Y-r-f may
turn out integers), even when / is not monomorph, provided that the given
form of F is the particular one out of all its polymorphs (Art. 5) suited to
the given form of/; but this cannot be detected a priori. ~]
If .F = T 2 -D.U 2 , /=t 2 -D.u 2 , they may— if they are not
Base-forms — be reduced to Base-forms (Art. 14), so as to reduce
the magnitude of the numbers (T, U, t, u) to be operated on
before applying the process of this Article.
This process is very useful for effecting the 2-ic partition of
a large number i\T, when the similar partitions of some multiple
of it, say F =f.N, is known (provided that of / also can be
found) .
t? rr Ar , fl ,A n 30024 2 -10.805 2 F £ , XT „ , A -
Ex. - Given N = 78409 = ^^^ - j \ And *-*-!**
(known to be possible, because — 10 is Idoneal).
Applying the test (13), J^is seen to be a Base- form.
Also / = 11414 = 2.13.439 = (6 2 -10.1 2 ). (23 2 -10. 3 2 )=/ 1 ./ 2 .
Thus /is not monomorph (being a product of like forms, Art. 10) ; but its
factors f x = 26, / 2 = 439 are both monomorph (for /, = 2x prime, and
/ 2 = prime, Art. 5), and are both Base-forms (Art. 14).
Theu M = /, ; take j, - * - 3002 4*- !0 ■ 805*
/,/»' /, 6=-10.1-
-p "XV
To reduce F x — — , take x x = — - , y x = (the integer values).
/i /i /i
6.300024-10.1.805 --.<, 6.805-1.30024 ofto
* 1 = 26 = 6619; ft = = 969.
Therefore F x = 6619 2 - 10 . 969 2 (which is a Base-form),
a N= F ^= 6619 2 -10. 9 69-
an / 2 232-10. 3* *
X Y
Now take a* 2 = --, y< i = —2 (the integer values). Then
/a A
X x 23.6619 + 10.3.969 ... Y x 23.969 + 3.6619 Q .
Xc — -J = — = 413 : y 2 = . = zz = 96.
- / 2 439 • 2 / 2 439
Therefore N = 413 2 - 10. 96 2 (the Base-form of N, see Art. 14).
INTRODUCTION. XV
16. Composition of Forma. — When a number N is given ex-
pressed in two different forms (i.e. with different values of D),
N = r 2 + mt 2 = s 2 + mu 2 [w, n may be i.ra^ »] ... (19).
st) 2 — rt(ru) 2 _ (mst) 2 — mn (ru) 2 _ .F
mt 2 — nv? (mt) 2 — mwu 2 f
m, AT m(st) 2 — w(ru) 2 (mst) 2 — ww(ru) 2 F
Then JV = - \ J 3 = ' , ^ V, = — , suppose
(19a).
i?Mfe of Signs. — The sign (T) attached to mn in F, f will be
according as the signs of the given m, n are #£« or unlike.
Here .F, / are of the same form. Some reduction may usually
be made of the fraction F-i-.f by cancelling out common factors
of mt, u, but without destroying the similarity of form.
Writing the reduced result :
*=5=^?=f urn,
t — mnn J
then, if N be actually expressible in the same form,
N = x^—mny 1 (as will always be the case if — mn be Idoneal,
and in many other cases), the actual expression of N in that
form can be effected by conformal division (see Art. 15).
Ex.— Given N= 78409 - 161 2 + 2.162 2 = 278 2 + 5.15 2 , find N=x' i -\(iy 2
(a possible form because —10 is Idoneal).
Bv (1&0 N = (2-162.278) 2 -10(161.15) 2 = F
' v ; ' (2. 162) 2 -10. 15 2 /
30024 2 -10.805 2 F' „ ir ... ^, ..
= ~To8 2 -10 5 2 = ~f ^ 7 cancelhn ^ out the factor 3 3-
The reduction of this last result by conformal division has been given in
the Example of Art. 15, giving N~ = 413 2 - 10 .96 2 .
This process is very useful for finding directly the partition
[x 2 — (±ra)(d=w)y 2 j of a large number N from two (given)
partitions above.
E.g. — The partition N = # 2 — D.y" of a large number (iV) by any tentative
process is a distinctly difficult matter. The easiest way is in many cases to
form, first, two partitions iV=r 2 + wt 2 = s 2 + wu 2 (m, n both +), such that
mn = D, by some tentative process (as these are much easier to form than
the required partition); and then find JV=# 2 — D.y 2 by the above direct
process.
XVI INTRODUCTION.
Ex.— Given ^=5. 2^+1, find N = x 2 -5y 2 .
Here it was found convenient first to determine
N = a 2 + b 2 = *12455 2 + 3556 2 , and N = x /2 + 5y' 2 = *2766 2 + 5 . 5659 2 .
The above process (26) gives, on reduction,
N= x 2 -5y 2 = 417791 2 — 5. 186752 2 , wherein 2x < 5y ;
and this, not being the Base-form (Art. 14), is reduced to the Base-form,
wherein 2x > 5y, by (12), giving
If- x 2 -5y 2 = 25079 2 -9604 2 .
17. Cubic Forms (x 3 =Fy 3 )-r-(x=Fy). — These cubic forms are
interchangeable with the 2-ic form (A 2 +3B 2 ) ; for let
N = (x 3 -y 8 )-Kx-y) = x 2 +xy + y 2 = A 2 + 3B 2 , [N odd] . (20).
Both cubic forms are included in (20), since each of x, y may
be either + or — . Then x, y and A, B may be interchanged
by the following formulas : —
i. x = 2B, y = A— B ; A = §x + y, B = |x ; [x even, y odd].
ii. x = A-B, y = 2B ; A = x + |y, B = |y ; [x odd, y even].
iii. x = B + A, y = B-A; A - |(x-y), B = |(x + y) ; [x, y both odd].
18. Binomial Congruences. — The following binomial con-
gruences : —
x* = -l, x A = ±l, x* = -l, x« = -l, x u = -l, (mo&p),
can be directly solved from the simpler 2-ic partitions [the
(a, b), (c, d), (e, f), (A, B), (A', B')] of this work. Let x,, x„
a? 4 , x 6 , x n respectively be a root of the above (the suffix showing
the congruence to which x belongs). The solutions (x) below
are given in the form of fractions, x = X-f- Y (modp), which
are to be used by determining m so that either of
(Xzkmp) + Y or (Y±mp)-t-X = x, an integer ... (21).
The value of x so found is a root of the congruence. Thus the
solution of binomial congruences of the 2nd, 3rd, 4th, 6th, 12th
* These two partitions were found by the Rev. J. Cullen, S.J.
f
INTRODUCTION. XV11
order is reduced — with the help of 2-ic partitions — to the
solution of a linear congruence, so that they can be all solved*
for all primes > 100000 (the limit of these Tables, pages 1-240).
i. Let p = a 2 + b 2 . Then the two roots x 2 are either pair of
#2 = ±a/b or = ±b/a (22).
ii. Let p = A 2 + 3B 2 . Then
A-B ^B_. B + A B-A
* 3 ~ 2B ' A-B' B-A' BTA (23) '
The + pair are the roots of x* = + 1, and the — pair are the roots of x' A = — 1.
iii. Let p = a 2 + b 2 = c 2 + 2d 2 = e 2 -2f 2 . The four roots are any sett of
x = ± — a=fc b ± — a ±b ± A 5l±^ . A a±t>
c ' a or b ' 2d ' a or b ' e * a or b ' 2f ' a or b '
*^*^ < 2 *>-
iv. Let j3 = a 2 + b 2 = A 2 + 3B 2 - A' 2 - 3B' a . The four roots x 6 are given by
x = x 2 .x 3 (25).
They are also given as any set of
*-*(***fi."»(*^).tf(*M;-*
■)•
v. Let p = a 2 + b 2 - c 2 + 2d 2 = e 2 - 2f2 = A 2 + 3B 2 = A' 2 - 3B /2 . The eight
roots x 12 are given by ^ m ^ ^
vi. Let # H be a root of x n =\,n odd and prime to 6. Then each root (x n )
may be combined J with the above roots to give roots of higher congruences.
Thus
Xin = X t .X ni X Zn 3 X 3 .X n , X± n = X 4 .X n , X 6n S #6-^, #12n 3 iP 12 . a? n ... (27)
give roots of
x*» = -l, **» si, **3-L z 6M = -l, a; 12 " = -l.
* The Author has prepared Tables of solutions of the congruences
x n =fl = 0, (mod p and p K ), for all values of n^p 15, complete up to j9 and
p K "jf 10,000, and also for very many 5-figure primes in the case of n "jf> 8.
It is hoped to publish these in due course.
f The sets formed with (a, b) , (c, d) were communicated to the Author by
Mr. A. E. Western.
X This rule makes it easy to extend the Tables mentioned in the footnote *
to much higher powers.
d
XV111 INTRODUCTION.
Ex.— Let p = 1009 = 15 2 + 28 2 = 19 2 + 2.18 2 = 31 2 + 3.4 2 .
. 28 . 28 + 8072 . ,, n
L H S± „ S± _ T __ =±5 40.
u. x 3
31-4 27 + 6046 =+63 aroot of *»= +1.
2.4 8
19 15-28 _ , 247 = =F 247 ±3 027 _. ±139
m. ^4-± 2>18 . 15 ==F 4>2 7.5- 4.27.5 27
= ±139±6045 = , 92
27
iv. x 6 = ±540.634 = ±342360 = ±309.
v. x l2 s 634. (±192) s ±121728 = ±648.
19. Residuacity of Small Bases. — One of the most important
applications of quadratic partitions is the ease with which they
enable the possibility of dividing the small factors n = 3, 4, 8,
out of the exponent (p — 1) in Fermat's congruence
[a^^^+l (mod^))] to be tested, whereby the latter may
be reduced to the simpler form :
a<*-» + * == sfcl (mod 2>) (28).
Rules for doing this in the case of all the small bases
d=a = 2, 3, 5, 6, 7, 10, 11, 12, and also for the factor 16* when
a = ±2, have been collected together in a simple form in the
late Mr. C. E. Bickmore's two Papers f "On the Numerical
Factors of (a n — 1)." Also rules as to casting out the small
factors 3, 4, reduced to a simple form in the case of all the
small prime bases q j>31, 29, respectively, are given in Pere Th.
Pepin's " Memoire sur les lois de reciprocity relatives aux
residus des puissances." J The above rules require the use of
the (a, b), (c, d), (A, B), (L, M) partitions only, and these are
given in the present Tables (pages 1-240) for all primes
> 100,000.
Further simple rules as to casting out the factor 4 applicable
to any base (q) whatever, for which one of the partitions
p = t 2 ±^ii 2 is known, are given in the present Author's Paper §
" On 4-ic Residuacity and Reciprocity."
* This rule was discovered by the present Author.
t Messenger of Math., Vol. xxv., 1895, pages 1-44; Vol. xxvi., 1896,
pages 1-38.
J Atti delV Accad. Pont, de Nuovi Lincei, Rome, 1878.
§ Proc. Lond. Math. Soc, Ser. 2, Vol. i., pages 132-150.
OFTHE
UNIVERSITY
OF
INTRODUCTION. xix
20. Congruential Uses. — Quadratic partitions may be treated
as Congruences (to modulus p), and are often of great use
(along with other data) in solving congruences of form
a* = zkb y , a*\ ^ = ±1, where x, y, x\ y' are the sought
exponents of the (given) bases a, b. When no conditions are
given as to x, y, x', y f , the number of solutions is infinite ; it is
often desirable that one of the exponents — say y, y' — should be
a minimum; this makes the solutions definite. An example
will make this clear.
Ex.— Let p = 2521. Find 2* ■ ±b y , 2* '. b y ' a ±1, when b = 3, 5, 7 ;
y, y' to be minimum.
The Tables (pages 10, 247, 249) give
p = 2 3 .3 2 .5.7+l (1); - 3 6 + 7.2 8 (2); - 2 12 -7.3 2 .5 2 (3);
- 3 2 .l7 2 -5.2 4 (4) ; - 5 2 .17 2 -6.2M 2 (5).
Here (1) and (3) give 2 15 = -5 (6);
(1) and (2) give 2 10 . 3 8 = — 1 (wherein y' is not a minimum) (7) ;
(4) and (5) give 2 . 3 3 . V = 5 3 , and (3) gives 2 24 = 7 2 . 3 4 . 5 4 .
These last give 2 25 = 3 . 5? s 3 . ( -2 105 ), by (6), whence 2 80 . 3 = - 1 . . . (8).
Again, (3) gives 2 12 = 7. 3 2 . 5 2 = 7.3 2 . 2 30 , by (6) ; [Now multiply by 2 130 .]
Hence 2 142 = 7. (3 2 . 2 160 ) a 7, by (8) (9).
Here (6), (8), (9) are the required results with y, y' a minimum. Note
that equation (2) leads to result (7), wherein y' is not minimum ; it does not
seem easy to determine a priori what partitions (or other data) will lead
to minimum values of y, y'.
21. Calculation of Haupt- Exponents (£). — The Haupt- Exponent
(£) of a base a to a given prime modulus (p) is the least
power (£) yielding a^ = + 1 (mod p) . The 2-ic partitions of p
often yield great help — along with other data — in determining
Haupt-exponents, and sometimes suffice of themselves without
other data, as will be seen by some examples.
Ex.— Let p - 2521. Find the £ of the bases 2, 3.
In the Example of Art. 20, the results were found :
2 10 . 3 8 = -1 (7); 2 80 .3 = -1 (8).
XX
INTRODUCTION.
Here, from (8), 2« 40 .3 8 = + 1, whence, by (7), 2 630 = -1 and 2 1260 = + 1 ,
and, from (7), 2 80 . 3 M = + 1, whence, by (8),- 3 s3 = -1 and 3 126 = + 1.
Here it has been possible to obtain the Haupt- exponent (|) of the bases
2, 3 by the use of 2-ic partitions only, without other data. It is clear that
for this purpose a sufficient number of suitable 2-ic partitions (or other data)
must be available to yield two (independent) congruences connecting the
bases in question.
21a. If the Haupt-exponent (£) of one base (a) be given,
then, to obtain the Haupt-exponent (rj) of any other base (6),
it will suffice to obtain one * congruence of form a x = ± b y or
a x .b y = ±1, connecting a, b.
Ex.—Qixea. 2 1260 = + 1 (mod p) = 2521, find the Haupt-exponent of 5.
In the Example of Art. 20, it was found that 2 15 = — 5.
Here 2 630 = -l, whence (2 15 ) 42 =-1, giving (-5) 42 = -1, whence
2^= +1.
Caution. — In finding Haupt -exponents as in Arts. 21, 21a by the use of
congruences of form a x = ±b y , a x . b y = ± 1 , it is necessary that the
exponent (y } y') of the base (b) whose Haupt-exponent (77) is sought should
be a minimum ; otherwise the value of 77 in the final congruence b 7 * = + 1 is
liable not to be a minimum (as is required).
22. Number of Primes. — Here follows an Abstract showing
the total number of (odd) primes of various forms which are
< 1000, 10000, 100000 respectively.
Limit.
Total.
+
7
+
7
CO
+
22-
+
+
+
so
+
CM
+
< 1000
< 10,000
< 100,000
167
1228
9591
80
609
4783
87
619
4808
81
612
4784
86
616
4807
37
295
2384
40
306
2387
36
300
2373
19
144
1188
14
143
1180
18
152
1189
* This process has been largely used by the Author in the compilation of
a Table of Haupt- exponents of all the bbses 2, 3, 5, 6, 7, 10, 11, 12 (mod p)
up to jt?3f> 10,000 ; this work — undertaken in conjunction with Mr. H. J.
Woodall, A.R.C.Sc— is now far advanced, and should shortly be published.
^
INTRODUCTION. XXI
23. Earlier Tables. — The only important published Tables of
2-ic partitions (known to the Author) are the two following,
briefly alluded to as
i. Jacobi's, (a, b), (c, d), (A, B) ;
ii. Reuschle's, (a, b), (c, d), (A, B), & (p-l).
i. C. G. J. JacobVs Tables, published in CrelWs Journal, t. xxx., 1846,
pages 174-180 ; and again in Jacobi's Opuscula Mathematical Bd. i., Berlin,
1846, pages 326-332. These give (a, b), (c, d), (A, B) as follows :—
Crelle, pp. Jacobi, pp.
Tab. I. gives (a, b) up to p^ 12,000 ; 174-176; 326-328.
Tab. II. gives (A, B) up to p > 12,010 ; 177-179; 329-331.
Tab. III. gives (c, d) up to jo>>6000; 180; 332.
Tables I., II. were computed by Herr Zornow, Table III. by Dr. Struve.
For List of Errata, see Appendix, page 265.
ii. C. G. Reuschle's Neue zahlentheoretische Tabellen, &c.,* Stuttgart, 1856.
These give (a, b), (c, d), (A, B), (p—l) as follows : —
Tab. Ill.a, pages 23-25, gives (A, B), (L, M) up to p = 5743.
Tab. Ill.b, pages 26-28, continues (A, B) up to p$> 13670.
Tab. III.c, pages 29-32, continues (A, B), where (10/js») 3 = 1, up to
p > 50000.
Tab. IV.a, pages 32-38, gives (a, b) up to p^> 12400 ; and (c, d),
when p = 8w+ 1, up to p'jp 12400.
Tab. IV.b, pages 38-41, continues (a, b), when (l0/p) 2 = +1, up to
p$> 25000.
Tab. IV. c, page 41, continues (c, d), when (10/p) 4 =+l, up to
p-fr 25000.
Tab. V.a, b, c, pages 42-61, gives {p—l) resolved into its prime factors
up to p^> 15000.
The restrictions on the form of p in Tab. III.c, IV.a, b, c causes these
to be very incomplete Tables of (A, B) when p > 13670, of (a, b) when
p > 12400, and of (c, d) throughout. These Tables are unfortunately
badly printed, and contain many Errata. For List of Errata, see Appendix,
page 266.
* Published originally in a "Program" of the Konigl. Gymnasium at
Stuttgart, 1856 ; and again, separately, by Schliessing, of Stuttgart.
xxii INTRODUCTION.
24. Present Work. — Here follows a short account of the
preparation, mode of checking, and history of the present
work : —
(1) Primes (p).—The list of primes up to p$> 100000 (pages 1-240) was
copied off Barlow's* Tables, and checked off Lambert's*. Tables.
(2) Factors of (p— 1). — Up to p '$> 15000 these were copied off Reuschle's
Tables V.a-c, and then checked {oft Barlow's* and also off Sehaller's* Tables.
From p > 15000 the factors were taken, as far as possible, off Barlow's
Table, and checked off Sehaller's Table ; when beyond the limits of Barlow's
Table, they were taken off Goldberg's* Table.
(3) 2-ic Partitions (a, b), (c, d), (A, B), (L, M). — These were copied off
Reuschle's Tables (Ill.a, b, c ; IV.a, b, c ; see Art. 22) up to the limits of
his work, and checked off Jacobi's Tables (see Art. 22) up to the limits given
by him. Beyond Reuschle's limits the greater part were specially com-
puted t+ for this work.
(4) Partition (X, Y).— This was copied off Prof. Lloyd Tanner's Table.*
(5) All other 2-ic Partitions (pages 1-259) . — These were specially computed t
for this work.
(6) Least Solutions of t 2 — Du 2 = ±1 (page 260).— These were copied off
Degen's Table, H and checked off Legendre's Table. H
(7) Least [odd) Solutions of t 2 -Du 2 - ±2, ±8, ±16 (pages 262, 264).—
Computed specially by the Author himself || from the data in Degen's
Table. I
(8) Least (odd) Solutions of t 2 -Du 2 = ±4.— Copied from Cayley's Table. *
(9) Checking. — The whole of the Tables have been checked § at least
once throughout (by recomputing), and in some parts twice. This
checking was in addition to that obtained by the collation of the printed
Tables, [paras. (2), (3) above].
* For full titles of these Tables, see the Appendix, pages 265, 266.
t Partly by the Author himself, partly by two Assistants (Miss G.
Stockton -Smith and Miss A. Woodward) under his superintendence.
t Whilst this was in progress some assistance was derived from some MS.
Tables prepared by the late Mr. C. E. Bickmore, completing Reuschle's
Tables of (a, b), (c, d), (A, B), (L, M) up to j9> 30,000 ; these were kindly
lent to help in this work.
|| With some help kindly given by the Rev. J. Cullen.
U C. F. Degen's Canon Pellianus, Hafniae, 1817 ; and A. M. Legendre's
Theorie des Nombres, 3* Ed., Paris, 1830, Tab. X.
§ Mostly by the Author's Assistants (Miss B. B. Haselden, Miss B. E.
Haselden, Miss G. Stockton- Smith, Miss C. Woodward) under the Author's
superintendence .
INTRODUCTION. XX111
25. Corrigenda (on other Tables). — Errata were discovered in all the
printed Tables used in the preparation of this work. The Corrigenda
necessary, or in some cases (Tab. 5, 6) a reference only to the actual
Errata, are given in the Appendix (pages 265, 266).
26. History of the Tables. — These Tables were begun by the Author in
1897 ; the original computations were carried out by himself with the aid
of Assistants as stated above, under his superintendence and at his own
expense.
The work was laid before the Mathematical Tables Committee of the
British Association in 1899, and continued under its auspices from 1899 to
1901 ; it was recommended for publication to the Association by this
Committee and by the full Committee of the Mathematical and Physical
Section of the Association in 1901 : but the Association was unfortunately
unable to grant the necessary funds at the time, and the Mathematical
Tables Committee was not reappointed.
A grant of £30 was made in 1900 from the Government Grant Fund
administered by the Royal Society towards the expense of checking the
Tables ; and a grant of £80 was made in 1902 from the Royal Society's
Publication Fund towards the cost of printing and publication.
27. Acknowledgments. — The Author is indebted to the Rev. J. Cullen, S.J.,
for some help in preparing the Tables of t 3 — Dv z = ±2, 8, and for advice
in preparing this Introduction.
QUADRATIC PARTITIONS.
p
P -\
a b
c d
e f A B
L M
x y
X Y
t u
v w
2
i
i, 1
0, 1
2, 1
3
2
—
h 1
—
0, 1
°,
2
—
—
—
1, 1
5
4
1, 2
—
—
—
—
5, 2
5, 1
—
3, 1
7
2-3
—
—
3, 1
2, 1
1,
1
—
—
0, 1
—
11
2 -5
—
3^ 1
—
—
—
4, 1
7, 1
2, 1
0, 2
13
4-3
3, 2
—
—
1, 2
5i
1
—
—
—
—
17
16
1, 4
3, 2
5, 2
19
2.9
—
i, 3
—
4, 1
7,
1
8, 3
9, 1
- —
—
23
2. II
—
— '■
5> 1
—
—
—
—
4, 1
9, 1
29
4-7
5, 2
—
—
—
—
7, 2
11, 1
1, 2
—
31
2-3-5
—
—
7* 3
2, 3
4,
2
6, 1
12, 2
—
5, 3
37
4-9
1, 6
—
—
5, 2
ii,
1
—
—
3, 2
7, 3
41
8-5
5, 4
3, 4
7, 2
—
—
11, 4
13, 1
—
—
43
2-3-7
—
5, 3
—
4, 3
8,
2
—
—
6, 1
—
47
2.23
—
—
7, 1
—
—
—
—
—
12, 2
53
4.13
7, 2
5, 2
6, 4
59
2.29
—
3, 5
—
—
—
8, 1
16, 2
—
15, 1
61
4-3-5
5, 6
—
—
7, 2
i,
3
9, 2
i7, 3
—
—
67
2.3.11
—
7, 3
—
8, 1
5,
3
—
—
2, 3
13- 3
71
2-5-7
—
—
", 5
—
—
14, 5
17, 1
8, 1
3, 5
73
8.9
3, 8
1, 6
9, 2
.5, 4
7,
3
—
—
—
—
79
2.3-I3
—
—
9, 1
2, 5
i7,
1
18, 7
19, 3
4, 3
—
83
2.41
—
9, 1
89
8.11
5, 8
9, 2
11, 4
—
—
13, 4
19, 1
—
9, 5
97
3 2 -3
9, 4
5, 6
13, 6
7, 4
19,
1
—
—
—
i7, 3
101
4-25
1,10
—
—
—
—
11, 2
22, 4
—
—
103
2.3.17
—
—
n, 3
10, 1
13,
3
—
—
—
4, 6
107
2-53
—
3, 7
10, 1
—
109
4-27
3,i°
—
—
1, 6
2,
4
17, 6
21, 1
9, 2
—
113
16.7
7, 8
9, 4
11, 2
—
—
—
—
1, 4
21, I
127
2.9.7
~
—
i5, 7
io, 3
20,
2
—
—
8, 3
131
2-5-13
—
9, 5
—
—
—
16, 5
23, 1
—
137
8.17
11, 4
3, 8
13, 4
—
—
—
—
5, 4
3, 7
139
2.3.23
—
n, 3
—
8, 5
23,
1
12, 1
24, 2
—
—
149
4-37
7,10
—
—
—
—
13, 2
26, 4
11, 2
—
151
2.3.25
—
—
13, 3
2, 7
19,
3
14, 3
27, 5
12, 1
—
157
4.3-I3
11, 6
—
—
7, 6
14,
4
—
—
—
23, 3
163
2.81
—
h 9
—
4, 7
25,
i
—
—
10, 3
16, 6
167
2.83
—
—
13, 1
—
—
—
—
—
—
173
4-43
i3. 2
179
2.89
—
9, 7
—
—
—
28,11
29, 5
2, 5
21, 5
I s-\ 4 O i*n
U
QUADRATIC PARTITIONS.
p
*-l
a b
c d
e
f
A B
L M
x y
X Y
t u
V w
181
4-9-5
9,10
—
—
13, 2
7,
5
19, 6
27,
1
—
25, 3
191
2.5.19
—
—
17,
7
—
—
14, 1
28,
2
4, 5
15, 7
193
64-3
7,12
11, 6
15,
4
1, 8
23,
3
—
—
9, 4
—
197
4-49
1,14
13, 2
—
199
2.9.11
—
—
19,
9
14, 1
Hi
5
18, 5
29,
3
—
20, 6
211
2-3-5-7
—
7, 9
—
8, 7
13,
5
16, 3
32,
6
6, 5
—
223
2-3-37
—
—
*5i
iL
28,
2
—
—
1, 9
227
2. 113
15, 1
229
4-3-19
i5> 2
—
—
n, 6
22,
4
27,10
3ii
3
5, 9
233
8.29
13, 8
i5, 2
19,
8
—
—
—
—
11, 4
—
239
2.7.17
—
—
17,
5
—
22, 7
31.
1
8, 5
—
241
16.3-5
15, 4
l 3, 6
21,
10; 7, 8
17,
5
3 1 , 12
33,
5
—
—
251
2.125
—
3, 11
—
—
—
16, 1
3 2 ,
2
—
27, 5
257
256
1,16
15, 4
17,
41 —
—
18, 8
263
2.131
—
—
19,
7 -
—
—
—
16, 1
269
4.67
i&io
—
—
1 —
—
17, 2
34,
4
—
30, 4
271
2.27.5
—
—
17,
3 14, 5
29,
3
26, 9
33,
T | '
—
"277
4-3- 2 3
9> J 4
—
—
*3i 6
26,
4
—
—
: 5, 6
—
281
8-5-7
5> l6
9,10
17,
2!
—
19, 4
37,
7|i3i 4
—
283
2-3-47
—
11, 9
—
|i6, 3
32,
2
—
—
—
—
293
4-73
17, 2
307
2.9.17
—
17, 3
—
8, 9
16,
6
—
—
—
—
311
2-5-31
—
—
19,
5
—
—
24,13
37,
5
—
12,10
313
8-3-13
13,12
5,i2
21,
an, 8
35,
1
—
—
—
19, 9
317
4-79
11,14
17, 2
27, 7
331
2-3-5-u
—
13, 9
—
16, 5
1,
7
24, 7
37,
3
18, 1
35, 3
337
16.3.7
9,16: 7,12
25,
I2JI'
5,
7
—
—
15, 4
347
2.173
— 3>i3
2, 7
—
349
4.3.29
5,i8 —
—
7,10
37,
1
23, 6
39,
5
—
—
353
32.11
17, 815, 8
19,
2
9,11
359
2.179
—
—
J 9,
I
—
—
22, 5
4i,
7
4, 7
—
367 ! 2.3.61
—
—
23,
9
2,11
35,
3
—
—
—
37, 3
373 j 4-3-3 1
7,18 -
—
19, 2
13,
7
—
—
n, 6
379 2.27.7
—
19, 3
—
4,11
29,
5
28, 9
39,
1
6, 7
25, 9
383 2. 191
—
—
25,
1 1
—
—
—
—
39, 1
389 4-97
17,10
—
—
—
37,M
4i,
5 *9i 2
15,11
397 4-9- 1 1
19, 6, —
—
17, 6
34,
4
—
—
—
2,12
401 16.25
1,20 3,14
23,
8
—
—
41,16
43,
7 17, 4
30, 8
409 8.3.17
3,2011,12
21,
4
19, 4
3i,
5
27, 8
4i,
3 "
—
419
2. 11. 19
-
9,i3
—
—
3 2 , 11
4ii
1
24,10
3<\ •b* Y7 *$
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
L M
x y
X
Y
t u
v w
421 I 4-3-5-7
15^4
—
—
11,10
19, 7
21, 2
42,
413, 6
10,12
431 2.5.43
—
—
23, 7
—
—
26, 7
43,
5i6, 5
—
433 16.27
17,12
19, 6
21, 2
1,12
2, 8
—
—
—
29, 9
439 2.3.73
—
—
21, 1
14, 9
28, 6
22, 3
44,
6
—
443 ! 2. 1 3. 1 7
—
21, 1
^—
—
—
—
—
10, 7
21,11
449
64.7
7,2021, 2
29,14
■ —
23, 4
46,
8
1, 8
39, 5
457
8.3.19
21, 413^2
23, 6
5."
10, 8
—
—
3, 8
—
461 4-5- 2 3
19,10 -
—
—
3MO
43,
1
—
—
463 2 3.7. 1 1
—
—
25, 9
IO,II
23, 7
—
—
20, 3
3*i 9
467 2.233
—
15, Ir
3, J 3
479 ! 2.239
—
—
23, 5
.
—
22, 1
44,
2
—
—
487 2.243
—
—
27,11
22, I
25, 7
—
—
12, 7
43, 3
491 2.5.49
—
21, 5
—
|
—
44,i7
47,
7
22, 1
—
499 2.3.83
—
7,i5
—
16, 9
3 2 , 6
48,19
49,
9
18, 5
40, 6
503 \ 2.251
—
—
29,13
—
—
—
—
—
509
4.127
5>22
—
—
—
23, 2
46,
4
—
45, 1
521
8-5-13
II,20
3>!6
23, 2
—
29, 8
47,
5
—
^^
523
2.9.29
19, 9
—
4,13
43, 3
—
—
—
—
541
4-27-5
21,10
—
—
23, 2
29, 7
39,H
47,
3
17, 6
—
547
2.3.7- *3
23, 3
—
20, 7
1, 9
—
22, 3
—
557
4-139
19,14
-
23, 2
—
563
2.281
I 5 > 1 3
569
8.71
13,20
21, 8
3M4
—
43, l6
49,
5
11, 8
—
571
2-3-5- I 9
11,15
—
8,13
31, 7
24, 1
48,
2
2, 9
—
577
64.9
1,24
17,12
33,i6
23, 4
11, 9
—
—
—
47. 3
587
2.293
3, J 7
48, 2
593
16.37
23, 8
9,16
25, 4
599
2.13.23
—
—
29,11
—
—
38,13
49,
1
16, 7
36,10
601
8-3-25
5,24
23, 6
27, 8
I3, 12
26, 8
51,20
53,
9
—
—
607
2.3. 101
—
—
25, 3
10,13
49, J
—
—
—
613
4.9.17
17,18
—
—
5, T 4
47, 3
—
19, 6
—
617
8.7. 11
19,16
15^4
25, 2
—
—
13, 8
42, 8
619
2.3.103
—
i3,i5
16,11
17, 9
32, 9
5i,
5
—
i,i5
631
2-9-5-7
—
—
27, 7
22, 7
43, 5
26, 3
52,
6
8, 9
7,i5
641
128.5
25, 4
21,10
29,10
-
31, 8
53,
7
23, 4
45, 7
643
2.3.107
—
25, 3
—
20, 9
40, 6
—
—
4i, 9
647
2. 17. 19
—
— •
35,i7
—
—
—
—
—
27,13
653
4.163
13,22
25, 2
5i, 1
659
2.7.47
9,!7
—
—
—
28, 5
56,
10
22, 5
—
661
4.3-5-n
25, 6
6 7
10
s 7
19,10
49, 3
51
29, 6
57,
11
I3,i5
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
L M
x y
X Y
t u
V w
673 32.3.7
23,12
5,i8
3M2
25, 4
37, 7
—
—
15, 8
—
677 U-I3-I3
1,26
—
—
683 2.11.31
—
21,11
— 26, 1
24,14
691 2.3.5.23
—
23, 9
—
4,i5
8,10
36,11
53, 3 ! —
17,15
701
4-25.7
5,26
—
—
41,14
53, 1 1,10
—
709
4-3-59
15,22
—
—
11,14
53, 1
27, 2
54, 4 3,io
i9>*5
719
2-359
—
—
3M*
—
—
58,23 59,11
Sh 5
727-
2. 3. 121
—
—
27, 1
22, 9
44, 6
—
53, 3
733
4.3.61
27, 2
—
25, 6
5°, 4
—
—
739
2.9.41
—
I7,i5
—
8,15
16,10
28, 3
56, 626, 3
—
743
2.7.53
—
—
29, 7
—
—
—
— 20, 7
—
751
2.3.125
—
—
33,i3
26, 5
41, 7
34, 9
57, 7 2 4, 5
23,15
757
4.27.7
9,26 -
—
i3,H
29, 9
—
— 27, 2
38,12
761
8.5.19
19,2027, 4
31,10
—
—
29, 4
58, 8 —
—
769
256.3
25,1211,18
29, 6
1,16
49, 5
33, 8
59, 9 —
773
4.193
17,22 —
—
—
—
—
[■
54< 4
787
2-3-I3 1
— 25, 9
—
28, 1
3 1 , 9
—
— —
. —
797
4.199
11,26 —
—
—
—
—
— , —
3,i7
809
8.101
5,28 3,20
29, 4 -
—
53,2o 59, 7 19, 8
—
811
2.81.5
— |!9,i5
- 28, 3
56, 2
44,i5 57, 1 ~
—
821
4-5-41
25,i4 ! —
— —
—
29, 2 58, 411,10
—
823
2.3-I37
— i —
29, 326, 7
5,ii
- 16, 9
49, 9
827
2.7.59
— 27, 7
1
— — 22, 7
—
829
4.9.23
27,10 —
— ! 2 3, 10
7,n
57,22 61, 9 —
29,15
839
2.419
— : - —
29, 1 —
—
38,11 59, 5 —
45, "
853
4.3.71
23,l8 —
— 29, 2
35, 9
— i — ^ —
857
8.107
29, 427, 8
37,!6 —
859
2.3.11.13
—
29, 3
— 28, 5
i3,n
48,17 59, 3 —
3],i5
863
2.431
—
—
31, 7 —
—
— 1 4,ii
36,14
877
4.3.73
29, 6
—
— 17,14
59, 1
— 25, 6
881
16.5. n
25,16
9,20
41,20 —
—
31, 4 62, 8 —
57 5
883
2.9.49
1,21
— i 4,i7
47, 7
- | 6,11
56, 6
887
2-443
—
35,i3 —
—
—
—
—
907
2.3.151
—
5,21
— 120,13
19,11
—
—
30, I
8,18
911
2.5.7-13
—
—
31, 5 —
—
34, 7 67,13 8,11
60, 2
919
2.27.17
—
—
37,1526, 9
52, 6
42,13 61, 324, 7
—
929
32.29
23,20 27,10
31, 4 —
—
47,16 61, ij —
30,16
937
8.9.13
19,2417,18
35, I2 i3, I 6
61, 1
— — —
—
941
4-5 47
29,10 -
—
—
—
31, 2 62, 4
—
947
2.11.43
~~
i5,!9
—
10,11
57, 7
QUADRATIC PARTITIONS.
p
H
abed
e f A B
L M
x 7
X Y
t u
v w
953
8.7.17
13,2821,16
3 1 , 2
—
—
—
29, 4
—
967
2.3.7.23
— —
43,2i
10,17
4i, 9
—
— 20, 9
—
971
2.5-97
— 27,11
—
—
—
64,25
67,111
45,*3
9771 16.61
3*i 4 3^2
37,M
—
—
—
—
23. 8
27,17
983
2.491
— —
35, 11
"~"
—
—
—
—
5 1 , 11
991
2.9.5.1 1
33, 7
22,13
61, 3
46,15
63, 112,11
20,18
997| 4-3-83
3Ji 6 —
—
5,i8
10,12
—
. — ! —
—
1009 16.9.7
15,2819,18
39,i6
3 T , 4
43, 9
33, 4
66, 8 1,13
—
1013
4.11.23
23,22 —
9.19
1019
2.509
— 21,17
—
—
32, 1
64, 2 26, 7
—
102l' 4-3-5 J 7
™*3° —
—
7,18
14,12
39,1°
67, 9
— 50,12
1031 2.5.103
— —
37,i3
■ —
—
34, 5
68,10
32, 1 —
1 033 8.3.43
*3»|3*» 6
41,18
29, 8
53, 7
—
—
5, 12 : —
1039 ! 2.3.173
—
—
33, 5
26,1 1
59, 5
38, 9
69.11
41,15
1049 8.131
5.32
9,22
43,2o
—
37, 8
7i,i3
—
^^9
1 051 2325.7
—
13,21
—
32, 3
64, 2
36, 7
72,14
22, 9
1061 4-5-53
31,10
—
—
—
—
59,22
67, 7
i9, IQ 63, 5
1 063 2.9.59
—
—
35, 9
14,17
65, 1
—
—
—
—
1 069 4-3-89
13,30
—
—
3 1 , 6
62, 4
33, 2
66, 4
—
—
1087 2.3.181
—
—
33, 1
2,19
55< 7
—
—
32, 3 28,18
1091 2.5.109
— 133, 1
—
—
—
44,i3
67, 5
1093: 4- 3- 7- 1 3
33, 2
—
11,18
22,12
—
—
29. 6 59, 9
1097
8.137
29,16
33, 2
35^ 8
1103
2.19.29
—
—
41,17
—
—
—
—
16,11
21,19
1109
4.277
25,22
—
—
—
67,26
71,11
— •
6,20
1117
4-9-3 1
21,26
—
23,1-4
65, 3
—
—
33, 2
—
1123
2.3.11.17
—
3 1 , 9
—
16,17
35,ii
—
—
64, 6
1129
8-3-47
27,20
29,12
39,M
19,16
67, 1
43. J 2
69, 7
11,12
—
1151
2.25.23
—
—
47,23
-
—
34, 1
68, 2
—
1153
128.9
33, 8 1,24
35, 6
3i, 8
7,i3
—
—
61, 9
1163
2.7.83
—
21,19
—
34, 1
—
1171
2.9-5-13
—
17,21
—
32, 7
11,13
36, 5
72,10
18,11
47,i5
1181
4-5-59
5,34
—
—
—
—
41,10
73,ii
—
18,20
1187
2-593
—
33, 7
,,
2,13
—
1193
8.149
*3,3 2
15,22
35, 4
69, 1
1201
16.3.25
25.24
7,24
43, 1 8
1,20
59, 7
39, 8
77,i5
33, 4
—
1213
4.3.101
27,22
—
—
25,14
17,13
—
—
3 1 , 6
1,31
1217
64.19
3 J ,i6
33, 8
35, 2
1223 2.13.47
—
— ,
35, 1
—
—
—
—
—
— -
1229
4.307
35, 2
—
—
—
—
47,U
7i, 5
23,10
QUADRATIC PARTITIONS.
V
p-1
a b
c d
f A B L M
X Y t u
1231
1237
1249
1259
1277
1279
1283
1 289
1291
1297
1301
1303
1307
1319
1321
1327
1361
1367
1373
1381
1399
1409
2.3.5.41
4-3- io 3
32.3- J 3
2.17.37
4.11.29
2.9.71
2.641
8.7.23
2-3-5-43
16.81
4-25-13
2-3-7-31
2.653
2.659
8.3.5.H
2.3.13.17
16.5-17
2.683
4-343
4.3.5-23
2.3.233
128.11
.423 ( 2.9.79
1 427 2.23.31
I4294.3.7.17
1433
1439
8.179
2.719
1 447| 2.3.241
1 451; 2.25.29
1 453: 4.3. 121
1459
1471
1481
1483
9,34 —
3,25
15,32
n,34
4i,i534, 5
— 35, 2
49,24 7,20
39,u
15,23
33, 10
29,!5
35, 6
27,17
13,24
3,26
35, 8
1,36
25,26
5,36
31,20
37, 2
i5,34
25,28 21,22
— '33,i3
41,14
— 28,13
37, 623,16
4,i9
45,!9
37, 5
39,io
47,21
37, 2
37, 1
34, 7
2.729
2.3.5-49
8-5-37
2.3.13.19
43,i5
47,2o
39, 7
23,3°
37, 8
3,38
9,26
27,19
1,27
1487 2.743
1489 16.3.31
1493
1499
1511
4-373
2.7.107
2-5- I 5 I
1523 2.761
35,1633,14
— j 5,27
33,2029,18
7,38 -
— 21,23
— 39, *
49,22
41,11
45,!7
39, 5
41,10
47,i9
39,
43, 1 3
11,20
2,21
19,13
41,11
53, 9
66,25
57,2o
5217
43,n 78,31
— 37, 4
67, 5 36, 1
25, J 3 —
— I 61,22
55, 9 —
73, 9 -
7i, 3 —
7i, 1 -
7i, 3
4,i4
37, 2
34, 9
10,21
29,!4;
38, 5
4f. 8
79,i5
— 10,13
91,2529, 8
72, 2 —
— 17,12
73* 5
36, 1
76,10
73, 3
82,16
3i,i3
68, 6
20, i<
7*i 5
38, 1
1,22!
28,15!
38, 3
20,19
17,20
35, J 3
67, 7
56,10
76, 2
37,i3
77, 1
69,26
38, 3
73,28
12,13!
32, 7
1,14
3,H
77, 9
76, 6
79, II 3 I > 8|
24,11
58,12
69, 5
57,i3
65, 9
40,18
45, J 7
19,21
72, 2
53,i5
12,22
39, 1 9
75, 1
29,21
77,3o
38, 1
64,23
48,13
54,i7
59,2o
47,12
68,25
46,11
81,1327,10
76, 2 16,13
77, 5 38, 1
— 9, T 4
79, 9 — !
77, 3 36, 5
77, 137, 4
54,i6
60,14
3 1 , 2
81,11
79, 7
83,13
— 7i, 9
11,14
34, 7:
26,11;
59,i5
45,!9
15,23
69,11
QUADRATIC PARTITIONS.
V
P -l
a b
c d
e f
A B
L M
x 7
X Y
t u
V w
1531
2.9.5.17
—
37, 9
32,13
7,i5
44, 9
87,i7
—
. —
1543
2.3.257
—
5M3
26,17
77, 3
—
—
—
76, 6
1549
4-9-43
35.i8
"
31.14
11,15
63,22
79, 3 3 l .
61,15
1553
16.97
23.32
39. 4
41, 8
1559
2. 19.41
—
—
53.25
—
—
58,19
79, 1
—
—
1567
2.27.29
—
—
55.27
22,19
79, 1
—
—
—
52,18
1571
2.5-I57
—
39. 5
—
—
76,29
83,"
—
72,10
1 579| 2.3.263
—
11,27
16,21
32,14
52,15
81, 7
2.15
—
1583 2.7.113
—
—
41, 7
. T—
—
—
—
20,13
—
1597 1 4-3-7-19
21,34
—
—
25,18
5°, 1 2
—
—
15.14
—
1601 64.25
1,40
33.i6
49.20
—
—
4i, 4
82, 8
—
—
1607| 2.11.73
—
—
43. «
—
—
—
40, 1
57,i7
1 609| 8.3.67
3.4o
31.18
41, 6
29,l6
i9,i5
67,24
81, 5
—
10,24
1613 '4.13-31
13.38
1 619 2.809
39. 7
—
88,35
89,17
38, 5
—
1621 1 4.81.5
39.io
—
13,22
79, 3
Si»i4
^3, 9
37, 6
70,12
1627 2.3.271
. —
13.27
—
40, 3
80, 2
—
—
—
—
1 637 4.409
31,26
—
27.23
1657 8.9.23
19.36
37. 12
53.24
35.J2
7o, 8
—
—
1663 2.3.277
—
4i, 3
34,i3
73. 7
—
40, 3
—
1667 2.49.17
—
33.17
22,13
—
1669 4-3-139
15.38
—
—
37,io
67, 9
43. 6
86,12
—
—
1 693 4-9-47
37,i8
—
—
41, 2
47,13
—
—
—
—
1697 32.53
4i, 4
27,22
47,16
-
78, 8
1699 2.3.283
—
4i, 3
—
32,15
64,10
48,11
89.15
—
80, 6
1709.4-7-6i
35.22
—
—
47,10
9i>i7
41, 2
81, 5
1 721 8.5.43
11,40
39.!°
43. 8
—
61,20
83. 1
—
3,25
1 723 2.3.7 41
—
29,21
—
20,21
40,14
—
—
34, 9
—
1 733 4-433
17,38
-
19.14
—
1 741 4-3-5- 2 9
29,30
—
17,22
49.13
79.3o
87,11
—
67,15
1 747 2.9.97
17,27
—
40, 7
61,11
—
—
3°. JI
^3, 3
1 753 8.3.73
27.32
41, 6
49,18
5.24
10,16
—
—
—
26,24
1 759 2.3.293
—
—
47.15
26,19
3i.i5
42, 1
84, 2
24,13
—
1 777 16.3.37
39.!6
25.24
43. 6
7,24
14,16
—
—
—
—
1783 2.81. 11
—
—
45.li
14,23
83, 3
79, 9
1 787 2.19.47
—
27.23
—
—
-
-
—
38, 7
63.17
1789 4.3.149
5.42
—
—
41, 6
82, 4
87.34
9i.i5
33.io
—
1801 8.9.25
35.24
i,3°
51,20
37,i2
74, 8
91.36
93.17
3.!6
—
1811 2.5.181
1 — •
33.19
—
—
—
44, 5
88,10
—
—
1823
2.911
—
49.17
—
—
—
—
~~
~~
QUADRATIC PARTITIONS.
p
p-\
a b
c d
e f
A B
L M
x J
X Y
t n v w
1831
2.3.5.61
—
—
43, 3^34,15
68,10
74,27 87, 7
16,15 85, 3
1847
2.13.71
—
—
43, 1
—
—
— i —
— , —
1861
4-3-5-3I
3^30
—
—
43, 2
37,i5
59,i8 87, 5
— 1 —
1867
2.3.311
—
43, 3
—
28,19
85, 3
—
—
— i —
1871
2.5.11.17
—
—
47,i3
—
—
46, 7
92,14
32,n 75,13
1873
16.9.13
33,28
35>i8
55,24
41, 8
65,11
—
—
9,16 34,24
1877
4.7.67
41,14
43, 2 —
1879
2-3-3 r 3
—
—
5M9
2,25
73, 9
78,29 89, 9
— 7i,i5
1889
32.59
17,40
33,20
49,i6
—
—
47, 8 94,16
— —
1901
4.25.19
35,26
—
—
—
—
49,10 97,19
23,14 27,25
1907
2-953
—
15,29
— 48,22
1913
8.239
43, 8
39,i4
59,28
—
—
—
—
11,16 —
1931
2.5.193
—
3,3 X
—
—
—
44, 1 88, 2
1
1933
4.3-7-23
13,42
—
—
31,18
62,12
— ! —
4i, 6 —
1949
4.487
43,io
—
—
—
—
73,26: 89, 5
1
1951
2.3-25. J 3
—
49,i5
38,13
M7
86,33 93,i3
—
73,i5
1973
4.17.29
23,38
— ! —
81,11
1979
2.23.43
—
27,25
—
—
—
68,23 89, 1
—
—
1987
2-3-33 1
—
23,27
—
20,23
89, 1
—
—
— —
1993
8.3.83
43,12
29,24
45, 4
35,J6
13,17
—
—
—
—
1997
4.499
29,34
25,14
—
1999
2.27.37
—
—
57,25
26,- 2 1
52,14
98,39
99,i9
44, 3
—
2 003
2.7. 11. 13
—
9,3i
34,u
24,26
2 011
2-3-5-67
—
43, 9
—
44, 5
59,i3
56,15
93, JI
38, 9
5,27
2 017
32.9-7
9,44
37,i8
45, 2
17,24
34,i6
—
—
15,16
7,27
2 027
2.1013
—
45, 1
2,17
87, 7
2 029
4.3.13-13
45, 2
—
—
1,26
77, 9
47, 6
94,12
—
85, 9
2 039 2.1019
—
—
61,29
—
—
62,19
91, 5
4,i7
84,10
2 053
4.27.19
17,42
—
—
5,26
83, 7
—
—
45, 2
—
2 063
2.1031
—
—
49,i3
—
—
—
—
—
—
2 069
4.11.47
25,38
—
—
—
—
67,22
91, 1
37,io
9°, 4
2 081
32.5.13
41,20
27,26
47, 8
—
—
49, 8
98,16 17,16
—
2 083
2-3-347
—
25, 2 7
—
44, 7
23,17
—
—
3°, 1 3
59,2i
2 087
2.7.149
—
—
53,19
—
—
—
—
8,17
—
2 089
8.9.29
45, 8
i7,3o
5M6
19,24
38,16
53,i2
99,i7
—
—
2 099
2.1049
—
39,17
—
—
—
52,11
101,19 •
39,25
2 111
2.5.211
—
—
47, 7
—
—
46, 1
92, 244, 5
—
2113
64.3. 1 1
33,32
3!,24
49,12
41,12
82, 8
—
— —
46,24
2 129
16.7.19
23,40
9,32
59,26
—
—
47, 4
94, 841, 8
—
2131
2-3-5-7I
—
41,15
—
16,25
9i, 3
76,27
93, 5
—
—
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
L M
x 7
X Yj t a
V w
2 137
8.3.89
29,3643^2
47, 6
37,i6
85, 7
—
—
45, 4
23,27
2141
4.5.107
5,46
—
—
—
—
89,34
97,i3
—
—
2143
2.9.7.17
—
55,2i
46, 3
92, 2
—
—
36,n
61,21
2 153
8.269
37,28
45, 8
61,28
—
—
—
19,16
—
2 161
16.27.5
15,44
!9,30
53,i8
31,20
29,17
71,24
93, 1,
25,27
2179
2.9.121
—
!,33
—
44, 9
88, 6
48, 5
96,1046, 3
79,15
2 203
2.3.367
—
5*33
—
4,27
8,18
—
—
—
89, 9
2 207
2 1103
—
—
47, 1
—
—
—
—
32,13
—
2213
4-7-79
47, 2
29,14
—
2 221
4.3-5-37
45»M
—
47, 2
53,i5
49, 6
98,12
39,io
2 237
4.I3.43
11,46
47, 2
18,28
2 239
2.3.373
—
—
49, 9
34,i9
9i. 5
58,15
99,i3
—
: —
2 243
2.19.59
—
39i9
■ —
—
—
—
—
—
; —
2 251
2.9.125
—
37,2i
—
8,27
16,18
84, 3 r
97, 9 2(
—
2 267
2. 11. 103
—
45, IT
: 57,23
2 269
4.81.7
37,3o
—
—
41,14
83, 9 57,i4
101,15 J , 18
65,21
2 273
32.71
47, 8
15,32
49, 8
— —
— !
2 281
8.3.5.19
45, 16
47, 6
57,22
43,!2
86, 8 51, 8
I02,l6 —
95, 3
2 287 2.9.127
■ — ■
—
63,29
10,27
20,l8j —
i
— -
2 293 4-3- J 9i
23,42
—
—
29,22
37,i7
5,18
91, 9
2 297
8.7.41
19,44
27,28
53,16
—
—
—
— 43, 8
93, 7
2 309
4-577
47,10
—
—
—
—
53,io
106,20 —
2 311
2.3.5. 7.11
—
—
67,33
38,17
89, 7
54,n
107,2148, 1
35,27
2 333
4-II-53
43,2 2
—
—
—
—
—
— 3i,i4
9,29
2 339
2.7.167
—
33,25
—
—
—
92,35
101,1334,13
— ■
2 341 ! 4.9.5-I3
15,46
—
—
37,18
74,12
69,22
97, 3
—
83,15
2 347 2.3.17.23
—
13,33
—
32,21
64,14
—
18,17
37,27
2 351 2.25.47
—
—
49, 5
—
—
74,2 5
97, 1
—
—
2 357| 4.19-31
41,26
—
—
87,13
2 371 2.3.5.79
—
47, 9
—
28,23
4i,i7
96,37
103,15
—
—
2377 J8.27.11
21,44
35,24
55,i8
5,28
79, 11
—
37,i2
97, 3
2 381; 4-5.7.17
35,34
—
—
—
—
49, 2
98, 4
41,10
30,28
2 383 2.3.397
—
—
49, 3
14,27
28,18
—
—
• —
—
2 389 4.3. i99
25,42
—
—
19,26
59,i5
83,30
99, 7
11,18
—
2 393
8.13.23
37,32
9,34
49, 2
—
—
—
—
— •
—
2 399
2. 11. 109
—
—
49, 1
—
—
62,17
101,11
—
75,19
2 411
2.5.241
—
27,29
—
—
—
104,41
107,19
—
• — -
2 417
16.151
49, 4
45, J 4
53,H
—
—
—
—
25,16
—
2 423
2.7.173
—
—
59,23
—
—
—
—
20,17
21,29
2 437
4.3.7.29
49, 6
43, 1 4
c
1,19
13,18
10
QUADRATIC PARTITIONS.
V
P -l
a b
c d
e f
A B
L M x y
X Y
t u
v w
2 441
8.5.61
29,40
33.26
67,32 -
—
61,16
103,13
— —
2 447
2.1223
—
—
55,i7
—
—
—
40,11 63,23
2 459
2.1229
—
3.35
—
—
52, 7
104,14
46, 7 —
2 467
2.9.137
—
17.33
40,17
11,19
—
—
— 43,27
2 473
8.3.103
13^8
49, 6
51, 8
11,28
73,i3
—
—
45, 8 71,21
2 477
4.619
19,46
-
2 503
2.9.139
—
—
5i. 7
5°, 1
47,i7
—
—
44, 9
2 521
8.9-5-7
35 5 36
37.24
53. 1 2
13,28
97, 5
51, 4
102, 8
27,16
2 531
2.5-11-23
—
9,35
—
—
—
56,11
112,22
2,19 57,25
2 539
2.27.47
—
i9,33
—
4,29
83,11
72,23
101, 3
— 16,30
2 543
2. 31. 41
—
—
65.29
—
—
—
—
4,i9 —
2 549
4.49.13
7,5°
—
—
—
—
77,2.6
IOI, I
43.1° —
2 551
2.3.25.17
—
—
5i, 5
26,25
49,i7
66,19
103, 9
— 1 —
2 557
4-9-7 1
21,46
—
—
23,26
101, 1
—
—
17.18 47.27
2 579
2.1289
39,23
—
—
—
52, 5
104,10
— 96,10
2 591
2.5-7-37
—
7i,35
—
—
86,31
103. 7
8,19 —
2 593
32.81
17,48
1,36
5i, 2
49, 8 25,19
—
— | —
2 609
16.163
47,20
51, 2
53,1°
— 1 1 103,40
109,17
—
2 617
8.3.109
5 1 * 4
5,36
63,26
43,i6
91, 9, —
—
• —
—
2 621
4-5 131
ii,5°
—
—
—
— 71,22
103. 5
—
78,20
-2 633
8.7.47
43,28
5 1 , 4
55,H
—
— —
—
29,16
81,19
2 647
2.27.49
—
—
53, 9
5°. 7
29,19 —
—
48, 7
—
2 657
32.83
49,16
33,28
65,28
—
1
i
—
47, 8
—
2 659
2-3-443
—
47,i5
—
28,25
i°3, 1 52, 3^04, 6
—
—
2 663
2.121.1 1
—
—
61,23
—
_ — —
—
9,3i
2 671
2.3.5.89
—
—
57.17
22,27 44,i8 54, 7108,14
12,19
28,30
2 677
4.3.223
39.34
—
—
35,22 31,19
—
—
—
i°3, 3
2 683
2.9.149
—
35,27
—
40,19 97, 7
—
—
46, 9
—
2 687
2.17.79
—
—
55,i3
—
—
—
—
—
87,17
2 689
128.3.7
33.4°
49,12
67,30
31,24
62,16
63,16109,15
41,12
9i,i5
2 693
4.673
47,22
—
39,29
2 699
2. 19.71
—
5i, 7
—
—
—
52, 1 i5!,49
26,17 i5.3i
2 707
2.3.11.41
—
23.33
—
52, 1
55,i7
— —
—
53,27
2 711
2.5.271
—
—
53, 7
—
—
94,35107,11
52, 1
63,25
2 713
8.3.113
3.5 2
11,36
69,32
19,28103, 3
—
5*. 4
—
2 719
2.9.151
—
—
63,25
14,29101, 5
62,15111,17
—
—
2 729
8.11.31
5.52
5i„ 8
7i,34
— 1 —
53, 4106, 8
—
90,16
2 731
2.3-5-7-I3
—
43,2i
—
52, 3 IQ 4, 2
56, 9112,18
34,i5
32,30
2 741
4.5.I37
25,46
—
—
— 1 —
61,14113,19
37,H
—
2 749
4.3.229
43.3o
—
—
7,3o
14,20
57.io
114,20
—
—
QUADRATIC PARTITIONS.
11
p
p-l
able d
e f
A B L M
x y X Y
t u
v w
2 753
64-43
7,52,21,34
61,22
—
;
,
31,16! 21,31
2 767
2.3.461
65,27
38,21
76,14
—
—
52, 3|
2 777
8.347
29,4427,32
53, 4
102, 8
2 789
4.17-41
i7,5o "
—
—
53, 2 106, 4
—
—
2 791
2-9-5-3 1
—
—
53, 3
46,15
92,IO
54, 5108,10
■ —
—
2 797
4-3- 2 33
3M4
—
—
47, J 4
89,11
— —
23,18
98,12
2 801
16.25.7
49,20
5 1 , 10
53, 2
—
89,32 107, 7
1,20
—
2 803
2.3.467
—
25,33
—
44,i7
95, 9
— —
—
104, 6
2 819
2.1409
—
9,37
—
—
—
68,19 109,11
—
45,29
2 833
l6 -3-59
23,48
41,24
59,i8
49,12
98, 8
—
—
—
—
2 837
4.709
4i,34
—
—
—
—
—
—
53, 2
—
2 843
2.49.29
—
5 1 , 11
50, 7
96,14
2 851
2.3.25.19
—
49, 1 5
—
52, 7
73,i5
84,29
107, 3
18,19
—
2 857
8.3.7.17
51,1647,18
57,U
53, 4
41,19
—
—
43, 1 2
—
2 861
4.5. n. 13
i&59
—
—
—
—
79,26
107, 1
—
75,23
2 879
2.1439
—
—
73,35
—
—
118,47
119,23
52, 5
—
2 887
2 -3- I 3-37
—
—
75,37
2,3!
91,11
—
—
—
107, 3
2 897! 16.181
3 J ,44
3,38
55, 8
18,32
2 903! 2. 145 1
• —
—
59,i7
2 909 4.727
53,io
—
—
—
73,22
109, 7
47,10
69,25
2 917 4.729
i,54
—
—
53, 6
106, 4
—
—
—
—
2927! 2.7.11.19
—
—
55, 7
—
—
—
—
20,19
108, 2
2939:2.13.113
—
5M3
—
~-
88,31
io 9, 5
_.._
—
2 953 8.9.41
53,i2
!9,3 6
55, 6
35,24
70,16
—
74,24
2 957
4-739
29,46
—
—
—
—
—
— .
—
93,i7
2 963
2.1481
—
15,37
46,11
5!, 2 9
2 969
8.7-53
37,4o
9,38
59,!6
—
—
83,28
109, 1
13,20
—
2 971
2. 27. 5. 11
—
53, 9
—
28,27
56,18
64,15
117,19
—
97,15
2 999
2.1499
—
—
61,19
—
62,13
121,23
—
—
3 001
8.3.125
51,20
43, 2 4
63,22
53, 8
77,i5
61,12
122,24
—
5,33
3 011
2.5-7-43
—
33,3i
—
—
—
56, 5
112,10
22,19
—
3 019
2.3-5°3
—
29,33
—
44,i9
13,21
92,33
in, 7
38,15
85,21
3 023
2.1511
—
—
55, 1
—
—
—
—
—
39,3i
3 037
4.3.11.23
n,54
—
—
55, 2
49,!9
—
—
—
i3,33
3 041 32.5.19
55, 427,34
77,38
—
—
71,20
113,11
—
30,32
3 049 8.3.127
45,3249,18
57,io
43,20
17,21
77,24
in, 55 1 , 8
—
3 061 4.9.5-17
55, 6
• —
—
19,30
38,20
109,42
H7,i753, 6
65,27
3 067 2.3.7.73
5,39
—
52,11
19,21
■ —
— !5°, 9
i7,33
3 079l2.8i.ig
—
—
69,29
i4,3 J
79,i5
82,27
111, 1
—
—
3 083
2.23.67
—
45,23
—
— '
—
—
—
—
in, 1
12
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
| L M
x y
X Y
t u i V w
3 089 16.193
55, 8
39,28
59,M
— ii3,44|H9,i9 J 7,2o 105,11
3 109 43-7.37
47,3°
—
53,io
23,21 117,46121,21 29,18
3119 2.1559
—
—
! 7i,3i
—
— 58, 7
116,1444,13
3 121 16.3.5.13
39,4o
23,36
57, 8
7,32
89,13121,48
123,23
"
3 137 64.49
1,56
33,32
67,26
—
—
; —
—
55, 4 —
3163 2. 3.17. 31
—
u,39
56, 3
112, 2
—
—
— —
3 167 2.1583
—
—
65,23
—
—
—
—
1
3 169 32.9. 1 1
55,i2
37,3o
63,20
49,16
97,ii
57, 4
114, 8
— 101,15
3181 4.3.5-53
45,34
—
47,18
94,12
81,26
113, 3
3 187 2.27 59
—
55, 9
—
40,23
29,21
—
—
10,21 —
3 191 2. 5. 11. 29
—
—
77,37
—
—
86,29
113, 1
— 108,10
3 203 2.1601
—
39,29
— 26,19
3 209 .8.401
53,2o
3,4o
61,16
—
—
67,16
121,19 — —
3 217 16.3.67
9,56
25,36
57, 4
55, 8
3 J ,2I
—
— 47,12113, 3
3 221 4.57.23
55,M
—
—
—
61,10
122,2043,14105,13
3 229 4.3-269
27,50
—
—
23,30
46,20
57, 2
161,5131,18 —
3 251 2. 125. 13
— ■
57, 1
—
—
64,13
127,25 — . —
3 253 4.3-271
57, 2
—
—
35,26
«3> 3
!
3 257 8. 1 1 37
11,56
57, 2
65,22
—
'
! — i53, 8 42,32
3 259 2.9.181
—
53,i5
—
44,2i
88,14
108,41 119,1554, 7 56,30
3 271 2.3.5.109
—
—
61,15
2,33
4,22
74,21 117,1152, 9103,15
3 299 2.17.97
—
57, 5
—
—
—
112,431121,1746,13
• —
3 301 4.3.25-11
49,3o
—
—
43,22
109, 7
59, 6118,12
51,10
35,33
3 3071 2.3.19.29
—
43,27
—
28,29
59**9
—
—
—
—
3 313 16.9.23
57, 8
55,i2
75,34
31,28
"5, *
—
—
39,i6
—
3 3191 2.3.7.79
—
—
59, 9
38,25
37,2i
58, 3 116, 6
36,17
—
3 323 2. 1 1. 15 1
—
5i,i9
—
—
—
—
24,34
3 329 256.13
25,52
21,38
61,14
—
73,20119,13
23,20
—
3 331J 2.9.5.37
—
J 7,39
—
8,33
16,22
n6,45
123,19
—
115, 3
3 343 2.3.557
—
—
65,21
34,2 7
68,18
—
—
16,21
—
3 347
2.7.239
—
57, 7
—
5o,n
87,23
3 359
2.23.73
—
71,29
—
58, 1
116, 2
—
81,25
3 361
32.3.5-7
15,56
47,24
81,40
17,32
113, 5
79,24
117, 7
57, 4
—
3 371
2.5-337
—
3,4i
—
—
124,49
127,23
58, 1
3,35
3 373
4.3.281
3,58
—
—
49,18
98,12
—
—
—
—
3389:4.7.121
5,58
—
—
—
—
103,38
119,11
1,22
9,35
3 391 2.3.5. 1 13
— '
—
63,1758, 3 I][ 6, 2
94,33
117, 5
—
100,18
3 407
2.13.131
— |
—
73,3i
— .
3 413
4.853
7,58
—
—
—
—
---
—
5,22
111,11
3 433
8.3.11.13 |
27,52
29,36
61,12
19,32
77,i7
—
~~
—
86,24
QUADRATIC PARTITIONS.
13
p
p-\
a b
c d
e f
A B
L M
x y
X Y
t u
v w
3 449
8.431
43,4057,1°
59, 4 - j —
107,40
121,13
—
—
3 457
128.27
39,4453,18
63,i655, I2 no, 8
—
—
—
43,33
3 461
4-5-173
3!,5° —
— —
—
59, 2
118, 4 -
—
3 463
2-3-577
— j —
59, 3M,33
28,22
—
— —
116, 6
3 467
2.1733
J27,37
—
—
—
—
38,17
—
3 469
4.3.17.17
45,38 —
—
i,34
103,11
63,10
126,20 9,22
95,2i
3 491
2-5-349
— |57i"
—
— —
64,11
128,22 —
117, 5
3 499
2.3-II-53
— 159, 3
— 5 6 ,ii| 89,15
68,15
129,23 -
64,30
3 511
2 27.5.13
— 1 —
69,2558, 7! 79,!7
66,13
132,26
44,15
—
3 517
4.3-293
59, 6 -
— 7,34109, 9
—
—
—
—
3 527
2.41.43
—
—
83,41 —
—
—
—
—
—
3 529
8.9.49
35,48 1,42
73,3059, 4
47,21
93,32
119, 3
27,20
"Sj 9
3 533
4.883
13,58 -
—
—
3 539
2.29.61
— 33,35
—
—
—
88,29
119, 1
58, 5
—
3 541
4.3-5-59
25,54 —
-»-
29,30
58,20
61, 6
122,12
—
—
3 547
2.9.197
— 37,33
—
32,29
119, 1
—
—
—
47,33
3 557
4.7.127
49,34 —
13,22
117, 7
3 559
2.3.593
— i —
61, 9
26,31
67,19
102,37
121, 9
—
—
3 571
2.3-5.7-17
23,39
—
52,17
T,23
76,21
123,13
22,21
—
3 581
4-5-179
59,io —
—
—
119,46
127,19
47,H
—
3 583
2.9.199
—
71,27
50^9 7,23
—
—
—
—
3 593
8.449
53,2845,28
61, 8
— —
—
—
59, 4
3 607
2.3.601
— —
67,21
58, 9, Il6 » 6
—
—
60, 1
3 613
4.3-7-43
43,42 —
—
55,14 13,23
—
—
15*22
14,36
3 617
32.113
41,4427,38
77,34
93,23
3 623
2.1811
—
—
61, 7
—
—
—
40,17
84,26
3 631
2.7, 5.I2I
—
—
63,13
38,27
76,18
106,39
123,11
—
68,30
3 637
4.9.IOI
39,46
—
—
13,34
115, 7
—
—
37,i8
—
3 643
2.3.607
—
59, 9
—
56,13
17,23
—
—
—
—
3 659
2.3I.59
—
51,23
—
—
—
92,31
121, 1
—
—
3 671
2.5-367
—
—
61, 5
—
—
74,i9
127,17
—
—
3 673
8.27.I7
37,48
55,i8
81,38
59, 8
83,i7
—
—
— , —
3 677
4.919
59,M
—
—
—
—
—
—
17,22 78,28
3 691
2.9.5.4I
—
53,2i
—
4,35
101,13
64, 9
128,18
46,15 —
3 697
16.3.7. 11
49,36
13,42
85,42
25,32
7M9
—
—
57, 8 53,33
3 701
4-25-37
55,26
—
—
—
—
61, 2 122, 4
—
102,20
3 709
4.9.IO3
53,3o
—
—
41,26119, 5
73,18129,19
—
—
3 719
2.II.I3.I3
—
—
61, 1
—
—
62, 5^24,10
4,23
75,29
3 727
2.81.23
—
—
63,11
58,n
25,23
—
—
—
83,27
3 733
4.3.3II
57,22
—
—
61, 2
55,2i
—
—
59, 6
26,36
14
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M 1 x yjX Y, t uj
1 J 1
v w
3 739
2.3.7.89
—
61, 3
—
8,35
113, 9
72,17131,21 6,23
—
3 761
16.5.47
25,56
57,i6
73,28
—
—
71,16133,2331,20
—
3 767
2.7.269
—
—
67,19
—
—
—
—
8,23
3,37
3 769
8.3.157
13,60
59,i2
63,10
61, 4
73,19
67,12;
134,24
— 1
—
3 779
2.1889
—
9,43
—
—
—
68,13'
136,26
- !
—
3 793
16.3.79
33,5 2
61, 6
69,22
55, 16
103,13
—
—
—
94,24
3 797
4-13-73
41,46
3 803
2.1901
—
21,41
—
—
—
—
—
10,23 s
—
3 821
4.5.191
61,10
—
—
—
—
79,22
127,13
—
15,37
3 823
23-49-I3
—
—
8i,37
50,21
100,14
—
—
36,19
—
3 833
8.479
53,32
39,34
65,14
—
—
—
61, 4
69,31
3 847
2.3.641
—
—
83,39
62, 1
59,2i
—
12,23
—
3 851
2. 25.7. 11
—
51,25
—
—
—
64, 7
128,14
62, 1
123, 5
3 853
4.9.107
3,62
—
—
49,22
115, 9
—
—
34,36
3 863
2.1931
—
—
85,41
—
3 877
4.3.17. 19
31,54
—
—
43,26
35,23
—
—
1 1 8, 1 2
3 881
8.5-97
59,2o
3,44
77,32
— •
—
109,40
127,11
—
93,25
3 889
16.243
17,60
19,42
71,24
1,36
2,24
63, 4
126, 8
33,2o
—
3 907
2.9.7.31
—
55,2i
—
32,31
61,21
—
62, 3
—
3 911
2.5.17.23
—
—
67,17
—
—
134,53
137,25
—
—
3 917
4.11.89
61,14
23,22
123, 7
3 919
2-3-653
—
—
63, 5
62, 5
77,i9
138,55
i39, 2 7
—
76,30
3 923
2.37.53
—
i5,43
—
—
—
—
—
—
—
3 929
8.491
35,52
27,40
79,34
—
—
77,20
131,17
59, 8
—
3 931
2.3-5- I 3i
—
59,i5
—
i6,35
89,i7
84,25
127, 9
58, 9
125, 3
3 943
2.27.73
—
—
75, 2 9
26,33
52,22
—
—
60, 7
124, 6
3 947
j 2.1973
—
45,3i
—
—
—
—
—
—
27,37
3 967
2 3.661
—
—
63, 1
38,29
125, 3
—
—
—
—
3 989
4.997
25,58
—
—
1 -
1
67,10
134,20
—
—
4 001
32.125
49,40
63, 4
83,38
—
89,28
127, 5
47,16
—
4 003
2.3.23.29
—
3i,39
—
56,17
107,13
—
—
—
—
4 007
2.2003
—
—
77,3 r
—
—
—
—
—
12,38
4 013
: 4.17-59
13,62
—
25,22
126, 4
4 019
, 2.49.41
—
63, 5
—
—
—
68,11
136,22
62, 5
5i,35
4 021
j 4.3.5.67
39,5°
—
61, IC
9i,i7
99,34
127, 3
—
—
4 027
2.3.H.61
—
43,33
—
52,21
104,14
—
18,23
112,18
4 048
1 16.11.23
55,32
57,20
89,44
1
—
73, J 6
139,25
—
75,3i
4 051
1 2.81.25
—
i,45
—
28,33
56,22
i 64, 3
128, 6
65,33
4 057
4 073
18.3.13.13
59,24
23,42
75,28i3,3^
j 26,24
I —
—
5,24
127, 3
8.509
37,5 2
45,32
71,22
1 "
1 "
1 —
—
—
111,19
QUADRATIC PARTITIONS.
15
p
p— 1
a b
c d
e f
A B
L M
x 7
X Y It u
v w
4 079| 2.2039
—
—
73,25
— -~
82,23131,13
— 60,34
4 091' 2.5.409
—
27,41
—
1 —
—
64, 1 128, 2
— —
4 093 4.3.11.31
27,58
—
—
25,34
127, 3
—
—
— 46,36
4 099
2.3.683
—
7,45
,64, 1
67,21
88,27
129, 7
54,13 —
4111
2.3.5-!37
—
—
8i,35
; 2,37
109,13
66, 7
132,14
32,21 —
4 127 2.2063
—
—
65, 7
—
—
—
40,19, —
4 129 32.3.43
23,60
59,!8 77,3049,24
98,16
103,36
129, 5
— j I2 5, 9
4133 4.1033
17,62
— —
4 139 2.2069
—
21,43
— ■
—
112,41
169,49
46,17120,14
4153
; 8.3.173
43,48
25,42
65, 6
6l,I2
122, 8
—
—
11,24 —
4 157
4.1039
59,26
_ __
4 159
2. 27. 7. 11
— ■
71,21
22,35
83,19
98,33
129, 1
64, 3 "SMS
4177
16.9.29
9,64
55,24
73,24
!7,36
34,24
—
4 201
8.3.25.7
5MQ
49,3°
67,12
43,28
127, 5
i4i,5 6 |i43,27
T 3, 2 4!
4211
2.5.421
—
63,11
—
—
—
116,43133,13
58,n
105,23
4 217
8.17.31
11,64
57,22
65, 2
—
117,17
4 219
2. 3-19-37
—
13,45
—
56,19
!,25
68, 9
136,181 —
—
4 229
4-7-I5 1
65, 2
—
—
— ■
107,38
131, 729,22129, 5
4 231
2.9.5.47
—
—
9i,45
58,17
7,25
66, 5
132,10
—
— •
4 241
16.5.53
65, 4
3,46
71,20
—
79,20
i37,i9
—
—
4 243
2.3.7. 101
—
65, 3
—
64, 7
85,19
—
—
34,2i
—
4 253
4.1063
53,38
65, 2
—
4 259
2.2129
—
39,37
—
—
—
92,29
131, 5
- —
—
4 261
4.3-5.7I
65, 6
—
—
53,22
13,25
69,10
138,20
—
95,27
4 271
2.5.7.61
— ■
—
73,23
—
86,25
i33,n
64, 5
45,37
4 273
16.3.89
57,32
41,36
75,26
65, 4
53,23
—
—
—
19,39
4 283
2.2141
—
51,29
—
81,31
4 289
64.67
65, 8
33,4o
67,10
—
97,32
131, 1
—
—
4 297
8.3.179
61,24
65, 6
83,36
35,32
131, I
—
—
—
—
4 327
2.3.7.103
—
—
67, 9
38,31
55,23
—
—
48,17
73,33
4 337
16.271
49,44
45,34
85,38
—
—
.—
65, 4
78,32
4 339
2.9.241
17,45
—
64, 9
128, 6
72,13
144,26;
—
25,39
4 349
4.1087
43,5°
—
—
—
—
73,H
146,28
31,22
114,20
4 357
4.9.121
1,66
—
—
5,38
119,11
—
-
—
97,27
4 363
2.3.727
—
59,2i
—
!6,37
127, 7
—
66, 1
—
4 373
4.1093
23,62
—
4 391
2 -5439
—
67, 7
—
—
106,37
i33, 5;
4,25
— ■
4 397
4-7-157
61,26
—
55,i4
—
4 409
8.19.29
53,4039,38
9i,44
—
—
67, 4
134, 8;
—
6,40
4 421
4-513-17
65,14
—
—
—
—
101,34
133, I,
5i,io
—
16
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
x y
X Y
t u
v w
4 423
2.3.11.67
—
—
69,13
34,33
68,22
—
3i,39
4 441
8 3-5-37
29,60
43,36
79,3o
37,32
59,23
69, 8 138,16
—
4 447
2.9.13.19
—
—
73,2i
58,19
115,^3
—
—
60,11
!33, 3
4 451
2.25.89
—
33,4i
—
—
—
136,53
143,23
—
—
4 457
8-557
19,64
15,46
67, 4
4 463
2.23.97
—
—
7i,i7
—
—
—
—
44,i9
—
4 481
128.5.7
65,16
63,16
•67, 2
—
—
H9,44i37,i3
41,20
18,40
4 483
2.27.83
—
55,27
: —
40,31
i33, 3
—
—
—
4 493
4-1123
67, 2
—
—
—
—
—
—
129,11
4 507
2-3-75 1
—
67, 3
20,37
91,19
—
—
—
—
4 513
3 2 '3.47
47.48
65,12
8l,32
25,36
50,24
—
—
—
*$h 9
4517
4.1129
49,46
—
—
—
—
—
67, 2
—
4 519
2.9.251
—
69,11
62,15
124,10
82,21
141,19
12,25
115,21
4 523
2.7. 17.19
5 J ,3i
50,17
4 547
2.2273
—
63,17
58,i3
48,38
4 549
4-3-379
65,18
—
—
43,3o
86,20
123,46.139,15
—
4 561
16.35.19
31,60
67, 6
69,10
47,28
37,25
81,20143,2123,24
—
4 567
2.3.761
—
—
75,23
2,39
4,26
—
—
—
—
4 583
2.29.79
—
—
91,43
—
—
—
—
—
—
4 591
2.27.5.17
—
—
71,15
22,37
i33, 5
114,41
137, 9
—
92,30
4 597
4-3-383
41,54
—
67, 6
134, 4
—
—
—
—
4 603
2-3-!3-59
—
61,21
—
64,13
103,17
—
—
30,23
4i,39
4 621
4-3-5-7.ii
61,30
—
17,38
I3 1 , 7
79,18
147,25
57,M
130,12
4 637
4.19. 61
59,34
—
—
—
4 639 2.3.773
—
—
8l,3I
46,29
41,25
78,17
149,27
—
—
4643 2. 11. 211
—
15,47
46,19
9,4i
4 649
8.7.83
5,68
5!,32
7M4
—
—
77,16
151,29
43,2o
—
4 651
2.3-25.31
—
67, 9
—
68, 3136, 2
76,15
152,30
—
127,15
4 657
16.3.97
39,56
7,48
75,22
65,12130, 8
—
—
25,24
103,27
4 663
2.9.7.37
—
—
69, 7
10,39
20,26
—
—
64, 9
—
4 673
64.73
7,68
21,46
79,28
—
—
—
—
65, 8
126,16
4 679
2.2339
—
—
77,25
—
—
n8,43
i39>"
—
i5,4i
4 691 2.5.7.67
—
63,19
—
—
—
104,35
137, 162,11
i35, 7
4 703 2.2351
—
—
7i,i3 -
—
—
—
—
—
4 721 16.5.59
25,64
39,4o
89,40
—
—
71, 8
142,16
—
—
4 723 2.3.787
—
4i,39
— 56,23
125,11
—
—
—
136, 6
4 729
8.3.197
45,52
11,48
69, 429,36
58,24
93,28
i39, 9
61,12
—
4 733
4-7- I 3- I 3
37,58
—
—
—
—
—
—
1,26
21,41
4 751
2. 125.19
—
—
73,i7
—
—
86,23
i43, 1 7
—
—
4 759
2.3.13.61
—
—
69, 1
M,39
28,26
122,45
141,13
—
—
QUADRATIC PARTITIONS.
17
p
p-1
a b
c d
e f
A B
L M
x y
X Y
t u
V w
4 783 2.3.797
—
—
79,27
26,37
85,21
—
—
60,13
49,39
4 787 2.2393
—
33-43
—
—
—
—
4 789 1 4-9-7.19
55,42 •
—
67,10
97,i9
147,58
151,27
69, 2
7o,36
4 793 8.599
13,6869, 4
95,46
4 799
2.2399
—
—
71,11
—
—
98,31
T 39, 5
68, 5
111,25
4 801 64.3.25
65>2447, 3 6
97,48
1,40
121,13
151,60
!53, 2 9
—
85-33
4 813 4-3-4 01
67,18 —
—
65,14
107,17
—
—
9,26
—
4 817 16.7.43
41,5657,28
73,i6
—
—
—
55,!6
—
4 831 2.3.5.7.23
—
—
87,37
34^35
71,23
126,47
143,15
48,19
—
4 861 4-243-5
69,10
—
—
23,38
J37, 5
71, 6
142,12
—
—
4 871 2.5.487
—
—
77,23
—
74,ii
148,22
—
60,38
4 877 4-23-53
6i,34
—
117,23
4 889 8.13.47
67.20
69, 8
79,26
—
—
83,20
149,23
—
i35,n
4 903 2.3.19.43
—
—
75,*9
70, 1
73,23
—
—
—
—
4 909 4.3.409
3,7o
—
—
47,3°
94,20
97,3°
141, 7
39,22
131,15
4 919 2.2459
—
—
91,41
—
—
82,19
151,25
—
4 931 2.5.17.29
—
57,29
—
—
—
76,13
152,26
120,22
4 9334-9- I 37
33,62
—
59,22
7,27
—
—
—
74,36
4 937 8.617
29,64
63,22
73,H
—
—
—
—
67, 8
138, 8
4 943 2.7.353
~~
—
7i, 7
—
—
—
—
64,11
84,34
4 951 2. 9.25. 11
—
93,43
58,23
11,27
i34,5 J
147,19
24,25
20,42
4 957 4-3-7-59
69,14
—
—
25,38
89,21
—
—
15,26
—
4 967 2. 13. 191
—
—
83,31
—
—
—
—
68, 7
—
4 969 8.27.23
37,6o
19,48
71, 6
13,40
133, 9
107,36
141, 1
—
—
4973 .4.11. 113
67,22
141, 1
4 987 s 2.9.277
53,33
—
68,11
101,19
—
—
128,18
4 993 128.3.13
63,32
49,36
81,28
65,16
17,27
—
—
31,24
—
4 999i 2.3.49.17
—
—
99,49
46,31
i39, 5
138,53
149,21
36,23
140, 6
5 003 2.41. 61
—
69,11
39,4i
5 009' 16.313
65,28
3, 5o
7i, 4
—
—
73, 8
146,16
47,20
8i,35
5 011 2.3.5.167
—
3i,45
—
56,25
19,27
96,29
143, 9
—
5 021 4-5-251
11,70
—
—
—
—
71, 2
142, 4
17,26
135,13
5 023 2.81.31
—
—
7i, 3
50,29
i37, 7
—
—
44,2i
—
5 039
2. 11. 229
—
—
7 1 , 1
—
—
142,55
151,23
—
141, 5
5 051
2.25. 101
—
5i,35
—
—
—
116,41
i43, 7
26,25
—
5 059 2.9.281
—
7i, 3
—
4,4i
119^5
72, 5
144,10
—
—
5 0771 4-27.47
71, 6
—
—
67,14
25,27
—
—
53,i8
—
5 081 8.5.127
59,4o
9,5°
91,40
—
—
101,32
H3, 5
—
—
5 087 2.2543
—
—
73,n
—
—
—
— ■
—
3,43
5 099
, 2.2549
—
69,13
—
—
—
88,23
149,19
—
—
18
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
x y
X Y
t u
v w
5 101
4-3-25-*7
5i,5o
—
—
49,3o
98,20 111,38
H3, 3 -
5 107
2-3- 2 3-37
—
65,21
—
8,41
13 1 , 11 —
—
2,27 32,42
5 113
8.9.71
53,48 7i, 6
75,!6
35,36
70,24
—
—
6i,39
5119
2.3-853
—
—
87,35
38,35
i43, 1
158,63
"5*3"
4,27
125,21
5147
2.31.83
—
27,47
38,23
5153
32.7-23
23,68
69,14
95,44
—
—
—
—
7i, 4
129,19
5 167
2.9.7.41
—
—
73, 9
62,21
124,14
—
—
8,27
—
5 171
2.5. 11.47
—
57,3i
—
—
—
76,11
152,22
— 75,37
5 179
2.3.863
—
61,27
—
64,19
121,15
72, 1
144, 2
— 1104,30
5189
4.1297
17,70
—
—
—
—
133,50
149,17
67,10
5 197
4-3-433
29,66
—
■ —
65,18
130,12
—
—
113,27
5 209
8.3-7-3*
5,72
41,42
81,26
59,24
118,16 77,12
154,24
69, 8
—
5 227
2.3.13.67
—
5,5i
— -
52,29
35,27 ! —
—
—
—
5 231
2-5-523
—
—
73, 7
—
— I 74, 7
148,14
5 2 , x 9
—
5 233
16.3. 109
7,72^5,48
75, J 4
71, 8
95,2i
—
65,12
5 237
4.7. 11. 17
7i,i4
43,22 123,23
5 261
4.5.263
19,70
—
—
—
—
79,14
158,28
23,26 87,35
5 273
8.659
67,28
69,16
79,22
—
—
—
—
59,!6 51,41
5 279
2.7.13.29
— -
—
73, 5
—
—
82,17 161,31
64,13
5 281
32-3-5- 11
41,60
59,3o
77,i8
47,32 143, 5 81,16162,32
—
M5, 3
5 297
16.33 1
71,16
57,32
73, 4
—
—
—
—
—
5 303
2.1 1. 241
—
—
85,3i
—
—
—
—
40,23
141,11
5 309
4.1327
535o
—
—
—
—
73, 2
146, 4
—
—
5 323 2.3.887
—
Ii,5i
—
56.27
112,18
—
—
—
—
5 333:4 31-43
73. 2
6,44
5 347 2. 243. 1 1
—
73, 3
28,39
56,26
—
—
97,33
5 35ll 2.25.107
—
77,i7
—
—
74, 5
148,10
—
i35,i7
5 381
4.5.269
65^34
—
—
—
—
149,58
157,25
—
—
5 387
2.2693
—
45,4i
58,17
5 393
i6-337
73, 8
39,44
9i,38
111,29
5 399
2.2699
—
—
101.49
—
—
98,29
149,11
32,25
!05,3!
5 407
2.3-I7.53
—
—
io3,5!
70,13109,19
—
—
—
—
5 413
4.3.11.41
63,38
—
—
11,42 22,28
—
—
45,22 86,36
5 417
8.677
59,44
3,52
77,16
— —
— |l02,32
5 419
2.9.7.43
—
37,45
—
64,21 128,14132,49151,15
62,15
—
5 431
2.3.5.181
—
—
83,27
62,23131,13 74, 3H8, 6
—
5 437
4.9.151
69,26
—
—
73, 6146, 4
— —
142,12
5 441
64.5.17
71,20
21,50
79,2o -
161,64163,31
73, 4
5 443 2.3.907
—
49,39
— 20,41 143, 7
—
54,19 7i,39
5 449
8.3.227
43,6o
29,48
93,4o
61,24
122,16
123,44
149, 9
139,15
QUADRATIC PARTITIONS.
19
p
p-1
a b
c d
e f
A B
L M
x y
X Y
t u
v w
5 471
2-5-547
—
—
89,35
— .
—
74, 1
148, 2
68,11147, 5
5 477
4-37-37
i,74
__ i
5 479
2.3.11.83
—
77,i5
74, 1
71,25
78,11
156,22
— 145, 9
5 483
2.2741
—
69,19
—
— •
—
—
—
74, 1 96,34
5 501
4.125. 11
5,74
—
—
—
—
89,22
157,23
— [123,25
5 503
2.3.7.131
—
—
81,23
74, 3
148, 2
—
- —
20,27 131,21
5 507
2-2753
—
33,47
5 519
2.31.89
—
—
79,i9
— ■
—
118,41
i49, 5 -
—
5 521
16.3-5-23
65,36
61,30
87,32
73, 8
49,27
79,12158,24
—
—
5 527 2.9.307
—
—
75, 7
22,41
101,21
—
—
72, 7
52,42
5 531: 2.5.7.79
—
27,49
—
—
—
76, 7
152,14
34,25
93,35
5 557! 4-3-463
9,74
—
—
35.38
149, 1
—
—
—
—
5 563! 2.27.103
—
!9,5!
—
4,43
i33,i3
—
—
—
—
5 569 64.3.29
63,40
3!,48
99,46
41,36
82,24
87,20
161,27
9,28
i,45
5 573 4.7.199
47,58
29,26
—
5 581| 4-9-5-31
35,66
—
—
17,42
34,28
81,14
162,28
73, 6
7,45
5 591
2.5-I3.43
—
—
77,i3
—
-—
86,19
163,29
—
45,43
5 623
2.3.937
—
—
75, 1
74, 7
53,27
—
—
60,17
—
5 639
2.2819
—
—
83,25
—
—
122,43
151, 744,23
—
5 641
8.3.5.47
75, 4
67,24
77,12
29,40
9!, 2 3
131,48
i53,i3 —
17,45
5 647 2.3.941
—
—
87,3i
10,43
139,11
—
— —
10 3,33
5 651i 2.25. 113
—
63529
—
—
—
76, 5
152,1074, 5
—
5 653' 4.9.IS7
73,i8
—
—
19,42
38,28
—
— 75, 2
—
5 657. 8.7.101
61,44
75, 4
85,28
—
—
—
— 13,28
87,37
5 659 2.3.23.41
—
59,33
—
56,29
143, 9
148,57
159,23 —
J 9,45
5 669 4. 1 3. 1 09
65,38
—
—
—
—
107,34
151, 5 —
150, 4
5 683 2.3.947
—
65,27
—
64,23
5,29
—
—
5 689 8.9.79
75, 8
71,18
91,366;
7,29
117,40
l 5h 3| —
—
5 693
4.1423
43,62
— 31,26
—
5 701
4.3-25.19
i5,74
—
—
37,38
77,25
101,30
i53, TI
—
23,45
5 711
2.5-571
—
—
97,43
—
—
94,25
i57,i9
—
—
5 717 4.1429
71,26
5 737 8.3.239
5i,56
47,42
83,2443,36
86,24
—
— 75, 4
—
5 741 4.5.7.41
29,70
—
—
—
—
79,10
158,2071,10
—
5 743 2.9.1 1.29
—
—
89,33
14,43
"5i I 9
—
—
—
79,39
5 749 4-3-479
57,5o
—
—
61,26
17,29
77, 6
154,1259,18
—
5 779 2.27.107
—
73,i5
—
76, 1
79,25
168,67
169,33126,27
29,45
5 783 2.49.59
—
—
101,47
—
—
—
—
76, 1
—
5 791
2.3-5-193
—
—
79,15 46,35
59,27
106,33
i53, 7
52,21
140,18
5 801
8.25.29
5,76
5 X ,40
77, 8
—
—
139,52
i57,i7
—
150, 8
20
QUADRATIC PARTITIONS.
p
p-1
a be d e f
A B
L M x y
X Y
t u
v w
5 807
2.2903
—
—
103,49
__ 1 _
—
—
68,13
—
5 813
4-1453
73,22
69,41
5 821
4-3-5-97
75»i4
—
—
23,42 46,28121,42
i53, 5
33,26
—
5 827
2.3.971
—
25,5i
—
28,41 95,23
—
—
—
—
5 839
2 -3-7-i39
—
—
81,19
74,11 107,21
78, 7
156,14
76, 3
116,30
5 843
2.23.127
—
15,53
— —
5 849
8.17.43
35,68
21,52: 79,14
77, 4
154, 8
19,28
—
5 851
2.9.25.13
—
53,39 —
76, 5 61,27
n6,39
i53, 1
—
—
5 857
32.3.61
9,76
5.54 77, 6 7,44125,17
—
—
—
io7,33
5 861
4.5- 2 93
3i,7o
— —
—
91,22
163,25
67,14
138,20
5 867
2.7.419
—
75,n' —
62,17
147,13
5 869
4.9.163
45,62
49,34
151, 5i43,54
I59,i9
—
—
5 879
2.2939
—
— 77, 5
—
- | 82,13
164,26
—
129,25
5 881
S-3-5-49
75>i6
7,54 97,42
53^32
149, 7 99,28
157,154;
—
5 897
8.11.67
11,76
45,44 ! 77, 4
57,43
5 903
2.13.227
—
— 79,i3
—
—
—
—
4,29
—
5 923
2.9.7.47
—
71,21 —
76, 7
97,23
—
6,29
151, 9
5 927
2.2963
—
— i 77, 1
—
—
—
—
—
93,37
5 939
2.2969
—
39,47 —
—
—
88,19
169,31
—
—
5 953 64.3 .31
57, 5 2 n>54 79,i2
65,24
130,16
—
—
—
—
5 98L 4.5.13.23
59,5°
— —
—
—
151,58
163,23
—
—
5 987 2.41.73
—
57,37; —
10,29
i53, 7
6007 2.3.7. 11. 13
—
— | 83,21
38,39
76,26
—
—
48,23
68,42
6 011! 2.5.601
—
69,25
—
—
104,31
i57,n
—
135,23
6 029
4 11. 137
77,io
- —
—
—
—
97,26
161,1973.10
75,4i
6 037
43.503
41,66
—
—
77, 6
154. 4
_ _
127,27
6 043
2 -3-i9-53
—
29,51
44,37
67,27
—
— 74, 9
139,21
6 047
2.3023
—
—
97,4i
—
—
—
—
—
—
6 053
4.17.89
47,62
54,44
6 067
2-9-337
—
55,39! 32,41
155, 3'
—
—
—
6 073
8.3-11-23
77,12 59,36 85,2461,28
i45,n —
— 75, 8
134,24
6 079
2.3-1013
— 1 — J 79. 9 2 ,45
4,3°, 78, 1
156, 2 —
—
6 089
8.761
67,4033,50 83,20
—
— 163,64
169,29 —
—
6 091
2.3.5.7.29
—
77, 9
—
4,45
8,30 96,25
163,2178, 1
—
6101
4.25.61
25,74
—
—
109.34
i57, 7 37,26
—
6 113
32.191
73,28
69,26
79, 8
—
—
—
— 25,28
• —
6 121
8.9.5.17
45,64
17,54
89,30
77, 8
101,23 171,68
173,33 —
47,45
6 131
2-5-613
9,55
—
—
— 124,43
i57, 5 —
15,47
6 133
4.3-7-73
7,78
—
—
29,42
58,28
— 69,14
—
6143
2-37-83
~
79, 7
—
- 1
—
—
16,29
36,46
QUADRATIC PARTITIONS.
21
p
p-l
abed
e f
A B
L M
x J
X Y
t u
v w
6 15L
2.3.25.41
—
—
|
ioi,4574 5 i5
148,10114,37
i57, 3
—
—
6163
2.3- J 3-79
—
3i,5!
— 4o,39
80,26
—
—
—
89,39
6 173
4.1543
53,58
6 197
4.1549
7!,34
-
-
53,22
147,17
6 199
2.3-i°33
—
—
93,3534,4*
89,25
102,29
161,15
68,15
—
6 203
2-7-443
—
75, J 7
-
50,23
—
6 211
2.27.5.23
—
73,2i
—
68,231:
84,13
168,26
18,29
—
6 217
8.3.7-37
21,76
77,12
87,26
67,24
134,16
—
—
27,28
—
6 221
4.5.311
61,50
—
—
—
—
79, 2
158, 4
—
—
6 229
4-9-I73
73,3o
—
—
77,10
47,29
93,22
169,27
—
155, 9
6 247
2-9-347
—
—
io7,5 r 58,3!
151, 9
—
—
—
—
6 257
16.17.23
79, 4
45,46
85,22 •
27,47
6 263
2.31. 101
—
—
109,53
—
—
—
—
—
81,41
6 269
4.1567
37,7o
—
—
—
—
i37,5o
161,13
79, 2
—
6 271
2. 3.5. 11. 19
—
iu,55
14,45
28,30
86,15
172,30
—
53,45
6 277
4-3.523
79, 6
—
—
53,34
49,29
—
—
—
—
6 287
2.7.449
—
—
95,37
—
—
—
—
20,29
—
6 299
2.47.67
—
5i,43
—
—
—
88,17
176,34
—
—
6 301
4.9.25.7
75,26
—
—
73,18146,12
89,18
177,35
i,3°
n5,33
6 311
2.5.631
—
—
83,17
154,59
167,23
44,2 5
—
6 317
4-1579
29,74
~ —
i53,i3
6 323
2.29.109
—
39,49
— ! —
74,n 159, 1
6 329
8.7.113
77,2069,28 101,44
— —
107,32
161,11
29,28 150,16
6 337
64.9. 1 1
71,36
53,42
93,34
23,44^55, 7
—
—
73,i2
2,48
6 343
2.3.7.151
—
—
85,21
74,i7 125,19
—
—
76, 9
— _
6 353
16.397
73,32
9,56
89,28
—
—
—
—
79, 4
—
6 359
2. 11. 17. 17
—
—
9i»3«
—
—
158,61
169,25
156,10
6 361
8.3.5.53
69,40
23,54
81,10^7,12154, 8
141,52163,15
—
10,48
6 367
2.3.1061
—
—
97,3962,29149,11
—
—
72,13148,18
6 373
4.27.59
17,78 -
—
5,46 133^7
—
—
106,36
6 379
2.3.1063
— 177,15
—
52,35
53,29
132,47
161, 966,17
—
6 389
4.1597
55,58| —
—
—
—
83,10
166,20
—
i59, 5
6 397
^•^^i
59,54J —
—
7,46|i45,i3
-
—
—
—
6 421
4.3-5- io 7
39,7o —
—
61,30 122,20
99,26
167,21 11,30
—
6 427
2.27.7.17
— 35,5! —
80, 3160, 2
-
— 78, 7 133,27
6 449
16.13.31
7,8057,40107,50
— —
127,44
161, 531,28,111,35
6 451
2.3-25-43
— 49,45
—
76,15 152,10
84,11
168,22
58,21! 80,42
6 469
4.3.49.1 1
63,50, —
—
11,46127,19
117,38161, 3
13,30.145,21
6 473
8.809
43,6851,44
109,52
- | -
—
— 129,29
6 481
16.81. 5
9,80
73,24
9i,3o
41,40
79,27
81, 4
162, 8
~
—
22
QUADRATIC PARTITIONS.
V
abed
e f A B
L M
x yiXYitu vw
6 491
6 521
6 529
6 547
6 551
6 553
6 563
6 569
6 571
6 577
6 581
6 599
6 607
6 619
6 637
6 653
6 659
6 661
6 673
6 679
2.5,11.59
8.5.163
1 28.3. 1 7
2.3.1091
2.25.131
8.9.7.13
2.17.193
8.821
2-9-5-73
16.3.137
4-5-7-47
2.3299
2.9.367
2.3.1103
4.3-7.79
4.1663
2.3329
4.9.5.37
16.3 139
2.9-7.53
6 689 32.11. 19
6 691 2.3.5.223
6 701
6 703
6 709
4.25.67
2.3.1117
4-3- I 3.43
6 719 2.3359
6 733 4.9. 1 1- 1 7
6 737
6 761
6 763
6 779
6 781
6 791
6 793
6 803
6 823
6 827
6 829
6 833
6 841
16.421
8.5.13-13
2.3.49.23
2.3389
4.3.5.ii3
2.5.7.97
8.3.283
2. 19. 179
2.9.379
2.3413
43.569
16.7. 61
8.9.5.19
— 21,55
11,8039,50
65,4879,12
— 7,57
37,72 55,42
— 81, 1
i3,8o|8i, 2
— [37,51
81, 4!77,i8
41,70 —
97,38
81, 473,20 13,31
— 80, 7 59,29
83,13
81, 259,32155, 9
89,26
6i,54
53,62
81,10
63*52
17,80
35,74
25,78
3,82
3i,76
19,80
75,34
67,48
77,30
47,68
21,80
85,18
91,29
105,47
32,43
65,28
n,57
81, 7
29,54
81, 8
79,i5
37,42
101,4279,12
5o,37
64,29
17,46
97,25
J 9,3i
61,29
23^3!
121,21
136,49163,1146,25 75,43
149,56167,1961,20105,37
97.24171.25 — {
— 38,27 —
86.13172.26 — —
— 69,16 —
— 26,29 —
83, 8166,16 — —
96.23173.27 — 128,30
— 33,28 —
[31,46163, 74326 45,47
82, 5 164,101 — J —
88,15176,3054,23 —
— 57,22158,12
74,28
- 158, 8
109,5146,39 92,26
83,10 —
i59,n
92,19181,3574,13 15,49
91,18182,3619,30 —
— I — 81, 4 —
82, 3164, 648,25 —
103,28169,1979, 8141,25
' — 67,45
8,47149,13144,53167,15
111,53 34,43 163, 3
— 19,46157, 9 83, 6166,12
3,58
81,10
6i,39
27,55
3i,54
81,11
45,49
5^46
7i,3°
IJ 3,55 — — 82, 1
— 49,38 65,29
103,44
83, 8
73
83, 7
105,4661,32
91,2714,47
— 79,i4
85,14 —
161,621173,25 73,14! —
— — 40,27 161, 9
80,11 113,23
\2 139
35,3!
167,13
. 169,17
7 169,66 177,29
86,11 172,22
109.32
148,55
164, 2
155,"
37,3i
10,31
177,70181,3323,30 71,45
0^,14 — — |7 I , I 6
107,4867,28,151,13,181,72183,3553,24
6,3!
8,31
60,46
101,39
162, 8
149,21
120,34
!57,i5
H7,35
129,31
164, 6
QUADRATIC PARTITIONS.
23
p
p-1
a b
c a
e f AB
L M
x y
X Y
t u
v w
6 857
8857
61,5663,38 83, 4
—
—
—
—
37,28
147,23
6 863
2-47-73
— — ! 89,23
—
—
—
—
—
—
6 869
4.17.101
55,62 -
—
—
—
83, 2
166, 459,22
135,29
6 871
2.3.5.229
—
—
^3, 3
82, 7
103,25
114,35
167, 912,31
—
6 883
2-3-3!-37
—
41,5*
—
16,47
125,21
—
—
66,19
—
6 899
2.3449
— 81,13
—
—
88,13
176,26
82, 5
—
6 907
2.3.1151
- ;83, 3!
80,13
41,31
—
—
—
—
6 911
2.5.691
— : —
103,43
—
—
134,47
167, 7
32,29
12,50
6 917
4.7. 13.19
79,26 —
—
—
—
—
—
83, 2
138,28
6 947
223.151
— 157,43
6 949 4-9-193
15,82 —
—
59,34
43,31
107,30
171,17
—
— .
6 959 2.49.71
— —
97,35
—
—
98,23
179,29
76,13
—
6 9611 16.3.5.29
81,2083, 6
H7,58
7,48
14,32
129,44
167, 3
—
50,48
6 967: 2.81.43
— —
93,29
82, 9
164, 6
—
—
80, 9
92,42
6971 2. 5. 17.41
— 3,59
—
—
—
124,41
167, 1
—
—
6 977
64.109
71,4475,26
95,32
87,43
6 983
2.3491
—
—
85,11
—
—
—
—
16,31
39,49
6 991
2-3-5-233
—
—
87,17
38,43
91,27 86, 9
172,18
—
—
6 997
4-3-H-53
39,74
—
—
83, 6
166, 4
—
75,H
167, 3
7 001
8.125.7
35,76
27,56
101,40
—
—
91,16
182,32
^3, 4
102,40
7 013
4-1753
17,82
7 019
2. 121.29
—
5!,47
—
—
—
92,17
i84,34 -
24,50
7 027
2.3.1171
—
23,57
—
20,47
161, 9
—
— —
12733
7 039 2.9.17.23
—
—
89,21
58,35
47,3!
138,49
169, 944,27
—
7 043
2-7-5°3
—
9,59
34,29
144,26
7 057
16.9.49
1,84
35,54
87,16
73,24
146,16
—
—
55,24
—
7 069 4.3.19.31
75,38 ■
—
71,26
149,15
87,10174,20
—
—
7 079 2.3539
—
—
109,49
—
—
118,37169, 7
52,25
—
7103
2-53-67
—
—
95,3i
—
—
—
—
—
—
7 109
4.1777
47,7o
—
—
—
133,46
169, 5
61,22
45,49
7121
16.5.89
55,64
57,44
89,20
—
—
1 5h 56^73,17
73> l6
147.25
7 127
2.7.509
—
—
85, 7
—
—
— —
20,31
—
7 129
8.81. n
27,80
73,3o
91,2477,20
i37,i9
123,40169, 3
—
79,45
7 151
2.25. 11. 13
—
—
ii3,53; —
—
86, 7172,14
68,19
123,35
7 159
2.3.1193
—
—
101,3946,41
77,29
142,51
171,11
—
5,5i
7 177
8-3 13-23
11,84
83,12
87,1437,44
95,27
—
—
3,32
58,48
7 187
2-3593
—
i5,59
— —
n7,37
7193 8.29.31
67,52
75,28
85, 4 —
—
—
—
5,32
—
7 207
2.3.1201
—
—
85, 3 2,49
i45, J 7
—
—
72,17
—
7 211
2.5.7.103
—
69,35
—
—
—
184,73
187,35
22,31
—
24
QUADRATIC PARTITIONS.
p
*>-l
a b
c d
e f
A B
L M
x y
x'y it u
v w
7 213
4.3.601
83,18
—
79,18158,12
—
—
7 219
2.9.401
—
7i,33
4,49 *5M5
188,75189,37
46,27 155,21
7 229
4-i3i39
85, 2
—
—
—
103,26179,25
7 237
4.27.67
81,26
—
85, 2
79,29
—
—
7 243
2. 3.17. 71
—
85, 3
56,37
55,3i
—
—
— !9,5i
7 247
2.3623
—
—
103,41
—
—
—
—
80,11 93,43
7 253
4-49-37
23,82
—
85, 2 51,49
7 283
2. 11. 331
—
81,19
—
— 1141,29
7 297
128.3.19
39,76
85, 6
93,26
65,32
161,11
—
—
— 62,48
7 307
2. 13. 281
—
75,29
— 153,23
7 309
4.9.7.29
35,78
—
3^46
169, 5127,42171, 1
71,18 25,51
7 321
8.3.5.61
61,60
11,60
III,50
83,12
166, 8
101,24 183,29
— —
7 331
2-5-733
—
63,41
—
—
"^35»73r«
38,29 168,10
7 333
4-3-!3-47
63,58
—
85, 6
170, 4
— —
51,26 —
7 349
4.11.167
25,82
—
—
—
163,62^79,23
— 9o,44
7 351
2.3.25.49
—
—
99,35
74,25
i,33
86, 3172, 6
76,15,100,42
7 369
8-3-3°7
85,12
13,60
87,10
59,36
118,24
93,16186,32
— —
7 393
32.3.7. 11
47,72
79,24
n5,54
71,28
i3,33
—
—
15,32 3h5\
7 411
2-3-5- I 3- I 9
—
47,5!
28,47
JI 3, 2 5
96,19
192,38
— — i
7 417
8.9.103
19,84
53,48
n7,56
85, 8
61,31
—
—
75^6 133,33
7 433
8.929
53,68
45,52
119,58
7 451
2.25.149
3,6i
—
—
—
136,47
173, 5
—
48,50
7 457
3 2 - 2 33
41,76
27,58
95,28
—
—
—
— 17,32
—
7 459
2.3 ,11.113
—
3i,57
—
16,49
163,11
108,29
179,2186, 3 35,51
7 477
4.3.7.89
9,86
- —
—
83,14
125,23
—
- ,85, 6
—
7 481
8.5.11.17
85,16
57,46
91,20
—
—
i3 J ,44
173, ! —
75,47
7 487
2.19.197
—
—
97,3!
—
—
—
-— 40,29
—
7 489
64.9.13
33,8o
17,60
99,34
4i,44
i73, 1
87, 4
174, 8 —
n5,39
7 499
2.23.163
—
69,37
—
—
—
88, 7
176,1474,17!
7 507
2.27.139
—
73,33
—
68,31
25,33
—
—
i73, 3
7 517
4.1879
11,86
18,52
7 523
2.3761
—
9,61
7 529
8.941
77,40
81,22
89,14
—
—
107,28
181,2319,32
129,35
7 537
16.3-157
79,36
83,18
87, 4
25,48
50,32
— —
—
7 541
4-5- I 3-29
71,50
—
—
—
179,70
187,31:53,26
—
7 547
2.343. 1 1
—
75,3i
— 62,23
123,37
7 549
4.3-!7-37
85,18
—
—
7,5o
143^9
87, 2
174, 4
—
89,45
7 559
2.3779
—
—
91,19
—
—
158,59
179,19
—
7 561
8.27.5.7
75,44
19,60
87, 2
67,32
29,33
91,12
182,2469,20! 70,48
7 573
4-3- 6 3 T
87, 2
—
—
35,46
103,27
—
—
1 ""
4i, 5 1
QUADRATIC PARTITIONS.
25
abcde fABLMxyjXY
t U V w
7 577
7 583
7 589
7 591
7 603
7 607
7 621
7 639
7 643
7 649
7 669
7 673
7 681
7 687
7 691
7 699
7 703
7 717
7 723
7 727
7 741
7 753
7 757;
7 759!
7 789]
7 793
7 817
7 823
7 829 !
7 841;
7 853:
7 867|
7 873
7 877i
7 879!
7 883 !
7 901
7 907
7 919
7 927
8-947 59*6487.
2.17.223 —
4.7.271 65,58
2.3.5.11.23 —
2.3.7. 181 —
2.3803 — ■
4.3.5.127 15,86
2.3.19.67
2.3821 ! —
49.5 1
32.239
45*53
55,6869,38
87,10
83,28
25,84
i,34
75,32
43,54
27,59
79,27
35,57
9M7
97,29
4.27.71
8.7.137
5 I2 -3-5
2.9.7.61
2.5.769
2.3.1283
2.3851
4-3-643
2.27. 11 13 -
2.3863
4-9-5-43 75,46
8.3.17.19 3,8865,42
4.7.277 i 9 ,86| —
2.9.431
4-3-i i-59 83,30 -
16.487 I 7,88 ! 39,56 89, 8
8.977 61,6433,58115,52
2.3911
4-i9-io3 73,5°
32.5.49 79,40
67,58
107,44
89,13
93,23
IJ 5,53
H7,55
109,46
82,17
20,49
— 187,74
31,33106,27
127,23 —
11,50161,13149,54
86, 9 172, 6 162,61
— — jii3,32
i3,5 OI 37,2i: 93,M
95,26
93,2273,28157,15 119,36
23,61 22,49169, 9
— I — 1104,25
56,39112,26 88, 3
37,46i75, 3
80,21 160,14
~~ I ~~
71,30142,20
99,32^29,48
89, 986,11
i7,5o
58,32 -
119,25 102,23
4-13-151
2.9.19.23
64.3.41
4.11.179
2.3.13.101
2.7-563
4.25.79
2.59.67
2.37.107
2-3-1321
63,44
89, 7
97,2
37,57i
57,6885,18 95,2431,48
49,74
85,26
21,61
87,i3
8,51
[1,48
99,3126,49
93, I 95 8 ,39
E
167,11
16,34
62,32
121,25
Il6,26
97,18
157,58
89, 4
!9i,35
183,25
I77,i3
2i9,59
I79,i7
186,28
177,11
187,29
176, 6
— 138,32
80,13 84,46
83,10; —
J 67,i5
50,27
— 170,12
4,33 9*,45
171,11
114,40
37,3o
85, 8
87, 4
!75, 3
8,33 137,33
JO,33
178,12
|6i,24
55,26
i9i,33
194,36
25,32
44,29
181,17
178, 871,20
178,69 189,29
67,22
16,33
34,3!
, 2178, 4
— — |82,i 3
182,71:191,31:88, 5
111,41
n9,39
3,53
49,5i
169,15
130,36
69,49
105,43
42,52
i75, 9
i77, 5
27,53
26
QUADRATIC PARTITIONS.
V
abcde fABLMx y X Y
t U V w
4.3.661
256.31
4.1987
7 951! 2.3.25.53
7 963 2.3.1327
7 933
7 937
7 949
7 993
8 009
8011
8 017
8 039
8 053
8 059
8 069
8 081
8 087
8 089
8 093
8101
8 111
8117
8 123
8147
8 161
8 167
8.27.37
8.7. n. 13
2.9.5.89
16.3.167
2.4019
4.3. 11. 61
2.3.17.79
4.2017
16.5. 101
2.13-311
8-3-337
4.7. 17.17
4.81.25
2.5.811
4.2029
2.31-131
2.4073
32.3.5-I7
2.3.1361
43,78 — J —
89, 4 75,34125,62
35,82 — —
97,27
5,63 —
53,7289, 6 91,12
85,2851,52109,44
— 53,51; —
31,8467,42103,36
— I — 9i,n
87,22 — —
11,63 —
65,62 — j —
41,8087,16! 91,10
107,41
67,6059,48111,46
37,82
1,90
IJ 9,55
89, 2
62,37
95,29
143,50179, 7
49,33186,73193,33
81,14 —
89, 2 —
148,30
8171 2.5.19.43
8 179 2.3.29.47
8 191! 2.9.5.7.13
8 209, 16.27.19
8 219 2.7.587
8 2214-3-5-137
8 231 2.5.823
8 233 8.3.343
8 237| 429.71
8243,2.13.317
8 263 2.243.17
8 269 4.3.I3.53
8 273, 16. 1 1.47
8 287| 2.3.1381
8 291 2.5.829
8 293 4.3.691
14 —
69,41
87,17
81,4031,60
27,61
4i,57
55,72
11,90
89,12
5i,53
|77,48 49,54
[29,86
81,29
13,90
23,88
47,78
9,64
87,19
113,48
123,59
127,63
91, 6
9i, 5
99,28
83,20143,21 147,52181, 9
86, 9
29,32 75,49
— 155,27
87, 8 82,48
— 159,25
— 134,36
66,23 —
76,27152,18
85, I 6i33, 2 3
133,44179, 1
44,45 ! 88,30116,33183,17
47,44179, 1 —
— 1122,37 181,11
61,38 53,33 —
16,51 32,34 92, 9184,18
107,26 191,29
169,64187,23
88, 7
51,28125,39
1 i,34 —
.2106,28 91, 6182,12! 3,34i73,i5
1106,25193,31 — |i8o, 2
5,34 —
96,46
9i, 3
91, 2
io5,37
7,52
7o,33
56,41
46,45
49,44
89,10
11,52
86,17
79,26
22,51
91, 2
163,15121,36183,13
140,22 —
— 104,23197,3538,31
179, 5 ^2,43 181, 3 -
92,30114,31 i87,2i'48,29
83,31177,68191,27 —
— 92, 7184,1462,25
59,33i5i,54i83,ii —
188,22' —
94,11
145,21
37,23 —
I »35' II 3>3o
44,34 —
— 164,6
85,3i -
j85,i2
86,11
189,2387,10
187,19' —
157,27
72,50
65,5i
103,45
45,53
J 79, 9
93,47
81,49
174,16
172,18
QUADRATIC PARTITIONS.
27
p
p-l
a b
c d
e f
& B
L M
x J
X Y
t u
v w
8 297
8.17. 6i 91, 445,5 6
i°3,34 —
— ] \ — ■
53,28
177,13
8 311
2-3-5- 2 77 — —
93,!3 8 2,23
I 3,35 I 46,5 i ;
183, 7
88, 9
—
8 317
4.27.7.11 91, 6 —
—
55,42
110,28
—
15,34
178,12
8 329 1
8-3-347 75,5261,48;
119,549!, A
103,29
93, 8
186,16
—
—
8 353
32.9.29 87,2891, 6
109,42
89,12
178, 8
—
81,16
169,21
8 363
2. 37.113
— ! 75,37
—
—
—
—
—
—
144,34
8 369
16.523 25,8887,20
121,56
—
—
193,76
199,35
89, 8
126,40
8 377;
8-3-349 \Sh7*
85,24
95,i8
67,36
134,24'
—
—
— •
—
8 387'
2.7.599
— •
63,47
—
50,29
168,22
8 389
4-9- 2 33
i7,9°
—
—
91, 6
182, 4
197,78
201,37
—
—
8 419
2.3.23.61
.
79,33
—
88,15
176,10
92, 3
184, 6
—
4o,54
8 423
2.4211
—
—
H5,49
—
—
—
—
80,17
—
8 429
4-49-43
77,5°,
—
—
—
—
97, 14
194,28
71,22
2i,55
8 431
2.3.5.281
—
—
103,33
2,53
161,17
94, 9
188,18
—
107,45
8 443
2.9.7.67
—
9*i 9
—
4,53
155^9
—
—
9°, 7
—
8 447
2.41.103
—
—
95,17
—
—
—
—
—
—
8 461
4-9-5-47
19,90
—
—
3*»5°
119,27
159,58
187,15
—
—
8 467
2.3.17.83
—
23,63
—
92, 1
89,31
—
—
58,27
—
8 501
4.125. 17
55,74
—
—
—
—
109,26
197,3*
—
27,55
8 513
64.7.19
7,9 2
75,38
95, 16
—
—
—
—
55,28
—
8 521
8-3-5-7I
85,36
77,36
93, 8
61,40181, 7
99,t6
198,32
67,24
—
8 527
2.3.49.29
—
97,21
10,531149,21
—
—
92, 3
—
8 537
8.11.97
91,16
87,22
113,46
— —
—
—
37,32
57,53
8 539
2.3.1423
67,45
92, 5 IQ 7,29
108,25
199,33
—
109,45
8 543
2.4271
—
—
H9,53
—
—
—
—
—
—
8 563
2.3.1427
—
25,63
—
44,47
185, 1
—
—
74,2i
184, 6
8 573
4.2143
43,82
114,44
8 581
43-5- II - I 3
65,66
—
—
91,10
121,27
101,18
202,36
185, 3
8 597
4-7-3°7
89,26
—
—
—
—
—
—
85,H
—
8 599
2.3-I433
—
—
93, 5
82,25
i57, J 9
102,19
204,38
—
—
8 609
32.269
47,8o
81,32
97,2o
—
—
103,20
206,40
—
—
8 623
2.9.479
—
— ■
in,43
14,53
1731*3
—
—
—
—
8 627
2.19.227
—
87,23
I77>i7
8 629
4-3-7I9
23,9°
—
—
77,3°
154,20
93, 2
186, 4
—
i79,!5
8 641
64.27.5
71,60
53,54
93, 2
23,52
133,25
129,40
187, 9
8 647
2.3.11.131
—
—
93, 1
38,49
109,29
—
—
32,33
163,27
8 66S
2. 61. 71
—
—
125,59
—
—
—
—
44,3!
—
8 66£
► 4.11.197
85,38
—
—
167,62
191,15
—
174,20
8 67^
1 4.9.241
81,46
—
—
85,22
151,21
—
,93, 2
182,12
8 681
-8.5.7.31
91,2c
93, A
^109,40
> —
—
|i49,5 2
187, "i
|83,^
> —
28
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f A B
1
L M
x y
X Y
t u
V w
8 689 16.3.181
15, 9 2 83,3
117,5089,16
4i,35
97,12
194,24
39,32
—
8 693; 4.41.53
73,58
186, 4
8 699 2.4349
—
93, 5
—
—
—
188,73
i99,3i
—
39,55
8 707 2.3.1451
—
47,57
—
92, 9
184, 6
—
—
—
—
8 713 8.9.121
93, 8
i,66
105,3491,12
182, 8
—
—
—
79,5!
8 719 2.3.1453
—
113,4586,21 172,14
158,57
189,13
12,35
8 731 2.9.5.97
—
9M5
— 68,37 43,35
144,49
187, 3
66,25
8 737 3 2 -3-7-i3
41,84
5,66
95*1225,52
181, 9
—
—
57,28
98,48
8 741 4-5- I 9- 2 3
79,5°
—
—
—
—
139,46
187, 1
—
—
8 747 2.4373
—
93, 7
82,17
—
8 753 16.547
17,92
45,58
H9,52 !
8 761 8.3.5.73
75,56
7,66
97,1843,48 86,32
171,64
193,21
93, 4H3,45
8 7792. 3.7. n. 19
—
29,63
~ l5 2 ,45j I0 4,3o
128,39
189,11
34,33i85, 9
8 783
2.4391
—
95,ii — ™
—
—
—
129,41
8 803
2.27.163
—
89,21
— 40,49187, 3
—
—
54,29
56,54
8 807
2.7.17.37
—
—
"5>47
—
—
—
—
92, 7
—
8 819
2.4409
—
87,25
—
—
—
208,83
209,41
—
. —
8 821
4-9-5.49
89,3°
—
— 67,38 47,35
99,14
198,28
27,34
8 831
2.5.883
—
—
97,i7 —
—
94, 1
188, 2
16,35 i°5,47
8 837
4-47-47
i,94
— —
183,13
8 839
2.9.491
—
—
io 9,39 94, 1
97,3i
162,59
191,15
—
8 849
16.7.79
65,68
93, r o
101,26
—
113,28
199,29
41,32
30,56
8 861
4-5-443
5,94
—
—
—
121,34
193,19
—
—
8 863
2.3.7. 211
—
— .
95, 9
94, 3 l8 8, 2
—
—
76,21
8 867
2. 11. 13.31
—
57,53
—
—
—
—
— 123,43
8 887
2.3.1481
—
U7,49
62,41 185, 7
—
72,23 —
8 893
4.9I3.I9
53,78
—
—
89,18 178,12
—
—
— 146,36
8 923
2.3.1487
—
61,51
—
80,29167,17
—
—
— —
8 929
32.9.31
73,6o
91,18
127,60
71,36142,24143,48
189, i
89,12
8 933
4.7. 11. 29
47,82
--
_ ; _ 1 _
29,34189, 1
8 941
4-3-5-I49
29,90
—
--
79,30158,20111,26
203,33
87,14 5,57
8 951
2.25.179
—
—
101,25
!
166,61
I93,i7
— i —
8 963
2.4481
—
39,6i
,
— i59,3i
8 969
8.19.59
35,88
63,5°
131,64
1
157,56
191,11
59,28 51,55
8 971
2.3-5- I 3- 2 3
—
77,39
—
92,13 53,35 96, 7
192,14
86, 15,
8 999
2. 11. 409
—
—
107,35
— i — 98,11
196,22
68,25189, 5
9 001
8.9.125
51,80
17,66
99,20
77,32 i73, I 5 I °9,24
207,37
—
155,33
9 007
2.3.19.79
—
—
95, 3
70,37 181,11
—
—
—
i7,57
9 011
2-5.I7-53
—
8i,35
—
— —
104,19
208,38
94, 5
—
9 013
4-3-75 1
1
87,38
—
—
61,42
122,28
—
—
75,22
139,39
QUADRATIC PARTITIONS.
29
p
p-1
a b
c d 1 e f
■A B
L M
x J
X Y
t u
v w
9 029
4.37.61
95, 2
- -
—
—
107,22 211,41
—
!7i,25
9 041
16.5. 113
95, 4
93, r 4io3,28
— -
—
H9,3 2
197,23
79,20
— ■
9 043
2.3,11.137
—
95, 3 —
76,33 I 5 2 ,22
—
—
—
64,54
9 049
8.3.13.29
93,2o
43,60101,24
91,16139,25
187,72201,29
—
—
9 059
2.7.647
—
9,67
, —
—
—
I 52,53 I 9i, 7
22,35
—
9 067
2.3.1511
— ■
83,33
—
88,21
176,14
—
—
38,33
23,57
9 091
2.9.5. 101
—
7i,45
—
4,55
169,17
96, 5
192,10
—
25,57
9103
2-3-37-4I
—
— ■
IQ 5,3i
26,53
!85, 9
—
—
—
' —
9 109
4.9.11.23
55,78
—
—
i9,54 38,36
i47,5o J 9!, 3
53,30119,45
9 127
2. 27. 13.13
—
—
I2 5,57
5o,47
191, 1
—
—
—
—
9 133
4.3.761
93,22
—
— .
95, 6
190, 4
—
—
—
89,51
9 137
16.571
71,64
87,28
io7,34
—
—
—
—
95, 4
—
9 151
2.3.25.61
—
—
103,27
74,35
i79,i3
174,65 197,21
24,35
—
9 157
4.3.7.109
79,54
—
— ■
53,46
85,33
— —
83,18
!57,33
9161
8.5.229
85,44
93,i6
119,50
—
—
131,40193,11
—
138,40
9 173
4.2293
73,62
9 181
4.27.5.17
91,30
—
—
4i,5o I9 1 , 3
199,78207,35
33,34
—
9 187
2 -3- I 53 l
—
95, 9
— -
68,39136,26
— ' —
— —
9 199
2.9.7.73
—
—
129,61
94,11
6i,35
98, 9196,1864,27164,30
9 203
2.43.107
—
15,67
_____
9 209
8.1151
53,8o
39,62
97,10
— -
—
203,80209,3761,28 —
9 221
4.5.461
95, 14
101,14202,2867,26153,35
9 227
2.7.659
—
93,i7
—
—
—
— i — ■
50,31192, 2
9 239
2.31-149
—
—
r 33, 6 5
—
—
178,67199,23
— —
9 241
8.3.5. 7. 11
5,96
23,66
113,42
83,28
i,37
211,84213,41
13,36 35,57
9 257
8.13.89
59,76
3,68
103,26
—
—
—
—
— —
9 277
4-3-773
21,94
—
—
23,54
46,36
—
—
95, 6 37,57
9 281
64.5.29
95,i6
33,64
97, 8
—
—
151,52193, 5
— —
9 283
2-3-7-I3-I7
—
79,39
—
80,31
!3,37
— i —
90,13 —
9 293
4.23.101
77,58
— —
89,14126,44
9 311
2.5.49.19
—
—
97, 7
—
—
146,49193, 1
92,11
63,55
9 319
2-3-1553
—
—
101,21
46,49
i93, 1
182,69 201,25
88,15
—
9 323
2.59.79
75,43
—
9 337
8.3.389
11,96
25.66
97, 6
35,52
121,29
—
—
—
193, 3
9 3411
4.5.467
85,46
—
—
—
—
169,62197,17
—
—
9 343
2.27.173
—
—
105,29
94,i3
!33, 2 7
— ! —
—
191, 9
9 349
4.3.19.41
95,i8
—
—
43,5°
107,3!
123,34199,21
93, IQ
—
9 371?
2-5-937
—
93**9
—
—
—
104,17208,34
—
—
9 377
32.293
79,56
63,52
97, 4
—
—
—
47,32
162,32
9 391
2-3-5-3I3
97, 3
62,43
67,35
186,71
203,27
96, 5
1
—
30
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
x j\
X Y
t u
V \v
9 397
4.81.29
71,66
—
1
77.34
25.37
—
— : —
43,57
9 403
2.3.1567
—
85.33
—
40,51
80,34
—
— 94. 9
181,21
9 413
4.13. 181
97. 2
—
9 419
2.17.277
— 21,67
—
—
—
112,25
211,3786,17
120,46
9 421
43-5- I 57
45.86
—
—
97. 2
9i,33
129,38
197,15 —
190,12
9 431
2.5.23.41
—
—
109,35
—
106,19
212,3852,31
180,22
9 433
89.131
93,2891,24
111,38
5.56
I73.I7
—
— 19,36
—
9 437
4-7-337
9 J .34
—
—
97, 2
—
9 439
2.3.121.13
—
—
121,51
58,45
116,30
122,33
201,23
—
145.39
9 461
4-5- JI -43
25.94
—
—
—
109,22
217.43
37,34
90.52
9 463
2.3.19.83
—
—
99.13
7o,39
140,26
—
—
76,54
9 467
2-4733
—
45.6i
—
—
9 473! 256.37
97. 815,68
131,62
—
—
—
- 95, 8
—
9 479 2.7.677
— —
101,19
—
—
98, 5
196,1076,23
—
9 491 2.5.13.73
- ,87.31
—
—
—
164,59
I97.I3 —
192,10
9 497:8.ii87
61,7675.44
133.64
—
—
—
— ;• —
H7.47
9 511
2.3-5-3I7
— f —
123,53
94,i5
188,10
194,75
207,31 —
—
9 521
16.5.7-17
89.4057.56
137.68
—
—
121,32
203,2597, 4
—
9 533
4.2383
53.82 —
9 539
2.19.251
— 33.65
—
—
—
128,37
i99,!7
—
—
9 547
2 3-37-43
—
5.69
92,19
35.37
—
—
—
—
9 551
2.25. 191
—
—
103,23
—
—
i34,4i
197,11
—
177.25
9 587
2-4793
— 63,53
2,37
—
9 601
128.3.25 95,2449,60
99,10
97. 8
73,35
159,56
197, 9
23,36
127,45
9 613 4.27.89
3.98
—
—
95.U
137.27
—
—
39,34
—
9 619 2.3.7.229
—
41,63
—
88,25
163,21
168,61
i99,i5
6,37
80,54
9 623
2.17.283
—
—
101,17
—
—
—
—
171,29
9 629
4.29.83
5.98
—
—
—
—
103,14
206,28
79,22
15.59
9 631
2.9.5.107
—
—
127,57
98, 3
196, 2
206,81
2i3,37
—
—
9 643
2.3.1607
—
11,69
—
64.43
i93, 7
—
—
54,3i
—
9 649
16.9.67
57.8o
71,48
107,30
89,24
178,16
127,36
201,19
—
—
9 661
4-3-5-7-23
69,70
—
—
73.38
4i.37
119,30
207,29
97, 6
175.27
9 677
4.41.59
29,94
9 679
2.3.1613
—
129,59
98, 5
,113.31
222,89
|2i9,43
—
—
9 689
8-7-173
35.92
21,68
101,16
—
—
i33,4o
|i99, 1 3
83,20
159.35
9 697
' 3 2 -3- 101
81,56
97,12
115.42
17.56
185,13
—
—
25.36
—
9 719
| 2.43.1 13
—
—
l^ 1 * 61
—
118,29
209,31
—
—
9 721
8-243-5
'75.64
89.30
123.52
53,48
106,32
99, 4
198, 8
—
—
9 733
4-3-8ii
97,18
—
—
91,22
157.23
—
—
H9.39
9 739
2.9.541
91,27
—
44, 5 1
88,34
172,63
201,17
1
46,33
I9M5
QUADRATIC PARTITIONS.
31
p
p — 1 a be d
e f
A B
L M
x J
X Y
t u
v w
9 743
2.4871 ! — | —
H9,47
—
9 749
4-2437 55, 82 —
—
—
—
163,58
199,11
— 186.20
9 767 2.19.257 107,29
—
—
—
88,17! -
9 769 8.3.1 1.37 145,8879,42
99, 419,56
149-25
117,28
211, 335^32 185,21
9 781
4-3-5. l6 3 4i,9o
—
— •
67,42
134,28
99, 2
198, 4
59,3°
9 787
2.3.7.233 —
43,63
92,21
184,14
—
—
78,23
—
9 791
2. 5. 11. 89 [ —
— |i37 5 67
—
—
106,17
212,34
—
108,50
9 803
2. 13.13.29 —
99, 1 —
—
—
—
—
—
—
9 811
2.9.5.109 —
17,69 —
8,57
16,38
116,27
2i3,35
82,21
—
9 817
8.3.409 99, 4
85,36117,4477,36
*54,24
—
—
—
118,48
9 829
4.27.7.13 J 5,98
_ 1
59*46
79,35
107,18
214,36
99, 2
—
9 833'8.i22 9 37,92
99, 4109,32
9 839- 2.4919
—
. —
121,49
—
—
158,55
i99, 7
J6,37
I95* 1 *
9 8511 2.25.197
—
99, 5
—
—
—
176,65
203,19
74,25
—
9 857 128.7. 11 89,44
75,46
127,56
—
—
—
97, 8
123,47
9 859 2.3.31.53 —
97,i5
— 28,551193, 9
108,19
216,38
—
J 3!,45
9 8711 2.3.5.7.47 : —
—
*". 35 38,53 J 97, 5
114,25
217,39 36,35
172,30
9 883 2. 81. 61 —
19,69
— 176,37
187,13
—
—
—
I 5 I ,39
9 887! 2.4943 —
—
103,19; —
—
—
—
—
93,53
9 901 4-9-25- 11 99, IQ
—
— 49,5° IOI > 33
111,22
222,44
—
2,60
9 907 2.3.13.127' —
95,2i
—
52,49199, 1
—
—
i8,37
—
9923 2. 121. 41
81,41
86,19
189,19
9 929 8.17.73
85,52
99, 8
119,46
—
—
197,76211,31
—
—
9 931 2.3.5.331
—
83,39
—
88,27
176,18
124,33207,25
—
i93,i5
9 941 4.5-7.71
71,70
—
—
—
—
131,38
203,17
43,34
—
9 949 4-3-829 '
43,90
—
—
89,26
167,21
137,42
201,11
81,22
14,60
9967 2.3.11.151
—
—
105,23
98,11
131,29
—
—
—
167,33
9 973 4-9-277
57,82
—
—
35,54
70,36
—
—
—
—
10 007 2.5003
—
—
I2 5,53
—
—
—
—
—
10 009 | 8.9.139
3,100
53,6o
111,3491,24
182,16
—
—
10 037^ 4-i3-i93
89,46
1
10 039 2.3.7:239
—
—
101, 9
74,39
148,26
—
10 06l|4-5-5°3
35,94
—
—
—
—
—
10 067, 2.7.719
—
33,67
—
10 069 4-3-839
87,50
—
—
61,46
i99, 5
—
10 079 2.5039
—
—
127,55
—
—
—
10 091 2.5.1009
—
3,7i
—
—
—
10 093 4-3-29.29
93,38
—
—
1,58
175^9
—
—
—
—
10099 2.27. 11. 17
—
89,33
—
32,55
133,29
—
10103
2-5051
—
—
101, 7
—
—
—
—
32
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B j L M
10111
2.3-5-337
—
—
119, 45
98, 13
59, 37
10 188
4.17. 149
! 23, 98
—
—
—
—
10 189
2.37-I37
— ■
99, 13
—
—
—
10141
4-3-5- I 3- I 3
85 ? 54
—
—
7, 58
181, 17
10151
2.25.7.29
—
—
101, 5
—
—
10159
2.3.1693
—
—
103, 15
94, 21
188, 14
10 163
2.5081
—
9, 7i
—
—
—
10169
8.31. 41
13,100
69, 52
101, 4
—
—
10177
64.3.53
31, 96
95, 24113, 36
97, 16
i45, 27
10181
4-5-5°9
95, 34
—
—
—
10 193
16.49.13
97, 28
99, 14
IOI, 2
—
—
10 211
2.5.1021
—
57, 59
—
—
J 223
2.19.269
—
—
121, 47
—
—
10 243
2.9.569
—
7i, 51
100, 9
200, 6
10 247
2.47.109
—
!*33, 61
—
—
10 253
4 11.233
83, 58
—
• —
10 259
2.23.223
—
81, 43 —
—
—
10 267
2-3-29-59
—
85, 39; —
88, 29
J, 39
10 271
2.5*3-79
—
— io 3, J 3
—
—
10 273
32.3.107
87, 52
101, 6111, 32
89, 28
5, 39
10 289
16.643
17,100
51, 62
II 9 , 44
—
10 301
4.25.103
101, 10
—
—
—
10 303
2.3. 17.101
—
—
105, T 9
50, 5 1
TOO, 34
10 313
8.1289
43, 92
99, 16 109, 28
—
10 321
16.3-5-43
95> 3^
67, 54io3, 12
47, 5 2
!Q9, 33
10 331
2.5-i°33
—
93, 29
—
10 333
4.9.7.41
27, 98
—
71; 42
142, 28
10 337
32.17.19
79, 64
S3, 68 115, 38
—
—
10 343
2.5171
—
—
139, 67
—
—
10 357
4.3.863
39, 94
—
83, 34
19, 39
10 369
128.81
63, 80
1, 72
129, 56
3i, 56
J 37, 29
10 391
2.5 1039
—
—
IO7, 23
—
—
10 399
2.3-1733
—
—
in, 3 1
82, 35
23^ 39
10 427
2. 13.401
—
75, 49
—
—
—
10 429
4.3.11.79
5,102
—
—
4i, 54
82, 36
10 433
64.163
97, 32
81, 44
131, 58
—
—
10 453
4-3-I3-67
7,102
-
—
19, 58
193, !3
10 457
8.1307
101, 16
87, 38
113, 34
—
—
10 459
2.9 7 83
—
9i, 33
—
4, 59
173, 21
10 463
1
2.5231
—
—
119, 43
—
—
QUADRATIC PARTITIONS.
33
p
P -l
a be d
e f
A B
L M
10 477
4.27.97
99, 26
— —
95, 22 29, 39
10 487
2.49.107
— ■
— i*5. 37
—
—
10 499
2.29. 181
—
39, 67 —
—
—
10 501
4-3- I2 5-7
49, 9°
— —
101, 10 71, 37
10 513
16.9.73
73, 72
89, 3 6lo 5, l6
49, 52205, 1
10 529
32-7-47
23,100
27, 70109, 26
—
—
10 531
2.81.5. 13
—
73, 5 1
—
28, 57
56, 3^
10 559
2.5279
—
—
103, 5
—
—
10 567
2.9.587
—
—
107, 21
58, 49205, 3
10 589
4.2647
85, 58
—
—
—
—
10 597
4.3.883
79, 66
—
43, 54
86, 36
10 601
8.25.53
101, 20
99, 20
103, 2
—
—
10 607
2.53 3
—
—
103, 1
—
—
10 613
4-7-379
103, 2
—
—
—
—
10 627
2. 3.7. 11. 23
—
103, 3
— •
88, 31
181, 19
10 631
2.5.1063
—
—
109, 25
—
—
10 639
2.27.197
—
—
in, 29
14, 59/91, 15
10 651
2.3.25.71
— ioi, 15
—
92, 27184, 18
10 657
32.9.37
81, 64 17, 72
i45, 72
103, 4ii5, 33
10 663
2.3.1777
—
—
I3 1 , 57
86, 33172, 22
10 667
2-5333
—
3, 73
—
—
—
10 687
2-3- I 3-^37
—
—
105, 13
98, 19
4i, 39
10 691
2.5.1069
—
57, 61
. —
—
10 709
4.2677
103, 10
—
—
10 711
2.9.5.7.17
—
—
123, 47
94, 25
169, 23
10 723
2.3.1787
—
65, 57
—
64, 47
77, 37
10 729
8.9.149
27,100 19, 72
109, 24
77, 4o
43, 39
10 733
4.2683
8 3 , 62
—
—
—
10 739
2-7-13-59
9, 73
—
—
—
10 753
5J2-3-7
103, 12 85, 42
in, 28
95, 24
190, 16
10 771
2-3-5-359
— io 3, 9
—
32, 57
64, 3^
10 781
4.5.49. 1 1
9i, 5 | —
—
—
—
10 789
4.3-29-31
95, 42
—
101, 14
143, 29
10 799
2-5399
—
—
119, 41
—
—
10 831
2.3.5.19.19
—
—
i37, 63
82, 37
i93, J 5
10 837
4-9-7-43
89, 54
—
67, 46
205, 7
10 847
2. 11. 17. 29
— —
113, 3 1
—
—
10 853
4-2713
97, 38
—
—
—
10 859
2.61.89
—
99, 23
—
—
—
10 861
4.3.5.181
45, 94
—
97, 22
163, 25
34
QUADRATIC PARTITIONS.
-*
p
p-1
a b
c d
e f
A B
L M
10 867
2.3.1811
—
97, 27
— ;ioo, 17 49, 39
10 883
2.5441
—
15, 73
— —
—
10 889
8.1361
67, 80
33, 7o
*$h 56 —
—
10 891
2. 9.5. 121
—
37, 69
— !io 4 , 5 119, 33
10 903
2.3- 2 3 ? 79
—
—
141, 67 34, 571 68, 38
10 909
4.27. 101
53, 90
—
— 103, 10133, 31
10 937
8.1367
11,104
57, 62
107, 16 — —
10 939
2.3.1823
—
83, 45
— 56, 5 1 II2 , 34
10 949
4.7.17.23
65, 82
—
— — —
10 957
4.3.11.83
99, 34
—
— 47, 54 94, 36
10 973
4.13.211
37, 98
—
—
10 979
2. 11. 499
—
81, 47
—
—
—
10 987
2.3.1831
—
67, 57
—
92, 29179, 21
10 993
16.3.229
57, 88
25, 72
105, 4 89, 32
11003
2-55 01
—
45, 67
—
—
—
11027
2.37.149
—
105, 1
—
—
—
11047
2.3.7.263
—
—
115, 33 62, 4
11057
16.691
89, 56
105, 4
107, 14
— —
11059
2.3.19.97
—
103, 15
—
104, 9208, 6
11069
4.2767
85, 62
—
—
— —
11071
2.27.5.41
—
—
in, 25
86, 351911 17
11 083
2.3.1847
—
101, 21
—
100, 19 157, 27
11087
2.23.241
—
—
113, 29
—
—
11093
4-47-59
103, 22
—
—
—
—
11 113
8.3-463
77, 72
49, 66
121, 42
85, 36
170, 24
11117
4-7 397
61, 86
—
—
—
—
11119
2.3.17-109
—
—
119, 39
26, 59
203, 11
11 131
2.3-5-7-53
—
77, 5 1
—
52, 53
107, 35
11149
4.3.929
93, 5°
—
—
49, 54
98, 36
11159
2.7.797
—
109, 19
—
—
11161
8.9.5.31
69, 80
73, 54
107, 12
19, 60
38, 40
11171
2.5.1117
—
33, 7 1
1
—
—
11 173
4.3.49 19
97, 42
—
—
101, 18
202, 12
11 177
8. 1 1. 1 27
19,104
15, 74
115, 32
—
—
11197
4.9.311
9 1 , 54
—
103, 14
61, 39
11213
42803
67, 82
—
—
—
1123S
► 2.3.1873
—
—
117, 35
106, 1
109, 35
1124S
2.7-II-73
—
75, 53
—
—
11251
2.9.625
—
1, 75
1
68, 47
209, 7
11 253
8.3.7.67
21,104
103, i£
1
123, 44
43, 56
125, 33
QUADRATIC PARTITIONS.
35
p
p-i
a b
c d
e f
A B
L M
11 261 4-5-563
5,106
— ,
—
11273 8.1409
53, 9 2
45, 68
"9j 3 8
—
—
11279 2.5639
—
—
121, 41
—
11287: 2. 27. 11. 19
—
1 —
107, 9
82, 39
164, 26
11299 2.3.7.269
—
7, 75
—
64, 49
2 n, 5
11 311| 2.3.5.13.29
—
—
113, 2 7
106, 5
9i, 37
11317I4-3-23-4I
9,106
—
—
35, 58
139, 3i
11 321| 8 5.283
85, 64
39, 7o
107, 8
—
~
11 329; 64.3.59
95, 48
3 1 , 72
*$h 54
23, 60
46, 40
11351
2.25.227
—
—
107, 7
—
—
11353
8.3.11.43
93, 5 2
101, 24
in, 22
9i, 3 2
5, 4i
11369
8.49.29
37,100
99, 28
109, 16
—
—
11383
2.3.7.271
— -
—
139, 63106,
I2 7, 33
11393
128.89
103, 28
21, 74
125, 46
—
—
11399
2.41-139
—
—
107, 5
—
—
11411
2.5.7.163
—
63, 61
—
—
—
11423 2.5711
—
—
"9, 37
—
—
11 437j 4-3-953
5 1 , 94
—
—
97, 26
19, 41
11 443 2.3.1907
—
79, 5 1
—
80, 41
2 °3, I 3
11447
2.59.97
—
—
107, 1
—
—
11467
2.9.49.13
—
107, 3
—
3 2 , 59
209, 9
11471
2 -5-3!-37
—
—
143, 67
—
—
11483J 2.5741
—
99, 29
—
—
—
11489 32.359
55, 92
69, 58
109, 14
—
—
11491 2.3.5.383
—
103, 21
—
104, 15
208, 10
11 497 8.3.479
101, 36
83, 48
r 35, 58
107, 4
95, 37
11503 2.81. 71
—
—
i45, 69
86, 37
25, 4i
11 519j 2.13.443
—
—
113, 25
—
—
11 527! 2. 3.17. 113
—
—
i47, 7i
7°, 47
7i, 39
11549
4.2887
107, 10
—
—
—
—
11551
2.3.25. 7.11
—
—
151, 75
74, 45
148, 30
11579 2.7.827
—
Sh 67
—
—
—
11 587| 2.3.1931
—
97, 33
—
100, 23
3h 4i
11 593 8.9.7.23
107, 12
35, 72
109, 12
59, 5 2
97, 37
11 597,4.13.223
19,106
—
—
—
11 617| 32.3.121
49, 96
95, 36
113, 24
47, 56
215, 3
11 621 4-5-7-83
65, 86
—
—
—
—
11633 16.727
103, 32
9, 76
139, 62
—
—
11657 8.31.47
29,104
63, 62
115, 28
—
—
11677
4-3-7-139
21,106
—
—
73, 46
211, 9
36
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
L M
11681
32.5-73
41,100
27, 74
109, 10
—
11689
8.3.487
5>i°8
67, 60
141, 64
83, 40
37, 4i
11699
2.5849
—
57, 65
—
—
—
11701
4.9.25.13
105, 26
—
—
13, 62
173, 25
11 717
4.29. 101
79, 74
—
—
—
—
11719
2.27.7.31
—
—
109, 9
94, 3i
187, 21
11 731
2-3-5- I 7- 2 3
—
47, 69
—
92, 33
184, 22
11743
2.3.19.103
—
—
in, 17
106, 13
145, 3 1
11777
512.23
31,104
15, 76
145, 68
—
—
11 779
1
9,3.1^152
—
23, 75
—
52, 55
217, 1
11783
2.43- J 37
—
—
109, 7
—
—
11789
4.7.421
83, 7o
—
—
- —
11801
8.25.59
101, 40 87, 46
113, 22
—
—
11807
2-59°3
— — ,
137, 59
—
—
11813
4.2953
47, 98: —
—
—
—
11821
4-3-S-I97
61, 90
—
17, 62
203, 15
11827
2.81.73
—
73, 57
—
68, 49
79, 39
11831
2.5-7.i3- I 3
—
—
i°9, 5
-
—
11 833
8.3.17.29
13,108
85, 48
149, 72
62, 52
217, 3
11839
2.3-!973
—
—
129, 49
26, 61
i57, 29
11863
2.9.659
—
—
109, 3
46, 57
92, 38
11867
2.17.349
—
3, 77
—
—
—
11 887
2.3.7.283
—
—
113, 21
38, 59
215, 7
11897
8.1487
109, a\ 75, 5 6
127, 46
—
—
11903
2. 11. 541
— —
222, 37
—
—
11909
4.13.229
97, 5o
—
—
—
11 923
2.3.1987
—
49, 6 9
—
4, 63
8, 42
11927
2.67.89
—
—
125, 43
—
-—
11933
4.29.257
107, 22
—
—
—
—
11939
2.47.127
—
9, 77
—
—
—
11941
4.3-5- x 99
95, 54
—
—
43, 58
217, 5
11 953
16.9.83
17,108
109, 6
135, 56
t 7i, 48
142, 32
11959
2.3-!993
—
—
231. 5 1
1 86, 39
172, 26
11969
64. 1 1. 1 7
65, 88
81, 52
113, 20
—
—
11971
2.9.5.7.19
—
89, 45
—
8, 63
16, 42
11981
4-5-599
109, 10
—
—
—
—
11987
2.13461
—
87, 47
—
—
—
12 007
2.9.23.29
—
—
117, 29
10, 63
20, 42
12 011
2.5. 1201
—
93, 4i
—
—
—
12 037
4-3-17-59
81, 74
—
—
107, 14
149, 3 1
QUADRATIC PARTITIONS.
37
V
p-1
a b
c a
e f
A B
L M
12 041 8.5.7.43
35> IQ 4 ! 33, 74
! i37, 58
—
12 043; 2.27.223
— ! io 9, 9
40, 59
137, 33
12 049 16.3.25 1
105, 32 41, 72
121, 36
79, 44
53, 4i
12 071
2.5.17.71
!33, 53
12 073
8-3-503
83> 72 79, 54
115, 24
109, 8
85, 39
12 097 64.27.7
71, 84107, 18
125, 42
95, 32
191, 21
12101 4-25.121
1,110 —
—
12 107 2.6053
— ! 45, 7i
—
—
12109
4.3.1009
3, IIQ
—
—
97, 30
194, 20
12 113
16.757
97, 52
99, 34
119, 32
—
—
12 119
2-73-83
—
—
149, 7i
—
—
12 143
2.13.467
—
—
i$h 73
—
—
12 149
4.3037
7,110
—
—
—
—
12 157
4-3-1013
69, 86
—
—
25, 62
161, 29
12161
128.5. 19
95, 56
^3, 64
*$h 5°
—
—
12163
2.3.2027
—
65, 63
—
16, 63
32, 42
12 197
4.3049
31,106
—
—
—
—
12 203
2.6101
—
69, 61
—
—
—
12 211
2-3-5- ri -37
—
31, 75
—
56, 55
109, 37
12 227
2.6113
—
57, 67
—
12 239
2. 29. 211
—
—
IT 9, 3i
—
—
12 241
16.9.5.17
55, 96
71, 60
123, 38
73, 48
146, 32
12 251
2.125.49
—
99, 35
—
—
—
12 253
4.3.1021
43,102
—
—
89, 3^
203, 17
12 263
2.6131
—
—
125, 41
—
—
12 269
4.3067
13,110
—
—
—
—
12 277
4.9.11.31
89, 66
—
—
77, 46
61, 41
12 281
8-5-307
109, 20
27, 76
133, 52
—
—
12 289
4096.3
25,108
11, 78
in, 4
1, 64
193, 21
12 301
4.3.25.41
99, 5°
—
—
47, 58
127, 35
12 323
2.61. 101
—
in, 1
—
—
—
12 329
8.23.67
77, 80
in, 2
121, 34
—
—
12 343
2.3.121.17
—
—
115, 21
no, 9
220, 6
12 347
2.6173
—
93, 43
—
—
—
12 373
4-3-1031
103, 42
—
— .
29, 62
215, 11
12 377
8.7. 13.17
91, 64
105, 26
113, *4
—
—
12 379
2.3.2063
—
101, 33
—
44, 59
221, 5
12 391
2.3-5-7.59
—
—
123, 37
22, 63
44, 42
12 401
16.25.31
49,100
5i, 7o
149, 70
—
—
12 409
8.3.11.47
85, 72
103, 30
129, 46
11, 64
181, 25
38
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e £
A B
L M
12 413
4.29.107
53, 98
—
—
—
12 421
4.27.5.23
in, 10
—
—
107, 18214, I2
12 433
16.3.7-37
63, 92
61, 66
i5 J , 72
55, 56 113, 37
12 437
4.3109
71, 86
—
—
—
—
12 451
2.3-25-83
—
97, 39
—
52, 57 104, 38
12 457
8.9.173
109, 24
17, 78
153, 74
13, 64205, 17
12 473
8i559
107, 32
39, 74
155, 76
—
—
12 479
2.17.367
—
119, 29
—
—
12 487
2.3.2081
—
—
133, 5 1
98, 31
5, 43
12 491
2.5.1249
—
3, 79
—
—
—
12 497
16.11,71
41,104
57, 68
i37, 56
—
—
12 503
2.7.19.47
—
—
115, l 9
—
—
12 511
2.9.5.139
—
—
143, 63
94, 35
11, 43
12 517
4.3.7.149
in, 14
—
—
85, 42 170, 28
12 527
2.6263
—
—
113, "
—
—
12 539
2.6269
—
99, 37
—
—
—
12 541
4.3.5. 11. 19
21,110
—
—
71, 50221, 7
12 547
2. 9.17. 41
—
55, 69
—
112, 1 115, 37
12 553
8.3-5 2 3
3,ii2
95, 42
131, 48
101, 28
17, 43
12 569
8.1571
5, 112
87, 5°
113, 10
—
—
12 577
32.3-131
in, 16
47, 72
115, 18
17, 64
175, 27
12 583
2.27.233
—
—
I2 5, 39
26, 63
52, 42
12 589
4.3.1049
67, 90
—
—
79, 46
217, 11
12 601
8.9.25.7
51,100
107, 24
127, 42
67, 52
223, 5
12 611
2.5-I3-97
—
81, 55
—
—
12 613
4.3.1051
47,102
—
—
9i, 38
2 3' 43
12 619
2.9.701
—
37, 75
—
112, 5
97, 39
12 637
4-243- J 3
91, 66
—
—
103, 26
25, 43
12 641
32-5-79
79, 80
33, 76
113, 8
—
—
12 647
2.6323
—
115, J 7
—
—
12 653
4-3163
77, 82
—
—
—
—
12 659
2.6329
—
in, 13
—
—
—
12 671
2.5.7.181
—
113, 7
—
—
12 689
16.13. 61
65, 92
99, 38
i33, 5°
—
—
12 697
8.3-23.23
59, 96
23, 78
113, 6
^3, 44
215, 13
12 703
2.3.29.73
— •
—
119, 27
7o, 5i
140, 34
12 713
8.7.227
13,112
in, 14
115, 16
—
—
12 721
I6.3.5-53
in, 20
83, 54
117, 22
89, 40
3i, 43
12 739
2.3.11.193
—
79, 57
—
8, 65
203, 19
12 743
2.23.277
—
—
i$h 47
—
—
QUADRATIC PARTITIONS.
39
V
p-1
a b
c d
e f
A B
L M
12 757 ! 4-3- Io6 3
39,106
—
35, 62221, 9
12 763 2.9.709
—
109, 21
—
40, 61 223, 7
12 781 4.9-5-7 1
109, 30
—
—
IJ 3, 2119, 37
12 791, 2.5.1279
—
■ — ■
i57, 77
— —
12 799 2.81.79
—
T 59, 79
82, 45*64, 30
12 809 8.1601
53, IO °
3, 80
119, 26
—
—
32 821 4-5- 6 4i
89, 70
—
—
—
—
12 823 2.3.2137
—
—
r 39, 57
Io6 , 23 37, 43
12 829 4.3.1069
27,110
—
—
73, 5°i 77, 4i
12 841 8.3.5.107
45, io 4
113, 6
121, 30
77, 48 ( i54, 32
12 853 4-27-7-T7
57, 98
—
109, 18218, 12
12 889 8.9.179
35,^8
91, 48
117, 20
59, 56227, 1
12 893 4- 1 1.293
107, 38
—
—
—
—
12 899 2.6449
in, 17
—
—
—
12 907 2.27.239
107, 27
—
112, 11
79, 4i
12 911 2.5.1291
—
119, 25
—
—
12 917 4.3229
41,106
—
—
—
—
12 919 2.3.2153
—
—
141, 59
62, 55 103, 39
12 923 2. 7. 13.71
—
21, 79
—
—
—
12 941:4.5.647
29,110
—
—
—
—
12 953 8.1619
67, 92
69, 64
149, 68
—
—
12 959 2. 11. 19.31
—
—
121, 29
—
—
12 967 2.3.2161
—
—
117, 19
no, 17
161, 31
12 973 4.3.23.47
83, 78
—
—
65, 54
13°, 36
12 979 2.9.7.103
—
7i, 63
—
76, 49
223, 9
12 983 2.6491
—
_
115, Ir
—
—
13 001 8.1 25.13
85, 76
99, 40
I5 1 , 7o
—
—
13 003 2.3.1 1. 197
—
59, 69
—
104, 27
208, 18
13 007: 2.7.929
—
—
143, 6l
— -
—
13 009 16.3.27 1
97, 60
29, 78
119, 24
47, 60
94, 40
13 033! 8.9. 181
37,io8
109, 24
125, 36
85, 44
47, 43
13 037j 43259
109, 34
—
—
—
—
13 043' 2.652 1
—
in, 19
—
—
—
13 049 8.7.233
107, 40
57, 7o
J 39, 56
—
—
13063:2.3.7.311
—
—
IJ 5, 9
34, 63
68, 42
13 093
4.3.1091
113, 18
—
—
5, 66
10, 44
13 099
2.3.37.59
—
43, 75
—
44, 61
i39, 35
13 103
2.6551
—
—
119, 23
—
—
13 109
4.29-113
103, 5°
—
—
—
—
13 121
64.5.41
95> 6 4
in, 20
161, 80
—
40
QUADRATIC PARTITIONS.
p
"p-1
a b
c die f 1 A B
L M
13 127
2.6563
—
—
115, 7
—
—
13147
2-3-7-3 I 3
—
5, 81
—
52, 59
125, 37
13151
2.25.263
—
—
i37, 53
—
—
13159
2.9.17.43
—
—
147, 65
22, 65
173, 2 9
13163
2.6581
—
99, 4i
—
—
—
13171
2-3-5-439
—
7, 81
—
64, 55
229, 3
13177
8.27.61
109, 36
53, 72
117, 16
107, 24
214, 16
13183
2.3- I 3- I 3- I 3
—
—
121, 27
no, 19
53, 43
13 187
2.19.347
—
87, 53
—
—
—
13 217
32.7-59
49,104
63, 68
115, 2
—
—
13 219
2.3.2203
—
113, 15
—
112, 15
224, 10
13 229
4-33°7
ii5, 2
—
—
—
—
13 241
8-5-331
U5» 4
21, 80
127, 38
—
—
13 249
64.9.23
57>!°°
107, 30
143, 60
31, 6 4
223, 11
13 259
2.7.947
—
51, 73
—
—
—
13 267
2.9.11.67
—
73, 63
—
100, 33
200, 22
13 291
2.3-5-443
—
13, 81
—
88, 43
217, 15
13 297
16.3.277
79, 84
115, 6
117, 14
97, 36
194, 24
13 309
4.3. 1 109
85, 78
—
—
103, 3°
206, 20
13 313
1024.13
103, 52
75, 62
125, 34
—
—
13 327
2.3.2221
—
—
153, 7i
7°, 53
89, 4i
13 331
2-5-3I-43
—
57, 7i
—
—
—
13 337
8.1667
101, 56
105, 34
145, 62
—
—
13 339
2.27. 13.19
—
109, 27
—
104, 29
191, 25
13 367
2.41. 163
—
—
i55, 73
—
—
13 381
4.3-5-223
95, 66
—
—
43, 62
i43, 35
13 397
4.17.197
89, 74
—
—
—
—
13 399
2. 3.7. 11. 29
—
—
i57, 75
94, 39
188, 26
13 411
2.9.5.149
—
17, 81
—
112, 17
61, 43
13 417
8.3-I3-43
5i»i°4
113, 18
147, 64
115, 8
91, 4i
13 421
4.5. 11. 61
115, J 4
—
—
—
—
13 441
1283.5.7
65, 96
: 79, 60
129, 40
73, 52
229, 7
13 451
2.25.269
—
93, 49
—
—
13 457
16.29.29
1,116
3, 82
i33, 46
—
—
13 463
2.53.127
—
—
131, 43
—
—
13 469
4-7-13-37
37,no
—
—
—
—
13 477
4-3- " 23
in, 34
—
107, 26
185, 27
13 487
2. 11. 613
—
—
i43, 59
—
13 499
2.17.397
—
99, 43
—
13 513
8.3.563
43,108
115, 12
119, 18
35, 6 4
157, 33
QUADRATIC PARTITIONS.
41
p
p-1
a b
c d
e f
A B
L M
13 523
2.6761
—
81, 59
—
—
13 537
32.9-47
9,116
37, 78127, 36
113, 16
65, 43
13 553
16. 7. 121
113, 28
51, 74I5 1 , 68
—
—
13 567
2. 3.7. 17.19
—
— i37, 5 1
10, 67
211, 19
13 577
8.1697
11,116
45, 76125, 32
—
—
13 591
2.9.5.151
—
—
117, 7
62, 57
124, 38
13 597
4.3.11.103
69, 94
—
—
23, 66
46, 44
13 613
4.41.83
83, 82
—
—
—
—
13 619
2. 11. 619
—
87, 55
—
—
—
13 627
2-9-757
—
107, 33
—
112, 19
169, 3 1
13 633
64.3-71
33,112
95, 48
13 1 , 42
65, 56
233, 3
13 649
16.853
95, 68
93, 5°
119, 16
—
—
13 669
4.3.17.67
113, 3°
—
—
101, 34
1, 45
13 679
2.7.977
—
—
<27, 35j
—
13 681
16.9.5. 19
15,116
109, 30
117, 2103, 32
7, 45
13 687
2.3.2281
—
—
117, 1 no, 23
179, 29
13 691 2.5.37.37
—
117, 1
—
—
—
13 693
4.3.7.163
117, 2
—
—
25, 66
5°, 44
13 697
128.107
89, 76
117, 2
157, 74
—
—
13 709
4.23.149
115, 22
—
—
—
—
13 711
2.3.5.457
—
—
119, 15
98, 37
13, 45
13 721
8.5.343
61,100
117, 4
143, 58
—
—
13 723
2.3.2287
—
85, 57
—
16, 67
217, 17
13 729
32.3-n.13
105, 52
101, 42
159, 76
89, 44
221, 15
13 751
2. 625. 11
—
149, 65
—
—
13 757
4.19.181
9.*i 74
—
—
—
—
13 759
2.3.2293
—
—
121, 21
106, 29
19, 45
13 763
2.7.983
—
105, 37
—
—
13 781
4-5-J3-53
41,110
—
--
—
13 789
4.9.383
117, 10
—
7i, 54
142, 36
13 799
2.6899
—
—
I3 1 , 41
—
—
13 807
2.9.13.59
—
—
135, 47
58, 59
119, 39
13 829
4-3457
65, 98
—
—
—
—
13 831
2.3.5.461
—
—
141, 55
34, 65
161, 33
13 841
16.5.173
55, IQ 4
87, 56
121, 20
—
—
13 859
2. 13.13. 41
—
9, 83
—
—
—
13 873
16.3.17.17
47,108
115, 18
119, 12
1, 68
203, 23
13 877 4.3469
7*1 94
—
—
—
—
13 879
2.27.257
—
—
123, 25
94, 4i
29, 45
13 883
2. 11. 631
45, 77
G
42
QUADRATIC PARTITIONS.
V
V'
f jA B
L M
13 901! 4.25.139
13903:2.3.7.331
13 907
13 913
13 921
2.17.409
8-37-47
32.3.5.29
13 931 2.5.7.199
13 933 4-81.43
13 963 23.13.179
13 967 2.6983
13 997 4-3499
13 999 2.3.2333
14 009 8. 1 7. 103
14 01l| 2.3 5.467
140294.3.7-I67
14 033 16.877
14 051 2.25.281
14 057 8.7.251
14 071 2.3.5.7.67
14 081 256.5. 1 1
14 083 i 23.2347
14 087 2.7043
14107 2.3.2351
14143 2.3.2357
14 149 4.27. 131
14153 8.29.61
14 159i 2.7079
14173 4.3.1181
14177
14197
14 207
14 221
14 243
14 249
14 251
14 281
14 293
14 303
14 321
14 323
14 327
32-443
4.3-7. x 3 13
2.7103
4-9.5.79
2.7121
8.i3-!37
2.3.125.19
8.3.5-7.I7
4-9-397
2.7151
16.5.179
2. 3.7. 11. 31
2. 13.19.29
115, 26
37, 112
in, 40
3,n8
109, 46
115, 28
57,
105,
113,
117,
29,
69,
67,
129,
73 —
38,139,
241147,
11 —
81 —
37,
74, 53
7, 68
49, 62
116, 13
77, 90 —
97, 68 99,
63,
9i, 76 93,
25,116117,
11
115,
119,
68 149,
69
46.119,
71
52125,
|i2 3 ,
14127,
81
J63,
119,
49
9 Il8 > 5
64 -
92, 43
233, 7
i97, 25
i37, 37
77, 43
103, 41
37, 45
31, 66 62, 44
8 —
15,118 —
107, 52 51, 76
117, 22 ( -
119, 4 27,
119, 6 —
35,n4! —
— in,
115, 32 81,
— 101,
85, 8 4 | 13,
87, 82:
89, 80 39,
— H9>
82
So
9
119,
119,
143,
127,
157,
121,
139,
28 —
23 118,
32 —
|I04,
79 —
J 1 00,
3 26,
107,
2 —
7 i39, 37
33208, 22
I _
37211, 21
67 175, 3 1
30214, 20
56
3 1
14
72
13
5°
i33, 4:
119,
2
125,
39
115,
18
230,
12
113,
22
47.
45
28,
59,
67
60
229,
Il8,
13
40
35,
66
70,
44
116,
17
—
167,
33
QUADRATIC PARTITIONS.
43
p
P -l
a b
c d
e f
A B
L M
14 341 4-3-5- 2 39
79, 9°
— .
—
53, 62
239, 3
14 347' 2.9.797
—
35, 81
—
8, 69
16, 46
14 369 32-449
113. 4o
in, 32 161, 76
—
—
14 387 2.7193
—
105, 4i
—
—
—
14 389 i 4.3- II - I °9
105, 58
—
—
83, 5°
233, 11
14 401' 64.9.25
1,120
17, 84
163, 78
23, 68
227, 15
14 407! 2.3 49.49
— 123, 19
5°, 63
100, 42
14411 2. 5. 11. 131
H7, 19! —
—
—
14 419; 2.81.89
89, 57j -
112, 25
187, 29
14 423 2.721 1
—
— I3 1 * 37
—
—
14431 2.3.5.13.37
— 153, 67
118, 13
i57, 35
14 437 4.9.401
Ill, 46
— —
37, 66
74, 44
14 447J 2.31.233
— 127, 29
—
—
14 449; 16.3.7.43
7,120
119, 12169, 84
7i, 5 6
239, 5
14 461 4.3.5.241
75, 94
— —
119, 10
89, 43
14 479
2.3.19.127
—
— 121, 9
14, 69
28, 46
14 489
8.1811
67,100
117, 20133, 40
—
—
14 503
2.3.2417
—
—
155, 69
106, 33
212, 22
14 519
2.7. 17.61
—
—
139, 49
—
—
14 533
4-3-7-I73
"3. 42
—
101, 38
215, 21
14 537 8.23.79
61,104
33, 82 137, 46
—
—
14 543 2. 1 1. 661
—
— 121, 7
—
—
14 549 4.3637
25,118
—
—
—
14 551
2.3- 2 5-97
—
123, 17
74, 55
9 1 , 43
14 557
4.3.1213
101, 66
—
—
55, 62
131, 39
14 561
32.5-7-I3
119, 20
69, 70
127, 28
—
—
14 563; 2.9.809
—
71, 69
—
100, 39
200, 26
14 591! 2.5.1459
—
—
121, 5
—
—
14593:256.3.19
97, 72
65, 72
129, 32
119, 12
238, 8
14 621
4.5I7.43
85, 86
—
—
—
—
14 627
2. 71. 103
—
63, 73
—
—
—
14 629
4.3.2353
65,102
—
—
91, 46
229, 15
14 633
8-31-59
83, 88
in, 34
121, 2
—
—
14 639
2.i3.5 6 3
—
—
121, 1
—
—
14 653
4.9.11.37
27,118
—
—
121, 2
115, 4i
14 657
64.229
121, 4
117, 22
125, 22
—
—
14 669
4.I9-I93
U5, 38
•
—
—
—
14 683
2.3.2447
—
115, 27
—
20, 69
40, 46
14 699
2-7349
—
93, 55
—
—
—
14 713
8.3.613
117, 32
121, 6
i39, 48
29, 68
233, I 3
44
QUADRATIC PARTITIONS.
p
P -l
a b
c d
e f
A B
L M
14 717
4.13.283
59,106
— —
—
—
14 723
2.17-433
—
105, 43' —
—
—
14 731
2.3.5.491
—
59, 75 —
112, 27224, 18
14 737
16.3.307
119, 24
25, 84123, 14
73, 5 6 95, 43
14 741
4.5. 11. 67
131, IO
—
—
—
—
14 747
2.73. 101
—
n7, 23
—
—
—
14 753
32.461
47,112
81, 64
145, 56
—
14 759
2.47.157
—
—
149, 61
. —
14 767
2.3.23.107
—
—
167, 81
22, 69
44, 46
14 771
2.5-7.211
—
in, 35
—
—
—
14 779
2.9.821
—
91, 57
—
116, 21
232, 14
14 783
2.19.389
—
—
169, 83
—
—
14 797
4.27.137
109, 54
—
—
113, 26
191, 29
14 813
4.7-23.23
107, 58
—
—
—
—
14 821
4-3-5-I3-I9
in, 50
—
—
11, 70
199, 27
14 827
2-3-7-353
—
83, 63
—
80, 53
239, 9
14 831
2.5.1483
—
—
H3, 53
—
—
14 843
2.41. 181
—
69, 71
—
—
—
14 851
2. 27. 25. 11
—
73, 69
—
76, 55
241, 7
14 867
2-7433
—
33, 83
—
—
—
14 869
4.9-7-59
105, 62
—
—
13, 70
223, 19
14 879
2.43-173
—
—
127, 25
—
14 887
2.9.827
—
—
123, 11 122, 1
119, 41
14 891
2.5.1489
—
31, 85
—
—
14 897
16.49.19
131, 16
105, 44
137, 44
—
—
14 923
2.9.829
—
io 9, 39
—
104, 37
7, 47
14 929
16.3.311
23,120
131, 12
123, 10
119, 16
7i, 45
14 939
3.7.11.97
—
117, 25
—
—
—
14 947
2-3-47-53
—
ri 3, 33
—
88, 49235, !3
14 951
2.25.13.23
—
—
133, 37
—
—
14 957
4-3739
61,106
—
—
—
—
14 969
8.1871
85, 88
39, 82
161, 74
—
14 983
2. 3. 11. 227
—
—
131. 33 110 , 3 1
17, 47
15 013
427.139
33>n8
—
1 59, 62
245, 1
15 017
8.1877
109, 56
15, 86
163, 76
—
15 031
2.9.5.167
—
—
123, 7
122, 7
101, 43
15 053
4-53-71
13,122
—
—
—
—
15 061
4-3-5-25I
119, 3°
—
— 19, 70
229, 17
15 073
32.3-I57
113, 48
31, 84
129, 28 121, 12 242, 8|
15 077
4.3769
79, 94
—
— 1
- 1
QUADRATIC PARTITIONS.
45
V
p-l
a be d
e f
A B
L M
15 083 2.7541
— -
5i, 79
—
—
—
15 09l| 2.3.5.503
—
121, 15!
92, 47
233, 15
15 101! 4.25-151
101, 70
— —
—
—
15 107
2.7.13.83
57, 77: —
—
—
15 121
16.27.5.7
105, 64
89, 60123, 2
113, 28
29, 47
15131
2.5.17.89
—
^3, i\ —
—
15137
32.11.43
41,116
123, 2 173, 86
—
—
15139
2.9.29.29
—
1, 87
—
4, 7i
209, 25
15 149
4.7.541
35,u8
—
—
—
—
15 161
8-5-379
115, 44
123, 4127, 22
—
—
15 173
4-3793
17,122
—
—
—
—
15 187] 2.3.2531
—
7, 87
—
8, 71
221, 21
15 193 8.9.21 1
123, 8
55, 78i45, 54
91, 48
182, 32
15 199 2. 3. 17. 149
—
159, 7i
86, 51
172, 34
15 217i 16.3.317
121, 24103, 48
153, 6 4
97, 44
35, 47
15 227 2.23.331
— 123, 7
—
—
—
15 233 128.7.17
103, 68: 21, 86125, 14
—
—
15 241 8.3.5.127
29,120 97, 54
137, 42
37, 68
167, 35
15259^.3.2543
—
11, 87
—
64, 61
247, 1
15 263 2.13.587
—
—
161, 73
—
—
15 269
4.11.347
IJ 3, 5°
—
—
—
15 271
2-3-5-5°9
i39, 45
58, 63
116, 42
1527714.3.19.67
99, 74: —
—
47, 66
94, 44
15 287 1 2.7643
i
I2 5, 13
—
—
15 289,8.3.49-13
117, 40
121, 18
129, 26
67, 60
134, 40
15 299 2.7649
—
39, 83
—
—
—
15 307! 2.3.2551
13. 87
—
32, 69
64, 46
15 313J 16.3.11.29
87, 88
119, 24
i55, 66
55, 64
247, 3
15 319
2.9.23.37
—
—
163, 75
14, 71
227, 19
15 329
32.479
73,100
123, 10
127, 20
—
—
15 331 2.3.5.7.73
_
47, 81
—
116, 25
41, 47
15 349
4.3.1279
57,no
■
—
109, 34
2H, 25
15 359
2.7.1097
—
—
151, 61
—
—
15 361
1024.3.5
31,120
113, 36
1.3'ij 3°
119, 20
'79, 33
15 373
4.9.7-61
93, 82
—
95, 46
43, 47
15 377
16.31. 31
1,124
93, 58
*33, 34
—
—
15 383
2.7691
—
—
125, n
—
—
15 391
2.81. 5.19
—
—
129, 25
122, 13
^3, 45
15 401
825.7.11
5, I2 4
Si, 80
157, 68
—
—
15 413
4.3853
23,122
—
—
—
46
QUADRATIC PARTITIONS.
V
P -l
a b
c d
. fj
A B
L M
15 427
2.9.857
—
i7, 87
—
112, 31205, 27
15 439
2.3-3 l8 3
—
— ■
169, 81
34, 69 68, 46
15 443
2.7.1103
105, 47
—
— —
15 451
2.3.25.103
77, 69
—
124, 5 109, 43
15 461
4-5-773
65,106
—
—
— —
15 467
2. 11. 19.37
— 123, 13
—
— —
15 473
16.967
113, 5 2 45. 82
149, 58
— —
15 493
4.3.1291
97, 78
—
—
101, 42 202, 28
15 497
8.13.149
11,124
3, 88
125, 8
—
—
15 511
2.3.5.11 47
—
—
133, 33
118, 23
49, 47
15 527
2,7.1109
— '
—
125, 7
—
—
15 541
4-3 5-7-37
121, 30
—
—
29, 70
181, 33
15 551
2. 25. 311
—
—
127, 17
—
—
15 559
2-3-2593
—
—
147, 55
122, 15
244, 10
15 569
16.7-139
55, 112
9, 88
i37, 4o
—
—
15 581
4.5. 19.41
59, IIQ
—
—
—
—
15 583
2 -3-49-53
—
—
129, 23
46, 67
247, 7
15 601
16.3.25.13
i5> 12 4
83, 66
151, 60
7, 72
14, 48
15 607
2.27.17 17
—
—
125, 3
22, 71
I9 1 , 3i
15 619
2.3.19.137
—
119, 27
—
124, 9
248, 6
15 629
4 39°7
125, 2
—
—
—
—
15 641
8.5.17.23
125, 4
123, 16
133, 32
—
—
15 643
2. 9. 11. 79
—
125, 3
—
116, 27
232, 18
15 647
2.7823
—
143, 49
—
—
15 649
3 2 -3- l6 3
105, 68
59, 78
141, 46
79, 56
89, 45
15 661
4.27.5.29
125, 6
—
—
31, 7°
241, 13
15 667
2.3-7-373
—
23, 87
—
92, 49
55, 47
15 671
2.5.1567
—
—
157, 67
—
—
15 679
2.9.13.67
—
—
127, 15
98, 45
196, 30
15 683
2.7841
—
in, 41
—
—
15 727
>
2.3 2621
—
—
>37, 39
38, 69
76, 46
15 731
2-5-121.13
—
57, 79
—
—
15 733
4.9.19.23
73,102
—
—
125, 6
250, 4
15 737
8.7.281
19,124
117, 32
127, 14
—
—
15 739
. 2.3.43.61
—
67, 75
—
124, 11
9 1 , 45
15 749
4-3 T - I2 7
95, 82
—
—
—
—
15 761
16.5. 197
119, 40
87, 64
169, 80
—
15 767
i 2.7883
—
—
133, 3 1
—
—
15 773
| 4-3943
43>n8
—
—
—
15 787
1 2.9.877
—
125, 9
—
68, 61
115, 43
QUADRATIC PARTITIONS.
47
p p—1
a b
c d
e f
A B
L M
15 791 2.5.1579
127, 13 —
15 797 411.359
121, 34 —
. ,
15 803 2.7901
— ! 45, 83
15 809 64.13.19
97, 80 81, 68131, 26
15 817j 8.3.659
21,124115, 36
173, 84125, 8149, 39
15 823 2.27.293
—
145, 51 86, 53245, 11
15 859 2.9.881
—
89, 63
— 104, 41227, 21
15 877 ! 4.81.49
1,126
—
! 53, 66106, 44
15 881 8.5.397
125, 16
33, 86137, 38
—
15 887j 2. 13.13.47
—
—
127, Hi —
—
15 889 16.3.331
65,108
61, 78
*33> 3°H9, 24
238, 16
15 901' 4.3-25-53
5,126
—
—
103, 42 206, 28
15 907 2.3.11.241
—
97, 57
28, 7x185, 33
15 913 8.9.13.17
123, 28
125, 12
*35, 34
19, 72; 38, 48
15 919 2.3.7.379
—
—
129, 19
74, 59251, 5
15 923 2. 19.419
—
Q, 89
—
_ j _
15 937 64.3.83
121, 36
85, 66
157, 66
95, 48190, 32
15 959 2. 79.101
—
139, 4i
— -
—
15 971 2.5.1597
39, 85
—
—
15 973 4-3-1331
33,122
~~
—
85, 54
170, 36
I599IJ2.3.5.13.41
—
T 47, 53
2, 73
217, 25
16001 128.125
25,124
117, 34
127, 8
—
—
16 007 2. 53.151
*33, 29
—
—
16 033 32.3.167
87, 92
101, 54
159, 68
89, 52
67, 47
16 057, 8.9.223
51,116
107, 48
127, 6
125, 12
250, 8
16061! 4.5.ii.73
85, 94
—
—
—
—
16 063 2.3.2677
—
129, 17
70, 61
253, 3
16 067
2.29.277
—
15, 89
—
—
16 069
4-3- i 3 io 3
63,110
—
37, 7o
247, 11
16 073
8.49.41
107, 68
99, 5 6
151, 5^
—
—
16 087
2.3-7.383
—
—
i55, 63
10, 73
229, 21
16 091
2.5.1609
—
93, 61
—
—
—
16 097
32.5 3
119, 44
123, 22
127, 4
—
—
16 103
2.8397
—
—
*3h 2 3
—
—
16111
2.9.5.179
—
—
127, 3
118, 27
236, 18
16127
2.11.733
—
—
127, 1
—
—
16 139
2.8069
—
117, 35
—
—
—
16 141
4.3.5.269
115, 54
—
—
127, 2
121, 43
16183
2.9.29.31
—
—
141, 43
14, 73
205, 29
16 187
2.8093
—
123, 2S
—
—
—
48
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B 1 L M
16189
4.3.19.71
117, 5°
—
—
119, 26
i97, 31
16 193
64.11.23
127, 8
in, 44
131, 22
—
—
16 217
8.2027
29,124
27, 88
143, 46
—
—
16 223
2.8111
—
—
145, 49
—
—
16 229
4-4057
127, 10
—
—
—
—
16 231
2-3-5-54I
—
—
133, 27
98, 47
239, 17
16 249
8.3.677
43,120
7, 9°
129, 14
107, 40
13, 49
16 253
4 17.239
37,122
—
—
—
—
16 267
2.3.2711
—
115, 39
—
92, 51
184, 34
16 273
16.9.113
127, 12
125, 18
165, 74
49, 68
155, 39
16 301
4.25.163
125, 26
—
—
—
—
16 319
2.41. 199
—
—
i37, 35
—
—
16 333
4.3.1361
77,102
—
—
79, 58
253, 7
16 339
2.3.7.389
—
119, 33
—
116, 31
23, 49
16 349
4.61.67
107, 70
—
—
—
—
16 361
8.5.409
"5. 56
81, 70
131, 20
—
—
16 363
2.81. 101
—
35, 87
—
104, 43
25, 49
16 369
16.3. 11. 31
113, 60
13, 90
149, 54
121, 24
242, 16
16 381
4-9-5-7-I3
91, 90
—
—
41, 70
169, 37
16 411
2-3-5-547
—
83, 69
—
128, 3
256, 2
16 417
32.27.19
in, 64
127, 12
145, 48
103, 44
29, 49
16 421
4.5.821
95, 86
—
—
—
—
16 427
2.43.191
—
117, 37
—
—
—
16 433
16.13.79
7,128
105, 52
139, 38
—
—
16 447
2.3.2741
—
i53, 59
118, 29
3*i 49
16 451
2.25.7.47
—
63, 79
—
—
—
16 453
4-9-457
127, 18
—
—
5, 74
227, 23
16 477
4-3-1373
59,iH
—
—
7, 74
215, 27
16 481
32.5- io 3
55,n6
123, 26
173, 82
—
—
16 487
2.8243
—
163, 7i
—
—
16 493
4.7.1931
^3, 98
—
—
—
—
16 519
2.3-2753
—
—
141, 41
62, 65
257, 1
16 529
1 16.1033
127, 20
99, 58
151, 56
—
—
16 547
1 2.8273
—
87, 67
—
—
—
16 553
8.2069
13,128
in, 46
179, 88
—
—
16 561
16.9.5.23
81,100
19, 90
181, 90
127, 12
254, 8
16 567
2.3.11.251
—
165, 73
38, 71
251, 11
16 573
4.3.1381
123, 38
—
71, 62
257, 3
16 603
2.3.2767
—
59, 81
—
56, 67
145, 4i
16 607
2. 19.19.23
—
—
145, 47
—
QUADRATIC PARTITIONS.
49
p
p-l
a b
d
e f
A B
L M
16 619 2.7.1187
69, 77
_ _
—
16 631 2.5.1663
—
—
133, 23; —
—
16 633 8.27. 7.11
107, 72
89, 66
129, 2 85, 56
^3, 47
16 649 8.2081
125, 32
129, 2
131, 16
—
—
16 651
2.9.25.37
—
107, 5 1
— 112, 37
223, 25
16 657" 16.3.347
129, 4
67, 78
J 35> 28113, 36
226, 24
16 661 4-5-49-I7
119, 5°
—
— —
—
16 6731 32.521
17,128
129, 4 161, 68
—
16 691 ; 2.5.1669
—
"9, 5
— —
—
16 693 4.3. 13. 107
103. 78
—
— «5» 34
217, 27
16 699 2.3.121.23
—
101, 57
— 124, 21
248, 14
16703,2.7.1193
—
—
169, 77
—
—
16 729 ! 8.3.17.41
123, 40
23, 90
*39, 3 6
77, 60
154, 40
16 741 1 4.27-5-31
129, 10
—
—
107, 42
214, 28
16 747i 2.3.2791
—
85, 69
— '128, 11
161, 39
16 759
2.9.49.19
—
—
171, 79122, 25
47, 49
16 763
2. 17. 17.29
—
99, 59
—
—
16 787
2. 7. 11. 109
—
15, 9i
—
—
—
16 811
2.5-41-41
—
123, 29
—
—
— -
16 823
2.13.647
—
—
131, 13
—
—
16 829
4.7.601
85, 98
— -
—
—
—
16 831 2.9.5. 1 1. 1 7
—
—
J59, 65
58, 67
259, 3
16 843
2.3.7.401
—
61, 81
—
80, 59
257, 7
16 871
2.5.7.241
—
—
—
—
16 879
2.3.29.97
—
i77, 85
2, 75
4, 5°
16 883
2.23.367
—
129, 11
—
—
—
16 889
8.21 1 1
83,100
117, 40
133, 20
—
—
16 901
4-25.T3.13
1,13°
—
—
—
—
16 903
2.27.313
—
—
i79, 87
13°, 1
*33> 43
16 921
8.9.5.47
125, 36
53, 84143, 42
37, 72
74, 48
16 927
2.3-7.I3-3 1
—
—
183, 91
i3°> 3
260, 2
16 931
2.5.1693
—
33, 89
—
—
—
16 937
8.29.73
59> IJ 6
3, 92167, 74
—
—
16 943
2.43.197
—
—
161, 67
—
—
16 963
2.3.11.257
—
95> 63
—
124, 23
55, 49
16 979
2.13-653
—
129, 13
—
—
—
16 981
4.3-5.283
9,i3°
—
—
83, 58
9 1 . 47
16 987
2.3-19.149
—
43, 87
—
52, 69
104, 46
16 993
32.9.59
73>i°8
91, 66 141, 38
121, 28
205, 31
17 011
2.243.5-7
—
127, 21
3 2 , 73
187, 35
50
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f | A B
L M
17 021 4-5-23-37
11,130
—
—
—
—
17 027! 2.8513
— 57, 83
—
—
—
17 029 4.9.11.43
J27, 3°j —
—
9h 54
182, 36
17 033 8.2129
67,112129, 14
131, 8
—
—
17 041
16.3.5.71
129, 20
29, 9°
133, 18
79, 60
158, 40
17 047
2.9.947
—
—
163, 69
130, 7
I5 1 , 4i
17 053|4-3-49- 2 9
117, 5 8
—
—
25, 74
J97, 33
17 077j 4-3-1423
119, 54
—
—
125, 22
59, 49
17 093j 44273
47,122
—
—
—
—
17 099| 2.83.103
—
93, 65
—
—
—
17 107 2.3.2851
—
103, 57
—
112, 39
224, 26
17 117
4.11.389
9 1 , 94
—
—
—
—
17 123
2.7.1223
—
in, 49
—
—
17 137
16.9.7. 17
89, 96
55, 84 i53< 5 6
95, 52
61, 49
17 159
2-23-373
—
— I3 1 , 1
—
—
17167 2.3.2861
—
— i35, 23
82, 59 95, 47
17 183! 2.121.71
—
—
iSh 53
—
—
17 189 4-4297
17,13°
—
—
—
—
17 191' 2.9.5.191
—
— |i47, 47
118, 33236, 22
17 203 2.3.47.61
— -
119, 39|
100, 49247, 17
17 207 2.7.1229
—
— Ii57, 61
—
-
17 209; 8.9.239
53,i2o
71, 78 161, 66 131, 4
119, 45
17 231 2.5.1723
—
167, 73
—
17239:2.3.13.13.17
—
—
!33, J 5
46, 71
167, 39
17 257i 8.3.719
101, 84
83, 72
135, 22 107, 44
239, 21
17291:2.5.7.13.19
27, 9 1
—
17 293; 4-3-H.I3I
83,102
—
"--
65, 66
13°, 44
17 299| 2.9.31. 31
—
1, 93
68, 65
263, 1
17 317; 4.9.13.37
129, 26
—
—
85, 58
259, 9
17 321j 8.5.433
115, 6 4
in, 50
163, 68
—
17 327
2.8663
—
—
145, 43
—
—
17 333
4.7.619
103, 82
—
—
—
—
17 341
4-3-5-J7-I7
21,130
—
—
121, 30
242, 20
17 351
2.25.347
—
—
133, 13
—
—
17 359
2.3.11.263
—
—
i53, 55 22, 75
44, 5°
17 377
32.3. l8r
81,104
113, 48
147, 46 7, 76
235, 23
17 383
2.3.2897
—
—
171, 77
74, 63
148, 42
17 387
2.8693
—
117, 43
—
—
17 389
; 4.27.7.23
125, 42
—
—
3h 74
191, 35
17 393
16.1087
113, 68
51, 86
151, S 2
-
QUADRATIC PARTITIONS.
51
V
p-1
a b
c d
e f
A B
L M
17 40l| 8.3.25.29
45,124101, 60133, 12 43, 72
86, 48
17 417 8.7.311
131, 16
63, 82
137, 26
—
17 419 2.3.2903
—
"> 93
56, 69
112, 46
17 43lj 2.3.5.7.83
—
—
141, 35 38, 73
181, 37
17 443 2.27. 17.19
—
89, 69
— 104, 47
245, !9
17 449 ; 8.3.727
5^32
131, 12
157, 60! 11, 76
217, 29
17 467 2. 3.41. 71
—
i3> 93
128, 19
7i, 49
17 471; 2.5.1747
—
—
161, 65
—
17 4771 4.17.257
79,106
—
—
—
—
17 483 2.8741
—
75, 77
—
—
—
17 489 16.1093
95, 92
99, 62
i33, 10
—
—
17 491 2.3.5.11. 53
—
79, 75
88, 57
176, 3^
17 497! 8.27.81
91, 96
73, 78
M5, 42
13, 76
241, 21
17 509; 4-3-1459
97, 9°
—
—
53, 7o
157, 4i
I75i9j2.19.461
—
—
i37, 25
—
—
17 539 2.3.37.79
—
49, 87
—
92, 55
73, 49
17 551 2.27.25.13
—
—
i77, ^3
26, 75
52, 50
17 569! 32.9.61
87,100
37, 90
141, 34 113, 4o
7, 5 1
17 573 4-23.191
127, 38
—
—
—
—
17 579 : 2. 11. 17. 47
—
I2 3, 35
—
—
—
17 581 4-3-5-293
115, 66
—
—
127, 22193, 35
17 597 4.53-83
101, 86
—
—
— —
17 599| 2.3.7.419
—
—
151, 5 1
n8, 35; 13, 51
17 609 8.31. 71
35^28
129, 22
169, 74
— —
17 623 12.9.11.89
—
—
181, 87
50, 71263, 7
17 627 2.7.1259
—
93, 67
—
—
—
17 657:8.2207
109, 76
27, 92
*33, 4
—
—
17 659 2.81. 109
—
19, 93
—
28, 75
56, 5°
17 669 4.7.631
113, 7o
—
—
—
—
17 681 16.5.13.17
65,116
3, 94
133, 2
—
—
17 683 2.3.7.421
—
121, 39
—
76, 63152, 42
17 707 2.3.13.227
—
133, 3
—
128, 21256, 14
17 713 16.27.41
17,132
109, 54
135, l6
121, 32 25, 51
17 729 1 64.277
127, 40
in, 52
161, 64
— —
17 737
8.3.739
i$h 24
95, 66
147, 44
133, 4*45, 43
17 747
2.19.467
—
63, 83
—
— —
17 749
4.9.17.29
105, 82
—
—
l$h I4I73, 39
17 761
32.3.5-37
119, 60
*33, 6
173, 78
47, 72
94, 48
17 783
2.17.523
—
—
149, 47
—
—
17 789
4.4447
133. IO
—
—
—
52
QUADRATIC PARTITIONS.
p
P -l
a b
c d
e f
A B
L M
17 791
2 -3-5-593
—
—
!53, 53
2, 77 233, 25
17 807
2.29.307
—
—
167, 71
17 827
2.3.2971
—
23, 93
—
52, 71161, 41
17 837
4.343-J3
131, 26
—
—
— - —
17 839
2.9.991
—
—
159, 61
86, 59263, 9
17 851
2.3.25.7.17
—
133, 9
—
8, 77
239, 23
17 863
2.3.13.229
—
—
i39, 27
106, 47
35, 5i
17 881
8.3.5.149
59,120
41, 90
177, 82
133, 8
109, 47
17 891
2.5.1789
—
129, 25
—
—
—
17 903
2.8951
—
—
l6 9, 73
—
—
17 909
4.121.37
55>122
—
—
—
—
17 911
2.9.5.199
—
—
147, 43
94, 55 259, 13
17 921
512.5.7
89,100
117, 46
157, 58
—
-
17 923
2.3.29.103
—
25, 93
—
44, 73
175, 39
17 929
8.27.83
125, 48
127, 30
179, 84
131, 16
83, 49
17 939
2.8969
—
"*> 53
—
17 957
4.67.67
1,134
—
—
—
17 959
2.3-4I.73
—
—
141, 31
134, 1
131, 45
17 971
2.3-5-599
—
113, 5 1
128, 23
J 97, 35
17 977
8.3.7.107
5 X , I2 4
i33, I2
165, 68
125, 28
4i, 51
17 981
4-5-29-3I
5,*34
—
—
—
—
17 987
2.17.23.23
—
105, 59
—
—
—
17 989
4.3.1499
33>*3°
—
—
133, 10
163, 41
18 013
4.3.19.79
*33, 18
—
—
89, 58
85, 49
18 041
8.5.11.41
85,104
57, 86
187, 92
—
—
18 043
2.3.3I.97
— ■
131, 21
—
16, 77
215, 3i
18 047
2.7.1289
—
—
r 37, 19
18 049
128.3.47
25,132
43, 9o
189, 94
119, 36
238, 24
18 059
2.9029
3, 95
—
-
—
18 061
4.3.5-7.43
i3 J , 30
—
—
113, 42
226, 28
18 077
4-45 x 9
n,i34
18 089
8.7.17.19
133, 20
51, 88
167, 70
—
—
18 097
16.3.13.29
in, 76
77, 78
135, 8
65, 68
269, 1
18119
2.9059
—
—
163, 65
—
18121
8.3.5.151
61,120
97, 66
r 37, 18
133, 12
266, 8
18 127
2.9.I9-53
—
—
135, 7
62, 69
124, 46
18 131
2-5-49-37
— '
9, 95
—
—
—
18 133
4-3-1511
57,122
—
—
131, 18
262, 12
18 143
2.47.193
—
—
i75, 79
—
—
18 149
4-I3-349
65,118
—
—
—
—
QUADRATIC PARTITIONS.
53
p
p — 1
a b
c d
e f
A B
L M
18 168
1 8.3-757
75,H2
121, 42
*39i 24
29, 76
199, 35
18181
4.9.5. 101
x 5>i34
—
59, 7°
I5 r > 43
18191
2.5.17.107
—
— .
!37, 17
—
—
18198
2.27.337
—
—
141, 29
*34, 9
268, 6
18 211
2.3.5.607
—
119, 45
92, 57
184, 38
18 217
8.9.11.23
69,116
125, 36
*35i 2
77, 64
"5, 47
18 223
2-3-3037
—
—
135, 1
130, 21
260, 14
18 229
4-3-49 3 J
*35> 2
—
—
109, 46
247, 21
18 233
8-43-53
43,128
135. 2
161, 62
— .
—
18 251
2.125.73
—
99, 65
—
—
—
18 253
4-27-13-13
93, 98
—
—
1, 78
2, 52
18 257
16.7. 163
119, 64
r 35, 4
i37, 16
—
18 269
4-45 6 7
37>i3o
—
—
—
18 287
2.41.223
—
—
H5» 37
—
18 289
16.9. 127
135, 8
89, 72
*7h 74
3i, 76
259, 15
18 301
4.3.25.61
101, 90
—
—
7, 78
14, 52
18 307
2. 81. 113
—
127, 33
—
80, 63
160, 42
18 311
2-5-1831
181, 85
—
18 313
8.3.7.109
117, 68
131, 24
T41, 28
101, 52
55, 51
18 329
8.29.79
I2 5, 52
123, 40
149, 44
—
—
18 341
4.5-7-I3I
79,110
—
—
—
—
18 353
16.31.37
103, 88
135, 8
139, 22
—
18 367
2.3.3061
—
167, 69
70, 67271, 1
18 371
2. 5. 11. 167
—
IJI , 55
—
— —
18 379
2.9.1021
—
109, 57
—
64, 69 128, 46
18 397
4-9-7-73
21,134
—
—
73, 66146, 44
18 401
32-25-23
55, I2 4
27, 94
143, 32
—
—
18 413
4.4603
6 7 ,it8
—
—
—
—
18 427
2-3-37-83
—
H5, 5i
—
100, 53
59, 5 1
18 433
2048.9
127, 48
1, 96
H5, 36
95, 56
263, 13
18 439
2-3-7-439
—
—
i39, 21
106, 49
253, *9
18 443
2.9221
—
5 J , 89
—
—
—
18 451
2.9.25.41
—
73, 81
—
76, 65
119, 47
18 457
8.3.769
*3h 36
5, 96
*75i 78133, i6|
181, 39
18 461
4.5-I3-7I
85,106
—
—
—
—
18 481
16.3.5.7.11
135, 16
7, 96
i37, 12
127, 28211, 33
18 493
4-3-23-67
123, 58
—
—
119, 3^ 2 33, 27
18 503
2. 11. 29.29
—
149, 43
—
—
18 517
4-3-1543
119, 66
—
—
115, 42230, 28
18 521
8.5463
5,136
87, 74;
139, 20
—
-
54
QUADRATIC PARTITIONS
p
P -l
a be d
e f j A B L M
18 523
2.27.343
—
35, 93
—
136, 3272, 2
18 539
2.13.23.31
—
69, 83
—
—
—
18 541
4.9.5.103
125, 54
—
—
17, 78
34, 52
18 553
8-3-773
83,108
n, 96
i59, 58:
35, 76
193, 37
18 583
2.3.19.163
—
—
171, 73!
94, 57
188, 38
18 587
2.9293
—
45, 9i
—
—
18 593
32.7.83
47,128
in, 56
179, 82
—
—
18 617
8.13.179
11,136,
135, M
155, 52:
—
—
18 637
4-3-1553
99, 94
—
—
47, 74
269, 9
18 661
4-3-5-3 11
81,110
—
—
133, 18
266, 12
18 671
2.5.1867
— 137, 7i
—
—
18 679
2.3-11-283
—
— i73, 75
98, 55
67, 5*
18 691
2.3.5.7.89
—
121, 45
-
52, 73
271, 7
18 701
4.25.11.17
115, 74
—
—
—
18 713
8.2339
133, 32
105, 62 145, 34
—
—
18 719
2.49.191
—
—
i37, 5
—
—
18 731
2-5-1873
—
93, 7i
—
—
—
18 743
2.9371
—
— 139, n
—
—
18 749
4.43.109
43, 1 3°
—
—
—
—
18 757
4.9.521
129, 46
—
—
85, 62
101, 49
18 773
4.13.19.19
i37, 2
—
—
—
—
18 787
2.3.31. 101
—
137, 3
—
8, 79
229, 29
18 793
8.81.29
37,i32
19, 96
189, 92
109, 48
218, 32
18 797
4.37.127
29,134
—
—
—
—
18 803
2.7.17.79
—
i35, J 7
—
—
—
18 839
2.9419
—
—
149, 41
—
—
18 859
2.3.7.449
—
61, 87
—
136, 11
103, 49
18 869
4-53-89
137, i°
—
—
—
—
18 899
2.11.859
9, 97
—
—
—
18 911
2. 5. 31. 61
—
167, 67
—
—
18 913
32.3-I97
137, I2
101, 66
141, 22
71, 68
275, *
18 917
4.4729
! 3M34
—
— •
—
—
18 919
2.9.1051
—
—
179, 81
14, 79
223, 31
18 947
2-9473
—
135, T 9
—
—
—
18 959
2-9479
—
—
161, 59
—
—
18 973
4.9.17. 31
123, 62
—
— •
121, 38
7, 53
18 979
2.33163
—
4i, 93
—
16, 79
253, 21
19 001
8.125. 19
115, 76
123, 44
149, 40
—
1 -
19 009
64.27.11
135, 28
53, 90
159, 56
41, 76
,187, 39
19 013
4.49.97
| 97, 98
1
—
—
QUADRATIC PARTITIONS.
55
1
A B
L M
19031 2.5. n. 173
19087 4.4759
19051 2.3.25.127
19069^4.3.7.227
19 073 128.149
19 079 2.9539
19 081 8.9.5.53
19 087 2.3.3181
19121 16.5.239
19139 2.7.1367
19141 4-3-5- XI - 2 9
19 157 4-4789
19 163 2. 11. 13.67
19 181 ! 4.5.7.137
19 183, 2.3.23.139
19 207
19 211i
19 213i
19 219
19 231
19 237
19 249|
19 259
19 267
19 273
19 289
19 301
19 309
19 319
19 333
19 373
19 379
19 381
19 387
19 391
19 403
19 417
19 421
19 423
19 427
101, 94 —
! 77,
5,138
103, 9 2 75,
75,116109, 60
25,136
29, 5°
89,106
35,i34
87,
33,
5 1 , 9i
2.9.11.97
2. 5. 17. 113
4.3.1601
2.3.3203
2.3.5.641
4.3.7.229
16.3.401
2.9629
2.3.13.13.19
8.3.11-73
8.2411
4-25.193
4.3.1609
2.13.743
4.27.179
4.29.167
2.9689
4.3-5- I 7.i9
2.27.359
2.5.7.277
2.89.109
8.3.809
4.5.971
2.9.13.83
2. 11. 883
13,
138
79,
135,
114
32
43,
132
133,
49,
"5,
40
130
78
17,
138
67,
122
135,
34
IOI,
139,
96
10
69,
137=
121,
21,
113,
29,
48
97
57
96
98
129,
107,
75,
i37,
37
63
83
18
— 87, 77
i57, 53
i75, 76
139,
141,
185,
!39,
191,
195,
J 59,
139,
i39,
!39,
124,
i37,
9i,
130,
133, 22
70,
22,
3i,
64,
38,
53,
7,
128,
61,
—
79,
i39,
69
79
78
7i
77
74
80
3i
72
143,
155,
161,
109,
40,
23 -
48133,
5713°,
24
J 9, 53
107, 49
152, 40
260, 18
!99, 37
140, 46
259, 19
62, 52
i49, 45
269, 13
275, 7
233, 29
35, 53
122, 48
158, 44
133, 47
41, 53
9 1 , 39
266, 16
29 43, 53
56
QUADRATIC PARTITIONS.
p p-1
a be d
e f
A B
L M
19 429
4.3.1619
95,102
139, 6278, 4
19 433
8-7-347
83,112
15, 98185, 86
— J —
19 441
16.243.5
71,120 73, 84 171, 70 121, 40241, 27
19 447
2-3-7-463
— — 1*57, 5*1
122, 39244, 26
19 457
1024.19
31,136 63, 88
145, 28
— '■
—
19 463
2.37.263
— -
149, 37
—
—
19 469
4.3I-I57
125, 62
-
—
—
—
19 471!
2.3.5. 11.59
;
i77, 77
118, 43
247, 25
19 477 5
4.9.541
39,134
—
—
35, 78
70, 52
19 483;
2.3.17.191
139, 9
—
124, 37
235, 29
19 489
32.3.7.29
105, 92 133, 3°
141, 14
17, 80
257, 21
19 501
4.3- I2 5-i3
Sh*&\
—
97, 58
27 1 , 13
19 507
2-3-325 1
—
47, 93
—
28, 79
265, 17
19 531
2.9-5-7-3'
—
9i, 75
—
116, 45
232, 30
19 541
4-5-977
121, 70
—
—
—
—
19 543
2-3-3257
—
141, 13
T34, 23
203, 37
19 553
32.i3.47
137, 2.8 69, 86
191, 92
—
—
19 559
2. 7. 11. 127
—
—
i79, 79
—
—
19 571
2.5.19.103
—
39, 95
—
—
—
19 577
8.2447
139, * 6
i35, 26
193, 94
—
—
19 583
2.9791
—
169, 67
—
—
19 597
4-3-23-71
61,126
—
—
127, 34
229, 31
19 603
2.81. 121
—
1, 99
—
140, 1
137, 47
19 609
8.3.19.43
3> I 4°
139, 12
149; 3 6
101, 56
269, 15
19 661
4-5-983
13 1 , 5°
—
—
—
—
19 681
32-3-5.41
9,140
59, 90
141, 10
113, 48
226, 32
19 687
2-3-17-193
—
—
147, 3 1
2, 81
4, 54
19 697
16.1231
79,116
45, 94
167, 64
—
—
19 699
2.3.49.67
—
49, 93
—
4, 81
8, 54
19 709
4.I3.379
53»I3«
—
—
—
—
19 717
4.3.3I.53
in, 86
—
—
133, 26
55, 53
19 727
2.7.1409
—
—
i43, i9
—
—
19 739
2-71-139
—
117, 55
—
—
—
19 751
2.125.79
—
i49, 35
—
—
19 753
8.3.823
123, 68
t$h 36
141, 8
139, I2
278, 8
19 759
23-37.89
—
—
151, 39
74, 69
148, 46
19 763
2.41. 241
in, 61
—
—
—
19 777
64.3.103
129, 56
97, 72
177, 76
65, 72
130, 48
19 793
16.1237
137, 32
135, 28
155, 46
—
—
19 801
8.9.25. 11
99,100
37, 96
143, l8
1
77, 68
281, 3
QUADRATIC PARTITIONS.
57
p
p-1
a b
c d
e f
A B
L M
19 813 1 4.3-13-127
97,102
—
—
91, 62
95, 5i
19 819 2.27.367
—
109, 63
—
136, 21
272, 14
19 841; 128.5. 31
95> io 4
129, 40
163, 58
—
—
19 843 2.1.3307
—
121, 51
—
140, 9
280, 6
19 853' 4.7.709
77,118
—
—
—
—
19 861
4-3-5-331
105, 94
—
—
131, 30
262, 20
19 867
2.3,7.11.43
—
l 33, 33
—
80, 67
121, 49
19 889
16.11.113
17,140
141, 2
149, 34
—
—
19 891
2.9.5.13.17
—
17, 99
—
104, 55
61, 53
19 913
8.19.131
107, 92
141, 4
151, 3^>
—
—
19 919 !
2.23.433
—
—
191, 91
—
—
19 927
2.243.41
—
—
147, 29
122, 41
245, 27
19 937
32.7.89
119, 76
27, 98
143, 16
—
—
19 949
4.4987
115, 82
—
—
—
—
19 961
8.5.499
19,140
117, 5 6
181, 80
—
—
19 963
2.9.1109
—
i9, 99
—
140, 11
173, 43
19 973
4-4993
127, 62
19 979
2.7.1427
—
Hi, 7
—
— .
—
19 991
2.5.1999
—
197, 97
—
—
19 993
8.3.49.17
*33, 48
119, 54
171, 68
109, 52
265, 19
19 997
4.4999
139, 26
—
—
—
20 011
2.3.5.23.29
—
83, 81
56, 75
112, 50
20 021
4.5.7. 11. 13
89,110
—
—
—
—
20 023
2.3.47.71
—
—
149, 33
70, 71
143, 47
20 029
4.3.1669
123, 70
—
—
73, 7°
283, 1
20 047
2.3- I 3- 2 57
—
—
153, 4i
98, 59
275, J 3
20 051
2.25.401
—
87, 79
—
—
20 063
2.7.I433
—
—
I5 1 , 37
—
20 071
2.9.5.223
—
—
163, 57
86, 65
281, 7
20 089
8.81.31
117, 80
89, 78
161, 54
139, 16
187, 41
20101
4-3.25.67
65,126
—
43, 78
86, 52
20 107
2.9.1117
—
53, 93
—
U°, 13
101, 51
20113
16.3.419
87,112
41, 96
185, 84
79, 68
125, 49
20117
4.47.107
121, 74
—
—
—
20123
2.10061
—
141, 11
—
—
—
20129
32.i7.37
23,140
I2 3, 5°
i73, 7o
—
—
20 143
2.27.373
—
—
i45, 21
134, 27
268, 18
20 147
2.7.1439
—
i35> 3i
—
—
—
20 149
4.3.23-73
57,13°
—
61, 74
161, 45
20161
64.9.5.7
135, 44
107, 66
143, I2
31, 80
209, 37
58
QUADRATIC PARTITIONS.
V
s
A Bj
L M
86
1, 82
247, 27
77
62
—
—
47
88
131, 32
227, 33
«$ 50
263, 21
5 9 6
43
5°, 77
40, 79
281, 9
277, 13
94
13, 82
112, 51
55, 76
259, 23
224, 34
283, 7
25
26, 81
52, 54
64
98
5
69
i33, 30
266, 20
142, 9
284, 6
3
2
122, 43
7, 55
TOO, 59
77, 53
49
134, 29
221, 35
38
119, 46
139, 20
19, 55
79, 53
7i
19, 82
265, 21
23
118, 47
104, 57
23, 55
208, 38
20 173
20177
20183
20 201
20 219
20 231
20 233
20 249
20 261
20 269
20 287
20 297
20 323
20 327
20 333
20 341
20 347
20 353
20 357
20 359
4.3.41.41
16.13.97
2.10091
8.25. 101
2. 11. 919
2.5.7.17.17
8.9.281
8.2531
4-5- IOI 3
4.9-563
2.9.49.23
8.43.59
2.9.1129
2.10163
4.i3- I 7-23
4-9.5- TI 3
2-3-339 1
128.3.53
4.7.727
2.27.13.29
20 369 16.19.67
20 389 .4.3. 1699
20 393 8.2549
20 399 2.7.31.47
20 407 ; 2.3.19.179
20 411 2.5.13.157
20 431 2.9.5.227
20 441 8.5.7.73
20 443 2.3.3407
20 477 4-5 1 19
20 479 2.3.3413
20 483 2.49.1 1. 19
20 507
20 509
20 521
20 533
20 543
20 549
20 551
20 563
2.10253
4.3.1709
8.27.5.19
4.3-29-59
2.10271
4.1 1.467
2.3- 2 5- J 37
2.3.23.149
3> I 42| —
4i,i3 6 57, 92 187,
— i/9,
101,100 93, 76167,
— 141, 13J —
— 157,
53,132125, 48189,
125, 68 69, 88143,
95,106
35,!38j —
— i43,
3^ 56 33, 98163,
55, 93
— 155.
i3,M2
35, 46
63,128
49, J 34
85, 8i|
79, 84195,
— 147,
87, 80169,
137, 4o
i i5,H2
733, S 2 14*1 16I199,
143,
173,
143,
M3,
— — 159,
-
3,
101
29,
39,
[40
34
21,
29,
100
99
75,
45,
[22
[36
9,
93,
143,
101
77
6
37,
42
43,
to
3i,
99
153,
175,
147,
QUADRATIC PARTITIONS.
59
V
p-l
a b
c d
e f | A B
L M
20 593
16.9.11.13
143. I2
109, 66
181, 78
71, 72142, 48
20 599
2 .3.3433
—
—
157, 45
74, 71287, T
20 611
2.9.5.229
—
M3, 9
—
68, 73, I 5 I , 47
20 627
2.10313
—
15,101
—
— —
20 639
2.17.607
—
—
191, 89
20 641
32-3-5-43
79,120
47, 96147, 22
143, 8167, 45
20 663
2-10331
—
— 155, 4i
—
—
20 681
8.5. 11.47
85,116
141, 20173, 68
—
—
20 693
4-7-739
23,142
—
—
—
—
20 707
2.3.7.17.29
—
113, 63
—
32, 81
64, 54
20 717
4.5*79
109, 941 —
—
—
—
20 719
2 9.1151
—
—
161, 51
62, 75
124, 5°
20 731
2.3.5.691
—
*33, 39
—
8, 83
257, 25
20 743
2-3-3457
—
—
149, 27
94, 63
188, 42
20 747
2. 11. 23. 41
—
I2 3, 53
—
—
20 749
4-3-7-I3-I9
93>no
— .
—
143, 10
113, 5 1
20 753
16.1297
127, 68
99, 74
151, 32
—
—
20 759
2.97.107
—
—
*97, 95
—
—
20 771
2.5.31.67
—
in, 65
—
—
—
20 773; 4-9-577
143, 18
—
—
139, 22
205, 39
20 789 4.5197
25,142
—
—
—
—
20 807
2.101.103
—
—
203,101
—
—
20 809
8.9.17.17
125, 72
1,102
147, 20
59, 76
169, 45
20 849
16.1303
i43> 20
141, 22
149, 26
—
—
20 857
8.3.11.79
11,144
7,102
187, 84
107, 56
275, *7
20 873
8.2609
67,128
129, 46169, 62
—
—
2O879j2.11.13.73
—
—
15*1 3 1
—
—
20 887 2.3.59.59
—
—
i47, 19
70, 73
289, 1
20 897! 32.653
49,i36 63, 92
145, 8
—
—
20 899 2.243.43
—
143, 15
—
76, 71
137, 49
20 903 2.7.1493
—
—
181, 77
—
—
20 921 8.5.523
139, 40
57, 94i6i, 5°
—
—
20 929 64.3.109
J 35, 52
11,102 189, 86
127, 40
247, 29
20 939
2. 19. 19.29
—
141, 23
—
—
—
20 947
2-3-3491
—
137, 33
—
128, 39
256, 26
20 959
2.3.7.499
—
—
*53, 35
122, 45
244, 3°
20 963
2.47.223
—
i35, 37
—
—
—
20 981 4-5-1049
55,i34
—
—
—
20 9831 2.3.13.269
155, 39
106, 57
212, 38
21001
8.3.125.7
75, I2 4
83, 84
*5 x i 3o
101, 60
202, 40
60
QUADRATIC PARTITIONS.
p
p-l
a b
c d
e f
A B
L M
21011
2.5.11.191
—
81, 85
—
—
—
21 013
4.3.17.103
103,102
—
—
29, 82
217, 37
21 017
8-37-7I
101,104
87, 82
145, 2
—
—
21 019
a4.3x.113
—
61, 93
136, 29
49, 55
21 023
2.23.457
—
—
145, J
- —
—
21 031
2.3.5.701
—
—
147, *7
142, 17
91, 53
21 059
2.10529
—
129, 47
—
—
—
21061
4.81.5-13
i45> 6
—
—
53, 78 1
106, 52
21 067
2-3-35 11
—
77, 87
—
20, 83
269, 21
21089
32.659
i45> 8
33, IO °
179, 74
—
—
21 101
4.25. 211
125, 74
—
—
—
—
21107
2.61. 173
—
i°5, 7i
—
—
: —
21121
128.3.5. n
39 5 i4o
i39> 3°
157, 42
i37, 28
53, 55
21139
2.3.13.271
—
121, 57
—
92, 65
287, 9
21 143
2. 11. 31. 31
—
—
149, 23
—
—
21149
4.17. 311
85,118
—
—
—
—
21157
4- 3-41-43
in, 94
—
—
133, 34
235, 33
21 le3
2.3-3527
—
1x5, 6 3
—
100, 61
283, 13
21169
16.27.49
i45> I2
19,102
199, 96
1, 84
2, 56
21179
2.10589
—
123, 55
—
—
21187
2.9.11.107
—
i45» 9
140, 23
209, 39
21191
2.5.13.163
—
—
187, 83
—
—
21 193
8.3.883
93, 112
95, 78
201, 98
5, 84
10, 56
21211
2.3.5.7.101
—
131. 45
—
88, 67
289, 7
21 221
4.5.1061
i45> J 4
—
—
—
—
21227
2.10613
3, io 3
—
—
—
21247
2.3.3541
—
—
177, 7i
142, 19
199, 41
21 269
,4-13-409
^37, 5o
—
—
—
—
21277
4.27.197
91,114
—
—
55, 78
no, 52
21 283
2.3.3547
—
4i, 99
—
40, 81
80, 54
21313
64-9-37
127, 72
145, I2
161, 48
95, 64
97, 53
21317
4.73.73
1,146
—
—
—
21 319
2. 3. 11. 17. 19
—
—
149, 21
146, 1
143, 49
21323
2.7.1523
—
69, 9 1
—
—
—
21341
4.5.11.97
5^46
— —
—
—
—
21347
i 2. 13. 821
—
87, 83
—
—
21377
128.167
89,116
117, 62
175, 68
—
2137S
i 2.3-7-5°9
—
79, 87
—
i3 6 , 3 1
229, 35
21383
2.10691
—
179, 73
—
21 391
| 2.3.5.23.31
—
—
167, 57
146, 5
161, 47
QUADRATIC PARTITIONS.
61
f
p-l
a b
c d
e f
A B
L M
21397
4-3-1783
9,146
- 35, 82
211, 39
21401
8.25.107
125, 76 !
123, 56
149, 20 | —
—
21407
2.7. 11. 139 j
—
—
193, 89 ; —
—
21419
2.10709
—
5 1 , 97
—
21 433
8.3.19.47
117, 88
25,102
155, 36125, 44
257, 27
21467
2.10733
—
75, 89
—
—
—
21481 ! 8.3.5.179
141, 40
113, 66
147, 8
77, 72
154, 48
21487 2.3.3581
—
—
153, 3 1
142, 21
284, 14
21491
2.5-7-307
—
33, IOT
—
—
21 493
4.27.199
87,118
—
—
131, 38
245, 3 1
21499
23.3583
—
139, 33
—
68, 75
136, 5°
21503 2.13.827
—
—
161, 47
—
—
2I517I4.3.11.163
131, 66
—
"3, 54
226, 36
21521
16.5.269
55,^6
39,100
187, 82
—
—
21523
2.3.17.211
—
65, 93
—
80, 71
293, 3
21529
8.9.13.23
123, 80
73, 90
177, 70
19, 84
38, 56
21557
4.i7-3!7
119, 86
—
—
21 559
2-3-3593
—
—
i47, 5
146, 9
292, 6
21 563
2.10781
—
141, 29
—
—
—
21569
64.337
95, II2
in, 68
163, 5°
—
—
21577
8.3.29.31
29,144
97, 78
147, 4
133, 36
266, 24
21587
2.43.251
—
i35, 4i
—
—
—
21 589
4.3-7.257
135, 58
—
83, 7°
127, 5 1
21599
2.10799
—
—
169, 59
—
21601
32.27.25
145, 24
143, 24
147, 2
49, 80
19 1 , 43
21611
2.5.2161
—
147, 1
—
—
—
21613
4.3.1801
147, 2
—
145, J 4
103, 53
21617
16.7. 193
79,124
147, 2
167, 56
—
—
21647
2.79.137
—
—
i75, 67
—
—
21649
16.3.11.41
65,^32
29,102
I5 1 , 24
143, 20
203, 41
21661
4.3.5. 19.19
69,130
—
119, 5°
269, 23
21673
8.9.7.43
147, 8
145, l8
i79, 72
139, 28
223, 37
21683
2.37.293
—
105, 73
—
—
21701
4-25-7-3 1
145, 26
—
—
21713
16.23.59
73,128
9,104
155, 34
—
—
21 727
2. 9. 17. 71
—
—
153, 29
118, 51
1236, 34
21737
8.11. 13.19
91,116
,147, 8
173, 64
—
21739
2.3.3623
—
*33, 45
8, 85
247, 3 1
21751
2.3.125.29
—
—
149, J5
142, 23
73, 55
21757
4-3-49-37
21,146
—
73, 74
|i49, 49
62
QUADRATIC PARTITIONS.
V
p-1
a be d
e f
A B
L M
21767 2.10883
—
, i
163, 49
—
21 773' 4-5443
83,122
—
—
—
21787
2-3-3631
—
67, 93|
140, 27
280, 18
21799
2.9.7.173
—
— 171, 61
46, 81
i 92, 54
21803
2. 11. 991
—
141, 3 1
—
—
—
21817
8.27. 101
141, 44
107, 72
165, 52
67, 76
295, 3
21821
4.5.1091
*39, 5°
— —
—
21839
2. 61. 179
—
—
l6 7, 55
—
21841
16.3.5-7.13
105,104
121, 60
i53, 28137, 32
233, 35
21851
2.25.19.23
—
147, 11
—
—
—
21859
2-3-3643
103, 75
—
56, 79
181, 45
21863
2.17.643
—
—
'49, 13
—
—
21871
2.27.81.5
—
—
161, 45
14, 85
241, 33
21881
8-5-547
109,100117, 64
197, 92
—
—
21893
4-I3-42I
i43, 38
—
—
—
—
21911
2-5-7-3I3
—
—
157, 37
—
—
21929
8.2741
5,148141, 32199, 94
—
—
21937
16.3.457
81,124115, 66183, 76
127, 44
5, 57
21 943
2-9-23.53
— 189, 83
13°, 4i
7, 57
21961
8.9.5.61
35,144127, 54163, 48
*$h 40
Mi 57
21977
8.41.67
59,136105, 74 155, 32
—
—
21 991
2.3.5.733
—
—
173, 63
146, 15
292, 10
21997
4.9.13.47
141, 46
—
—
145, 18
290, 12
22 003
2.3.19.193
—
49, 99
—
124, 47
17, 57
22 013
4-55°3
43^42
—
—
—
—
22 027
2.3.3671
—
^3, 87
—
88, 69
176, 46
22 031
2.5.2203
—
—
191, 85
—
—
22 037
4.7.787
121, 86
—
—
—
—
22 039
2.3-3673
—
—
149, 9
142, 25
217, 39
22 051
2.9.25.49
—
1,105
148, 7
169, 47
22 063
2-3-3677
—
— 169, 57
134, 37
23, 57
22 067
2.11.17.59
—
57, 97|
—
—
22 073
8.31.89
13,148
21,104
149, 8
—
—
22 079
2.7.19.83
—
—
15', 19
—
—
22 091
2.5-47-47
—
123, 59
—
—
22 093
4.3.7.263
147, 22
—
—
95, 66
190, 44
22 109
4.5527
85,122
—
—
—
—
22 111
2.3.5.11.67
—
—
193, 87
3^, 83J
287, 15
22123
2.9.1229
—
125, 57
—
140, 29^
227, 37
22 129
1
16.3.461
i5,H8i
77, 90
149, 6
3i, 84 1
62, 56
QUADRATIC PARTITIONS.
63
p
p-1
a b
c d
e f
A B
L M
*22 133
4,11.503
137, 58
—
—
22 147
2.3.3691
—
95, 81
■ —
148, 9
296, 6
22 153
83.13-7 1
117, 92
61, 96
151, 18
91, 68
«i 53
22 157
4.29. 191
29 146
—
—
—
—
22 159
2.9.1231
—
—
r 53, 25
22, 85
277, 21
22 171
2-3-5-739
—
11,105
136, 35
31, 57
22 189
4-3-43-43
45^42
—
—
1, 86
257, 29
22 193
16.19.73
17,148
141, 34
149, 2
—
—
22 229
4-5557
73,i3o
—
—
—
—
22 247
2.49.227
—
—
197, 9 1
—
—
22 259
2-31-359
—
129, 53
—
—
—
22 271
2.5.17. 131
—
—
167, 53
—
—
22 273
256.3.29
103,108149, 6
189, 82
119, 52
37, 57
22 277
4-55 6 9
31,146
—
—
—
—
22 279
2.3.47.79
—
—
171, 59
98, 65
293, "
22 283
2-13-857
—
99, 79
—
—
—
22 291
2-3-5-743
— 113, 6 9
—
112, 57
224, 38
22 303
2.27.7.59
— —
199, 93
94, 67
295, 9
22 307
2.19.587
! 33,103
—
—
—
22 343
2.11171
— —
155, 29
—
—
22 349
4-37-I5 1
125, 82; —
—
—
—
22 367
2.53.211
185, 77
—
• —
22 369
32.3-233
137, 60101, 78
191, 84
71, 76
157, 49
22 381
4-3-5-373
mi, 5°
—
—
47, 82
199, 43
22 391
2.5.2239
—
—
203, 97
—
—
22 397
4.11.509
149, 14
—
—
—
—
22 409
8.2801
53,!4oi47> 20
I5 1 , T 4
—
—
22 433
32.701
23,148
69, 94
175, 6 4
—
—
22 441
8.3.5.11.17
115, 96
79, 9oi53, 22
^3, 72
166, 48
22 447
2.9.29.43
—
—
207,101
130, 43
259, 29
22 453
4.3.1871
87,122
—
—
131, 42
262, 28
22 469
4-4I.I37
145, 38
—
—
—
—
22 481
16.5.281
95, 1 * 6
3,106
167, 52
—
—
22 483
2.9.1249
—
145, 27
—
140, 3 1
47, 57
22 501
4.9.625
1,150
—
—
149, 10
119, 53
22 511
2.5.2251
—
—
169, 55
—
—
22 531
2-3-5-75I
—
97, 81
—
116, 55
49, 57
22 541
4-5-49-23
35,M6
—
—
—
—
22 543
2.3.13.17.17
—
—
!59, 37
no, 59
287, 17
22 549
4.3.1879
7,150
—
—
19, 86
239, 35
64
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
22 567 2.3.3761
—
—
155, 27
62, 79
175, 47
22 571
2.5.37.61
—
123, 61
—
—
—
22 573
4.27. n. 19
93>n8
—
—
49, 82
295, lI
22 613
4-5653
137, 62
—
—
—
—
22 619
2.43.263
—
141, 37
—
—
—
22 621
4-3-5-I3-29
11,150
—
—
89, 70 121, 53
22 637
4.5659
131, 74
—
—
— —
22 639
2.3- 343-n
—
—
*$h 9
146, 21292, 14
22 643
2.11321
—
135, 47
—
— —
22 651
2.3.25. 151
—
149, J 5
—
76, 75J5 2 , 5°
22 669
4.3.1889
13,15°
—
—
79, 74M3, 5 1
22 679
2.17.23.29
—
—
181, 71
—
—
22 691
2.5.2269
—
129, 55
—
—
—
22 697
8.2837
109,104 15,106
163, 44
—
—
22 699
2.9.13.97
107, 75
—
32, 85223, 39
22 709
4.7. 811
103,110 —
—
— —
22 717
49.631
69,!34! —
—
23, 86281, 21
22 721
64.5.71
65^36 33, IQ 4
161, 40
—
—
22 727
2. 11. 1033
—
—
i57, 3 1
—
—
22 739
2.11369
—
39,io3
—
—
—
22 741
4-3-5-379
121, 90
—
—
67, 78
134, 52
22 751
2.125.7. 13
—
— IS*. 5
—
—
22 769
16.1423
ii&ioo^i, 38
I5 1 , 4
—
—
22 777
8-3-I3-73
149, 24103, 78
203, 96
85, 72
170, 48
22 783
2.3.3797
—
—
«.S*i 3
46, 83203, 43
22 787
2.11393
—
63, 97
—
22 807
2.9.7. 181
—
—
165, 47
10, 87
20, 58
22 811
2.5.2281
—
69, 95
123, 62
—
—
—
22 817
32.23.31
*5 f i 4
205, 98
—
—
22 853
4.29.197
127, 82
—
—
—
—
22 859
2. 11. 1039
—
147, 25
—
—
—
22 861
4.9.5.127
i9,!5
—
—
113, 58
61, 57
22 871
2.5.2287
—
—
163, 43
—
—
22 877
4.7.19.43
149, 26
—
—
—
—
22 901
4.25.229
151, 10
—
—
—
—
22 907
2. 13.881
—
3,107
—
—
—
22 921
8.3.5.191
139, 60
67, 96
189, 80
61, 80
179, 47
22 937
8.47.61
13I1 76
117, 68
175, 62
—
—
22 943
2.11471
—
—
169, 53
—
—
22 961
16.5.7. 41
145, 44
147, 26
181, 70
—
—
QUADRATIC PARTITIONS.
65
JO
p-\
a b
c d
e f
A B
L M
22 963
2.3.43.89
—
*5 J , 9
—
16, 87
32, 58
22 973
4-5743
53^42
—
—
—
■ — ■
22 993;
16.3.479
33.148
*3*i 54
165, 46
151, 8
127, 53
23 003
2-7-3 r -53
—
51,101
—
—
—
23 011:
2 -3-5- I 3-59
—
31,105
—
128, 47
269, 27
23 017
8-3-7-I37
141, 5 6
47,102
153, H
43, 84
86, 56
23 021
4.5-H5 1
125, 86
—
—
—
—
23 027
2.29.397
—
!35, 49
—
—
—
23 029
4.3.19.101
23,15°
—
—
29, 86
287, 19
23 039
2.11519
—
—
199, 91
—
—
23 041
5 I2 -9-5
129, 80
i43, 36
163, 42
127, 48
254, 32
23 053
4-3- I 7-i I 3
147, 38
—
145, 26
67, 57
23 057
16.11.131
151, 16
87, 88
155, 22
—
—
23 059
2.27.7.61
—
89, 87
136, 39
272, 26
23 063
2.13.887
—
—
179, 67
—
—
23 071
2-35-769
—
—
153, 13
98, 67
i°3, 55
23 081
8-5-577
59^40
141, 40
157, 28
—
—
23 087
2.7.17.97
—
—
167, 49
—
—
23 099
2.11549
—
93, 85
—
—
—
23117
4-5779
109,106
—
—
—
—
23 131
2-9-5- 2 57
—
109, 75
—
152, 3
3°4, 2
23 143
2.3.7.19.29
—
—
155, 21
106, 63
212, 42
23159
2.11579
—
—
203, 95
—
—
23167
2.81. 11. 13
—
—
153, 11
5°, 83
299, 11
23173
4-3.193I
113,102
—
—
149, 18
298, 12
23189
4.11. 17.31
55^42
—
—
—
—
23 197
4.3.1933
101,114
—
—
55, 82
301, 9
23 201
32.25.29
151, 20
27,106
i73, 58
—
—
23 203
2.9.1289
—
145, 33
—
116, 57
232, 38
23 209
8.3.967
147, 40
49,102
i53, 10
i39, 3^
278, 24
23 227
2.3.49.79
—
77, 93
—
148, 21
296, 14
23 251
2.3.125-31
—
151, J 5
—
152, 7
131, 53
23 269
4.3.7.277
65,138
—
—
101, 66
202, 44
23 279
2.103.113
—
—
209,101
—
—
23 291
2.5.17.137
—
147, 29
• —
—
—
23 293
4.9.647
117, 98
—
—
7i, 78
142, 52
23 297
256.7.13
89,124
75, 94
i57, 26
—
—
23 311
2.9.5.7.37
—
—
i53, 7
122, 53
281, 23
23 321
23 327
8.5.11.53
61,140
123, 64
197, 88
—
—
2. 107. 109
—
—
215,107
—
—
66
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
23 333U-i9-3°7
97,118
—
—
23 339! 2.7.1667
—
21, IO)
- —
—
23357)4-5839
i49> 34
—
—
—
23 369 8.23.127
125, 88129, 58163, 40
—
23 371
2.3.5.19.41
—
!39, 45
52, 83
197, 45
23 399
2. 1 1699
—
—
T 57, 25
—
—
23 417
8.2927
139, 64153, 2
187, 76
—
—
23 431
2.3.5. n. 71
—
—
173, 57
142, 33
284, 22
23 447
2. 19. 617
— '
—
i55, 17
—
—
23 459
2-37-3 J 7
—
•S3, S
—
—
23 473
16.9. 163
i53, 8
71, 962OI, 92
89, 72
178, 48
23 497
8.3.11.89
J 49. 36
13,108 157, 24
133, 44
h 59
23 509
4-9- 6 53
'53, 10
—
*3h 46
7, 59
23 531
2.5.13.181
—
147, 31
—
—
—
23 537
16.1471
71,136
153, 8
203, 94
—
—
23 539
2-3-3923
—
79, 93
_
136, 41
13, 59
23 549
4.7.29.29
107,110
—
—
—
—
23 557
4-3- I 3-i5 I
111,106
—
—
37, 86221, 41
23 561
8.5.19.31
131, 80
33> IQ 6
169, 50
— —
23 563
2.9.7.11.17
—
125, 63
—
76, 77155. 5i
23 567
2.11783
—
—
185, 73
— —
23 581
4-9-5- I 3 I
75^34
—
—
73, 78
146, 52
23 593
8.3.983
123, 92
115, 72
205, 96
19, 88
283, 23
23 599
2.27.19.23
—
—
i59, 29
82, 75
164, 50
23 603
2.11801
—
I2 9, 59
—
—
—
23 609
8.13.227
85,128
*53, 10
161, 34
—
—
23 623
2.3.31. 127
—
—
171, 53
70, 79
3°7, 3
23 627
2.11813
—
27,107
—
—
—
23 629
4.3.11.179
115,102
—
—
127, 50
23, 59
23 633
16. 7. 211
23,152
J35> 52
!55, H
—
—
23 663
2.11831
—
—
175, 59
—
—
23 669
4.61.97
i37, 70
—
—
—
—
23 671
2.9.5.263
—
—
197, 87
118, 57
236, 38
23 677
4-3-!973
139, 66
—
—
103, 66
206, 44
23 687
2.13.911
—
—
155, 13
—
—
23 689
8.9.7.47
117,100
19,108
183, 70
67, 80'
173, 49
23 719
2.3.59.67
—
—
187, 75;
J 54, 1
J 57, 5 1
23 741
4.5.1187
5,154
—
—
—
—
23 743
2.9.1319
—
—
<6i, 33
154, 3
308, 2
23 747:
2-3i-3 8 3
—
i53, 13
—
—
• —
QUADRATIC PARTITIONS.
67
p p~ l
a b
c d
e f
A B
L M
23 753
8.2969
43,148141, 44
215,106 —
23 761
16.27.5. 11
55» I 44
73, 96
217,108 23, 88241, 37
23 767
2.3- r 7-233
—
—
157, 21
2, 89 269, 29
23 773
4.3.7.283
133, 78
—
151, 18302, 12
23 789
4-i9-3 J 3
; 83,130
—
—
—
—
23 801
8.25.7.17
149, 40
*53, 14
193, 82
—
—
23 813
4-5953
!43> 58
—
—
1
23 819
2.11909
—
5 x , io 3
—
23 827
2.3.H.E9.I9
—
65, 99
—
8, 89275, 27
23 831
2.5- 2 3 8 3
—
—
163, 37
— —
23 833
8-9-331
27,152
55,io2
171, 52
91, 72,182, 48
23 857
16.3.7.71
12 1, 96 23,108
185, 72
25, 88289, 21
23 869
4.27.13.17
37,15°
—
—
41, 86299, 15
23 873
64.373
127, 88
in, 76
161, 32
—
—
23 879
2.11939
—
—
*73, 55
—
—
23 887
2.9.1327
—
—
177, 61
98, 69
196, 46
23 893
4.3.11.181
153, 22
—
—
61, 82
307, 7
23 899
2.3.7.569
—
43,io5
—
116, 59
293, 19
23 909
4.43.i39
95,122
—
—
—
—
23 911
2.3.5.797
—
—
203, 93
106, 65
89, 57
23 917
4.31993
5 I , I 46
—
—
143, 34
4i, 59
23 929
8.3.997
45,!48
i39, 48
159, 26
149, 24
298, 16
23 957
4.53.ii3
*$h 34
—
—
—
—
23 971
2.3.5.I7.47
—
137, 51
—
152, 17
203, 45
23 977
8.81.37
141, 64
143, 42
163, 36
53, 84
106, 56
23 981
4.5. 11. 109
109,110
—
—
—
—
23 993
8.2999
107,112
39,106
155, 4
—
—
24 001
64 3- I2 5
135, 76
149, 30
157, 18
151, 20
91, 57
24 007
2.3.4001
—
—
J55, 3
no, 63
220, 42
24 019
2.3.4003
—
Il 3, 75
—
16, 89
251, 35
24 023
2.12011
—
—
J 55, !
—
—
24 029
4.6007
155, 2
—
—
—
24 043
2.3.4007
155, 3
—
i3 6 , 43
265, 31
24 049
16.9.167
143, 60
109, 78
181, 66
121, 56
47, 59
24 061
4.3.5.401
155, 6
—
—
137, 42
274, 28
24 071
2.5.29.83
—
—
157, 17
—
—
24 077
4.13.463
19^54
24 083
2.12041
—
129, 61
—
—
—
24 091
2.3-5 II -73
—
67, 99
—
148, 27
296, 18
24 097
32.3.25 1
*5h 36
155, 6
173, 54
145, 32
49, 59
68
QUADRATIC PARTITIONS.
p
p-1
a b
c d
e f
A B
L M
24103
2.9.13.103
—
—
179, 63
130, 49277, 27
24107
2.17.709
—
123, 67
—
—
—
24109
4.3.49.41
i47, 5°
97, 70
307, 9
24113
16.11.137
47,148
141, 46
199, 88
—
24121
8.9.5.67
75,136
89, 90
161, 30
i39, 4o
259, 33
24133
4.3.2011
63,142
—
—
i55, 6
3io, 4
24 137
8.7.431
149, 44
93, 88
i57, 16
—
—
24151
2.3.25.7.23
—
—
213,103
38, 87
76, 58
24169
8-3-I9-53
155, 12
29,108
189, 76
109, 64
3°i, 15
24 179
2.7. 11. 157
—
in, 77
—
24181
4-3-5- I 3.3 I
41,15°
—
—
77, 78
154, 52
24 197
4.23.263
79,i34
—
—
—
24 203
2.12101
—
21,109
—
—
24 223
2.3.11.367
—
—
159, 23
i54, 13
193, 47
24 229
4.9.673
127, 90
—
—
149, 26
227, 41
24 239
2. 121 19
—
—
161, 29
—
' —
24 247
2.27.449
—
—
195, 83
22, 89
245, 37
24 251
2.125.97
—
99, 85
—
—
24 281
8.5.607
155, 16
9,110
203, 92
—
—
24 317
4.6079
149, 46
—
—
—
—
24 329
8.3041
35,152
129, 62
169, 46
—
—
24 337
16.9.13.13
1,156
125, 66
165, 38
i43, 36
286, 24
24 359
2. 19.641
—
—
197, 85
—
—
24 371
2-5-2437
—
63,101
—
—
—
24 373
4.9.677
73138
—
—
125, 54
250, 36
24 379
2.3.17.239
—
149, 33
—
52, 85
307, 11
24 391
2.9.5.271
—
—
163, 33
i54, 15
308, 10
24 407
2.12203
—
—
157, 11
—
—
24 413
4-17-359
i33, 82
—
—
—
24 419 2.29.421
—
39,io7
—
—
—
24 421 4.3.5-i i-37
111,110
—
—
11, 90
22, 60
24 439 2.3.4073
—
—
171, 49
26, 89
293, 21
24 443 2. 1 2 1. 1 01
—
75, 97
—
—
—
24 469
4.3.2039
87,130
—
13, 90
26, 60
24 473
8.7.19.23
37,152
105, 82
209, 98
—
—
24 481
3 2 -9-5- J 7
105,116
91, 90
159, 20
103, 68
101, 57
24 499
2.9.1361
—
i43, 45
—
76, 79
3i3, 1
24 509,
4-II.557
i55, 22
—
—
—
24 517|
4.27 227
81,134
—
—
107, 66
214, 44
24 527
2.12263
—
167, 41
—
-
QUADRATIC PARTITIONS.
69
p
P -l
a b
c d
e f
A B
L M
24 533
4-6133
103,118
—
—
24 547
2.3.4091
—
97, 87
—
28, 89
239, 39
24 551
2.25.491
—
—
i57, 7
—
—
24 571
2.27.5.7.13
—
107, 81
—
136, 45
272, 30
24 593
16.29.53
127, 92 99, 86
215,104
—
—
24 611
2.5.23.107
—
81, 95
—
—
—
24 623 2.13.947
—
—
1911 77
—
—
24 631! 2.3.5.821
—
—
i57, 3 I22 » 57
244, 3 8
24 659 2.12329
—
i53, 25
—
—
—
24 671! 2.5.2467
—
—
161, 25
—
—
24 677
4.31. 199
31,154
—
—
—
—
24 683
2.7.41.43
—
141, 49
—
—
—
24 691
2.3-5-823
—
7,111
—
152, 23
221, 43
24 697
8-9-343
19,15°
37,108197, 84
157, 4
169, 51
24 709
4.3.29.71
47,150
—
—
9i, 74
i3i> 55
24 733
4.27.229
123, 98
—
—
121, 58
295, 21
24 749
4.23.269
157, 10
—
—
—
—
24 763
2.3.4127
—
11, in
—
64, 83
185, 49
24 767
2.7.29.61
—
—
193, 79
—
24 781
4-3-5-7-59
141, 70
—
—
143, 38
257, 35
24 793
8-3-I033
*57» 12
H9, 3 6
*75, 54
155, 16
107, 57
24 799
2.3-4I33
—
—
207, 95
154, 19
211, 45
24 809
8.7.443
i55, 28
147, 40
199, 86
—
—
24 821
4-5-I7-73
89,130
—
—
—
—
24 841
8.27.5.23
125, 96
127, 66
179, 60
157, 8
x 33, 55
24 847
2.3.41. 101
—
—
167, 39
2, 91
271, 3 1
24 851
2.25.7.71
—
33,109
—
—
—
24 859
2.9.1381
—
53,105
—
4, 9 1
277, 29
24 877
4.9.691
109,114
—
127, 54
254, 3 6
24 889
8.3. 17. 61
115,108
133, 60
159, 14
61, 84
122, 56
24 907
2.3-7.593
—
155, 21
—
8, 91
265, 33
24 917
4.6229
i$h 46
—
—
—
—
24 919
2.3-4153
—
2H, 99
34, 89
233, 4i
24 923
217-733
—
45, io 7
—
—
—
24 943
2.3.4I57
—
—
J 59, 13
10, 91
283, 27
24 953
8.3119
43, J 5 2
135, 58
161, 22
—
—
24 967
2.9.19.73
—
—
213,101
158, 1
!55, 53
24 971
2. 5. 11. 227
—
147, 4i
—
—
—
2i977.
16.7.223
119,104
153, 28
185, 68
—
—
24 979
2.3.23.181
—
l 5h 33
—
152, 25
77, 59
70
QUADRATIC PARTITIONS.
p p-l
a b
c d I A B
L M
24 989
4.6247
5,i58
—
—
—
25 013
4.I3.I3.37
7,i58
—
—
—
25 031
2.5-2503
—
—
—
—
25 033
8.3.7.149
93,128
65,102
125, 56
293, 23
25 037
4.11.569
61,146
—
—
—
25 057
32.27.29
81,136
143, 48
113, 64
79, 59
25 073
16.1567
143, 68
51,106
—
—
25 087
2.3.37-113
—
—
118, 61
301, 19
25 097
8.3137
139, 76
3, 112
-
-
25111
2.81. 5.31
—
—
158, 7
i37, 55
25 117
4.3.7.13.23
149, 54
—
i37, 46
1, 61
25121
32.5.157
145, 64
in, 80
—
—
25127
2.17.739
—
—
—
—
25 147
2.9.11.127
—
125, 69
140, 43
11, 61
25 153
64.3.131
57,148
i39, 54
151, 28
235, 4i
25163
2.23.547
—
69,101
—
—
25 169
16. 121. 13
137, 80
9,112
—
—
25171
2-3-5- 8 39
—
23,111
148, 33
296, 22
25 183
2.9.1399
—
—
86, 77
3 X 7, 3
25 189
4.3.2099
15,15*
133, 5°
17, 61
25 219
2.27.467
89, 93
112, 65
83, 59
25 229 4-7-I7-53
125, 98 —
—
—
25 237
4.9.701
39,154 —
157, !4
115, 57
25 243
2.3.7.601
— 149, 39
20, 91
253, 37
25 247
2.13-971
—
—
—
—
25 253
4.59.107
17,158
—
—
—
25 261
4-3.5.42I
131, 9°
—
3 1 , 9°
62, 60
25 301 4.25-11.23
151, 5o
—
—
25 303 2.3.4217
— —
154, 23
85, 59
25 307 2.12653
— 147, 43
—
—
25 309 4.9.I9.37
53,!5° —
103, 70
3i3, »
25 321 8.3.5.211
i55, 36 83, 96
107, 68
3 11 , *3
25 339 2.3.41. 103
i IOI 5 87
92, 75
184, 50
25 343; 2.1 2671
—
—
—
25 349
4.6337
i43, 7°
—
—
—
25 357
4-3-2II3
141, 74
—
145, 38
3*i 61
25 367
2.11.1153
—
—
—
—
25 373
4.6343
107,118
—
—
—
25 391
2.5.2539
—
—
—
—
25 409
, 64.397
95, I2 8
^59, 8
—
—
QUADRATIC PARTITIONS.
71
p
p-l
a b
c d
A B
L M
25 411 1 2.3.5.7. 121
—
119, 75* 52, 87104, 58
25 423 2.3.19.223
—
—
146, 37
35, 61
25 439 2.7.23.79
—
—
—
—
25 447 2.3.4241
—
—
82, 793 J 9, 1
25 453, 4 9 7.101
147, 62
—
95, 74317, 7
25 457 16.37.43
121,104
153, 32
—
—
25 463 2.29.439
—
— ■
—
—
25 469 4.6367
155, 38
—
—
—
25 471 2.9.5.283
— ^58, i3 XI 9, 57
25 523 2.7.1823
—
159, « —
| -
25537,64.3.7.19
159, 16
47,108127, 56
41, 61
25 54l! 4.5.1277
65,146
—
—
—
25 561 8.9.5.71
35.156
107, 84
13, 92263, 35
25 577; 8.23.139
101,124
93, 92
—
25 579 2.9.49.29
—
91, 93148, 35
43, 61
25 583 2.12791
—
—
—
—
25 589 46397
25,158
—
—
25 601 1024.25
1,160
63,104
—
—
25 603 2.3.17.251
—
3i,in
160, 1
163, 53
25 609
8.3.11.97
3,160
97, 90
91, 76
3i9, 5
25 621
4.3.5.7.61
135, 86
—
i57, 18
3i4, 12
25 633
32.9.89
M3, 72
145, 48
49, ^
3*3, !3
25 639
2.3-4273
—
—
158, 15
316, 10
25 643
2.12821
—
99, 89
—
—
25 657
8.3.1069
141, 76
85, 96
67, 84
i34, 56
25 667
241.313
—
135, 61
—
—
25 673
8.3209
r 57, 32
i59> i4
—
—
25 679
2-37-347
—
—
—
—
25 693
4.3.2141
27,158
—
119, 62
305, !9
25 703
2. 71. 181
—
—
—
—
25 717
4-3-2143
151, 54
—
125, 58
49, 61
25 733
4.7.919
127, 98
—
—
—
25 741
4.9.5.11.13
45> I 54
—
143, 42
286, 28
25 747
2.3.7.613
—
103, 87
160, 7
181, 51
25 759
2-243-53
—
—
134, 5i
268, 34
25 763
2.11.1171
—
i5,n3
—
—
25 771
2-3-5-859
—
61,105
64, 85
3i9, 7
25 793
64.13.31
97,128
i59, 16
—
—
25 799
2.12899
—
—
—
—
25 801
8.3.25. 43
149, 60
i57, 24
133, 52
289, 27
72
QUADRATIC PARTITIONS.
p
p-\
a b
c d
A B
L M
25 819
2 3 I 3-33 I
—
i39, 57
124, 59
53, 61
25 841
16.5.17.19
79,140
147, 46
—
—
25 847
2.12923.
—
—
—
—
25 849
8-9-359
107,120
71,102
i57, 20
97, 59
25 867
2.27.479
—
35,m
32, 9 1
241, 41
25 873
16.3.49.11
63,148
131, 66
151, 32
55, 6l
25 889
32.809
17,160
129, 68
—
—
25 903
2.9.1439
—
—
154, 27
308, 18
25 913
8.41.79
53^52
i35, ° 2
—
—
25 919
2.12959
—
—
—
—
25 931
2.5- 2 593
—
Mi, 55
—
—
25 933
4.3.2161
83,138
—
161, 2
167, 53
25 939
2.9.11.131
—
161, 3
104, 71
3!7, 11
25 943
2.7. 17. 109
—
—
—
—
25 951
2-325-173
—
—
2, 93
4, 62
25 969
16.3.541
135, 88
137, 60
161, 4
i49, 55
25 981
4.3-5-433
59^50
—
41, 90
82, 60
25 997
4.67.97
I3 1 , 94
—
—
—
25 999
2.3.7.619
—
—
34, 91
3°7, 19
26 003
2.13001
—
i59, 19
—
—
26 017
32.3.271
41,156
5, TI 4
25, 92
251, 39
26 021
4.5.1301
161, 10
—
—
—
26 029
4.27.241
125,102
—
161, 6
322, 4
26 041
8-3-5-7-3I
21,160
7,n4
53, 88
211, 47
26 053
4.3. 13. 167
33,158
155, 26
233, 43
26 083
2.81.7.23
—
161, 9
80, 81
160, 54
26 099
2.13049
—
in, 83
—
26107
2.3.19.229
—
157, 27
160, 13
199, 49
26 111
2-5-7-373
—
—
—
—
26113
5 I2 -3-i7
153, 52
11,114
161, 8
185, 5i
26119
2.9.1451
—
—
86, 79
151, 55
26141
4-5-I307
155, 46
—
—
—
26 153
8.7.467
133, 92
141, 5 6
—
26161
16.3.5.109
81,140
i3> IX 4
103, 72
206, 48
26171
2.5.2617
—
117, 79
—
—
26177
64.409
161, 16
33, 112
—
—
26183
2.I3-I9-53
—
—
—
—
26189
46547
35,158
—
—
26 203
2.3.11.397
—
155, 33
16, 93
32, 62
26 209
32.9-7-13
145, 72
161, 12
71, 84
142, 56
QUADRATIC PARTITIONS.
73
p p-l
a b
c d
A B
L M
26 227
2.9.31.47
—
H5, 5 1
140, 47
281, 31
26 237
4-7-937
9M34
—
—
—
26 249
8.I7-I93
157, 40
159, 22
—
—
26 251
2.3.625.7
—
I49j 45
92, 77
3 2 3, 5
26 261
4.5.13.101
119,110
—
—
—
26 263
2.9.1459
—
—
5°, 89317, 13
26 267 2.23.571
—
27>i'3
— —
26 293[4.3.7-3i3
7,162
—
115, 66230, 44
26 297 8. 19. 1 73
149, 64
153, 38
• —
—
26 309
4.6577
97,13°
—
—
26 317
4.9.17.43
5M54
—
i45, 42
290, 28
26 321
16.5.7.47
161, 20
93, 94
—
—
26 339
2.13.1013
—
J 59, 23
—
—
26 347
2-3-4391
—
115, 81
20, 93
40, 62
26 357
4.11.599
71,146
—
26 371
2.9.5.293
—
161, 15
J 5 2 , 33 3°4, 22
26 387
2.79.167
—
87, 97
—
—
26 393
8.3299
67,148
69,104
—
—
26 399
2.67.197
—
—
—
—
26 407
2.81. 163
—
—
82, 81
164, 54
26 417
16.13. 127
89,136
i35, 64
—
—
26 423
2.11.1201
—
—
—
—
26 431
2.3.5.881
—
—
22, 93
44, 62
26 437
4.3.2203
159, 34
—
133, 54
266, 36
26 449
16.3.19.29
95^32
i57, 30
119, 64
73, 61
26 459
2.13229
—
3,n5
—
—
26 479
2.9.1471
—
98, 75^6, 5°
26 489
8.7. 11.43
83,140
117, 80
— —
26 497
128.9.23
161, 24
127, 72
73, 84146, 56
26 501
4.125.53
i45> 74
—
• —
26 513
16.1657
137, 88
105, 88
—
—
26 539
2-3-4423
—
67,105
124, 61
307, 21
26 557
4.3.2213
149, 66
—
7, 94
289, 29
26 561
64-5-83
31,160
81,100
—
—
26 573
4-7-13-73
163, 2
—
—
—
26 591
2.5.2659
—
—
—
—
26 597
4.61. 109
161, 26
—
—
—
26 627
2.13313
—
33, IJ 3
—
—
26 633
8.3329
163, 8
159, 26
—
—
26 641
16.95.37
129,100
163, 6
113, 68
3i7, 15
74
QUADRATIC PARTITIONS.
p
p-1
a be d
A B
L M
26 647
2.3.4441
_ _
130, 57
260, 38
26 669
4-59-II3
163, 10 —
—
—
26 681
8.5 23.29
115,116123, 76
—
—
26 683
2-3-4447
—
131, 69160, 19
217, 47
26 687
2.11.1213
—
—
—
—
26 693
4.6673
113,118, —
—
—
26 699
2.7.1907
— 93, 95
—
—
26 701
4.3.25.89
99>i3o —
49, 90
98, 60
26 711
2.5.2671
— —
—
—
26 713
8-9-7 53
163, 12, 91, 96
59, 88205, 49
26 717
4.6679
139, 86 —
—
—
26 723 2. 31. 431
— 129, 7i
—
—
26 729 8.13.257
i55, 5 2 ; 99, 92
—
—
26 731 2.343.5.11
— 163, 9
28, 93
56, 62
26 737 ( 16.3.557
49» I 5 6 , 77,io2
97, 76325, 7
26 759! 2.17.787
— —
—
—
26 777: 8.3347
91,136 87, 98
—
—
26 783.2.7.I9I3
— —
—
—
26 801 16.25.67
145, 76; 5 1 , 110
—
—
26 813 4.6703
43,158
—
—
—
26 82lU-9-5- I 49
161, 30
—
139, 5°
11, 63
26 833; 16.3.13.43
97,132 29,114
145, 44 13, 63
26 839 2.27.7.71
— —
158, 25 83, 61
26 849 32.839
143, 80159, 28
26 861
4-5-17-79
125,106
—
— —
26 863
2.3.121.37
—
—
146, 43 J 7, 63
26 879
2.89.151
—
—
— —
26 881
25 6 -3-5-7
i59, 40
113, 84
i37, 5 2 | 19, 63
26 891
2.5.2689
—
21,115
— —
26 893
4.81.83
163, 18
—
161, 18322, 12
26 903
2.13451
—
—
—
—
26 921
8.5.673
5, l6 4
3,n6
—
—
26 927
2.13463
, —
—
—
—
26 947
2.27.499
—
i43, 57
14.8, 41 25, 63
26 951
2. 25. 49.11
—
—
26 953
8.3.1123
157, 48
3 I , II 4
61, 88325, 9
26 959
2-3-4493
—
—
46, 91 319, 15
26 981
4.5.19.71
95,!34
—
—
—
26 987
2.103.131
—
123, 77
—
—
26 993
16.7. 241
103,128
9,116
—
— .
QUADRATIC PARTITIONS.
75
V
P -l
a b
c d
A B
L M
27 011 2.5.37.73
57, 1Q 9
_
27 017 8.11.307
11,164
147, 52
—
—
27 031 2.3.5.17.53
—
—
i34, 55
31, 63
27 043 2.3.4507
—
49,111
164, 7*43, 57
27 059 2.83.163
—
39, ri 3
—
—
27 061 ! 4.3.5 u.41
135. 94
—
83, 82
J63, 55
27 067 2.3.13.347
—
i55, 39
80, 83329, 1
27 073 64.9.47
63,152
161, 24
41, 9 2 ;3!7, 17
27 077
4.7.967
161, 34
—
— —
27 091
2 -9-5-7-43
—
71,105
4, 95,281, 33
27 103
2.3-45 J 7
—
—
34, 93
68, 62
27107
2 - I 3553
—
J 53, 43
—
—
27109
4.27.251
*45i 7 8
—
53, 90
106, 60
27127
2.9.11.137
—
—
58, 89
209, 49
27 143
2.41.33 1
—
—
—
—
27179
2. 107. 127
—
27,n5
—
—
27 191
2.5.2719
—
—
—
—
27197
4.I3-523
59,^54
—
—
—
27 211
2.3.5.907
—
*33, 69
152, 37
41, 63
27 239
2.13619
—
—
—
—
27 241
8.3.5.227
165, 4
i57, 36
43, 92
233, 45
27 253
4-9-757
153, 62
—
131, 58
43, 63
27 259
2.3.7.11.59
—
i39, 63
164, 11
197, 5 1
27 271
2.27.5. 101
—
—
14, 95 299, 27
27 277
4-3-2273
141, 86
—
95, 78190, 52
27 281
16.5.11.31
41,160
153, 44
—
—
27 283
2-3-4547
—
119, 81
124, 6s
248, 42
27 299
2.13649
—
129, 73
—
—
27 329
64.7.61
65,152
i59, 32
—
—
27 337
8.3.17.67
21,164
115, 8 4
163, 16
211, 49
27 361
32.9.5.19
55,156
37, JI 4
i43, 48
286, 32
27 367
2.34561
—
142, 49
289, 31
27 397
4.9.761
159, 46
—
85, 82
33h 1
27 407
2.71. 193
—
—
—
—
27 409
16.3.571
105,128151, 48
79, 84
158, 56
27 427
2.3-7-653
—
7,n7
88, 81
176, 54
27 431
2.5.13-211
—
—
—
—
27 437
4.19.19.19
6i 5 i54
—
— •
—
27 449
8.47.73
43,160
57,no
—
—
27 457
64.3.11.13
129,104
95, 96
65, 88
i99, 5 1
76
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
27 479 2. ii. 1249
—
—
—
27 481 8.3.5.229
165, 16
137, 66
91, 80149, 57
27 487 2.27.509
—
—
158, 29245, 43
27 509, 4.13.23.23
103,130
—
— .
—
27 527
2.13763
—
—
—
—
27 529
8.3-3 I 37
75>i48
13 1 , 72
101, 76
127, 59
27 539 2.49.281
—
33 5 n5
—
-
27 541i 4.81. 5. 17
7M5
—
163, 18
326, 12
27 551 2.25.19.29
—
—
—
—
27 581 4.5-7.I97
5,166
—
—
—
27 583 2.3.4597
—
—
166, 3
332, 2
27 611 2.5.11.251
—
123, 79
—
—
27 617 32.863
119,116
165, 14
—
—
27 63l| 2.9.5.307
—
—
166, 5
15*1 57
27 647| 2.23.601
—
—
—
—
27 653 4-31.223
113,122
—
—
—
27 673|8.3.ii53
123,112
41,114
5, 96
10, 64
27 68918.3461
133,100
51,112
—
—
27 691 2.3.5. 13.71
■ —
157, 39
'°4, 75
208, 50
27 697 16.3.577
111,124
83,102
7, 96
14, 64
27 701 4.25.277
151, 7o
—
—
—
27 733' 4.3.231 1
87,142 —
35, 94
247, 43
27 737 8.3467
29,164165, 16
—
27 739 2.9.23.67
—
19,117
116, 69
232, 46
27 743 2. 1 1. 13.97
—
—
—
—
27 749 47.991
145, 82
—
—
—
27 75i; 2.3.125.37
—
—
26, 95
3 11 , 23
27 763 2.3.7.661
—
121, 81
164, 17
215, 49
27 767 2.13883
—
—
—
—
27 773 4.53.131
53,158
—
—
—
27 779 2. 17. 19.43
—
81,103
—
—
27 791 2.5.7.397
—
—
—
—
27 793, 16.9.193
127,108125, 78
49, 92
227, 47
27 799 2.3.41.113-
—
—
166, 9
332, 6
27 803.2.1 390 1
—
165, 17
—
—
27 809; 32.11.79
47,160
in, 88
—
—
27 817| 8.3.19.61
59,156
67,108
13, 96
26, 64
27 823 2.3.4637
—
—
154, 37
265, 39
27 827
2.13913
—
153, 47
—
—
27 847
2.9.7.13.17
—
—
158, 31
65, 63
QUADRATIC PARTITIONS.
77
p
p-1
a b
c d
A B
L M
27 851
2-25.557
—
I 99, 95
_ __
27 883
2.9.1549
—
9i, 99
44, 93 88, 62
27 893
4.19.367
167, 2
—
— —
27 901
4.9.25.31
165, 26
—
l6 7, 2,173, 55
27 917
4.7.997
19,166
—
— —
27 919
2. 27. 11. 47
—
! _
166, 11133, 59
27 941
4.5.11.127
65,154
—
— —
27 943
2-3-4657
—
—
146, 47287, S3
27 947
2.89.157
—
165, 19
—
—
27 953
16.1747
167, 8105, 92
—
—
27 961
8.3.5-233
85,144167, 6
131, 60262, 40
27 967
2.3-59-79
—
—
T42, 51284, 34
27 983
2.17.823
—
—
— —
27 997
4-3-2333
21,166
—
167, 6334, 4
28 001
32.125.7
49,160
33,116
—
—
28 019
2.14009
—
!59, 37
—
—
28 027
2.81. 173
—
163, 27 140, 53
299, 29
28 031
2.5.2803
—
— —
—
28 051
2.3.25. 11. 17
167, 9124, 65
7*i 6 3
28 057
8.3.7.167
61,156
133, 72 ^3, 84
166, 56
28 069
4.3.2339
95>*38
—
J 39, 54
278, 36
28 081
16.27.5.13
i45» 84
109, 90
167, 8
*9h 53
28 087
2-3-3 I - I 5 I
—
-
no, 73
109, 61
28 097
64.439
121,116
75,!o6
—
—
28 099
2.9.7.223
—
161, 33
32, 95
3 J 7, 21
28109
4.7027
115,122
—
—
—
28 111
2-3-5-937
—
106, 75
212, 50
28 123
2.3.43.109
—
59,iii
160, 29
73, 63
28 151
2.25 563
—
—
—
—
28163
2.14081
—
in, 89
—
—
28 181
4.5.1409
25,166
—
—
—
28 183
2.3.7. 11. 61
—
—
74, 87
148, 58
28 201
8.3-25.47
51,160
47,n4
53, 92
329, J 3
28 211
25-7-13.31
—
153, 49
—
—
28 219
2-3-4703
—
29,117
164, 21
328, 14
28 229
4.7057
127,110
—
—
—
28 277
4.7069
l$h 74
—
—
—
28 279
2.9-i57i
—
154, 39
308, 26
28 283
2.79.179
—
165, 23
—
—
28 289
128.13.17
167, 20
21,118
1
—
—
78
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
28 297
8.27.131
99,136127, 78163, 24326, 16
28 307
2.14153
— 135. 7i
— —
28 309
4-3-7-337
153, 7o
109, 74113, 61
28 319
2.14159
—
—
—
28 349
4-19-373
107,130
—
—
28 351
2.81.25.7
—
122, 67
79, 63
28 387
2.9.19.83
—
i43, 63
68, 89335, 7
28 393
8.-3-7-*3-»3
13,168
49,114
85, 84170, 56
28 403
2.11.1291
—
9,119
—
—
28 409
8.53-67
53>i6o
153, 50
—
—
28 411
2-3-5-947
_
131, 75
88, 83
161, 57
28 429
4.3- 2 3.io3
77,15°
—
79, 86179, 55
28 433
16.1777
73,152
39,u6
—
—
28 439
2.59.241
—
—
—
—
28 447
2.3.11.431
—
—
50, 93100, 62
28 463
2. 7. 19.107
—
—
—
—
28 477
4.9.7. 1 13
69,154
—
167, 14
209, 51
28 493
4.17.419
i57, 62
—
—
—
28 499
2.14249
—
129, 77
—
—
28 513
32. 81. 11
17,168
161, 36
121, 68
83, 63
28 517
4.7129
31,166
—
—
—
28 537
8.3.29.41
i39, 96
167, 18
157, 36
3M, 24
28 541
4.5.1427
85,146
—
—
—
28 547
2.7.2039
—
i5, JI 9
—
—
28 549
4.9.13.61
143, 9°
—
149, 46
11, 65
28 559
2.109. 131
—
—
—
—
28 571
2.5.2857
—
i47, 59
—
—
28 573
4.3.2381
117,122
—
169, 2
163, 57
28 579
2.3.11-433
—
169, 3
116, 71
329, i5
28 591
2.3.5.953
—
—
142, 53
17, 65
28 597
4-3-2383
169, 6
—
163, 26
85, 63
28 603
2.9.7.227
—
35>"7
104, 77
335, 9
28 607
2.14303
—
—
—
—
28 619
2.41.349
—
99, 97
—
—
28 621
4.3.5.9.53
125,114
—
161, 30
322, 20
28 627
2.3.13.367
—
95, 99
20, 97
271, 39
28 631
2.5.7.409
—
—
—
—
28 643
2.14321
—
159, 4i
—
—
28 649
8.3581
i55, 68
93,100
—
—
28 657
16.9.199
89,144
73,io8
167, 16
119, 61
QUADRATIC PARTITIONS.
79
V
p-1
a b
c d
A B
L M
28 661 1 4-5-I433
169, 10
—
—
28 663 2.3.17.281
—
—
70, 89
,197, 53
28 669 4.3.2389
165, 38
—
169, 6
338, 4
28 687 2.3.7.683
—
—
62, 91
211, 5 1
28 697, 8.17. 211
101,136
105, 94
—
—
28 703 2.113.127
—
—
—
—
28 7111 2.9.5. 11. 29
—
—
22, 97
3i3, 25
28 723 2.3.4787
—
169, 9
Joo, 79 337, 7
28 729 8.27.7.19
75, J 5 2
89,102
T 39, 56
29, 65
28 751 2.625.23
—
—
—
—
28 753 16.3.599
23,168
121, 84
169, 8
145, 59
28 759 2.3.4793
—
—
i54, 4i
3i, 65
28 771 : 2.3.5.7.137
—
167, 21
164, 25
89, 63
28 789 4-3-2399
167, 30
—
67, 9°
134, 60
28 793 8.59.61
83,148
165, 28
—
—
28 807 2.3.4801
—
—
130, 63
260, 42
28 813 4-3-2401
93>i42
—
1, 98
293, 33
28 8171 16.1801
169, 16
r 53, 52
—
28 837 4.81.89
161, 54
5, 98
299, 3i
28 843 2.3.11.19.23
—
J 39, 69
124, 67
325, 19
28 859 2.47.307
—
141, 67
—
—
28 867
2.3.17.283
—
65,111
160, 33
320, 22
28 871
2.5.2887
—
—
—
—
28 879
2.3.4813
—
—
166, 21
332, 14
28 901
4.25-17-17
1,170
—
—
— '
28 909
4-9-II.73
3,i7o
—
49, 94
33i, 15
28 921
8.3.5.241
45, l6 4
11,120
163, 28
247, 45
28 927
2.9.1607
—
—
170, 3
34o, 2
28 933
4.3-2411
63,158
—
11, 98
305, 29
28 949
4.7237
7,170
—
—
—
28 961
32.5.181
169, 20
69,110
—
—
28 979
2.14489
159, 43
—
—
29 009
16.49.37
97,140
99, 98
—
—
29 017
8.9.13.3T
91,144
55,n4
37, 96
74, 64
29 021
4-5- I 45 I
11,170
—
—
—
29 023
2.3.7.691
—
—
106, 77
125, 61
29 027
2.23.631
—
J 53, 53
—
—
29 033
8.19. 191
77,152
81,106
—
—
29 059
2.3.29.167
41,117
128, 65
323, 21
29 063
2.11.1321
—
—
—
"~
80
QUADRATIC PARTITIONS.
p
p-\
a b
c (1
A B
L M
29 077
4-3-2423
39,166
—
83, 86341, 1
29 101
4-3- 2 5-97
115,126
—
17, 98
3"> 2 7
29 12:3
2.14561
—
129, 79
—
—
29 129,
$.11,331
85,148
141, 68
—
—
29 131
2.3-5-97I
—
67,111
92, 83341, 3
29 137
16.3 607
169, 24
137, 72
145, 52301, 31
29 147
2.13.19.59
—
165, 3'
—
—
29153
32.911
113,128159, 44
—
—
29167
2.3.4861
— —
122, 69244, 46
29173
4.3.11. 13.17
137,102 —
19, 98275, 39
29 179
2.9.1621
— i°9» 93
152, 45
304, 30
29 191
2-3-5-7-I39
— —
46, 95
239, 47
29 201
16.25.73
151, 80; 87,104
—
—
29 207
2.17.859
— t —
—
—
29 209
8.3-1217
155, 72169, 18
109, 76
337, «
29 221
4.3-5-487
111,130
—
i33, 62
53, 65
29 231
2.5-37-79
—
—
—
—
29 243
2. 1462 1
—
171, 1
—
—
29 251
2.9.125. 13
—
127, 81
32, 97
259, 43
29 269
4.27.271
55^62
—
163, 30
326, 20
29 287
2.9.1627
—
—
98, 81
196, 54
29 297
16.1831
49,164
147, 62
—
—
29 303
2.49.13.23
—
—
—
—
29 311
2-3-5-977
—
—
58, 93
116, 62
29 327
2.11. 31.43
—
—
—
—
29 333
4-7333
167, 38
—
—
—
29 339
2.14669
—
171, 7
—
—
29 347
2.3.67.73
—
167, 27
140, 57
280, 38
29 363
2.53-277
—
9,121
—
—
29 383
2.3-59-83
—
—
34, 97
325, 21
29 387
2.7.2099
—
75>i°9
—
—
29 389
4-3-31-79
83,150
—
161, 34
59, 65
29 399
2.14699
—
—
—
—
29 401
8.3.25.49
99,140
149, 60
101, 80
34i, 7
29 411
2.5- J 7-i73
—
33,n9
—
—
29 423
2.47-313
—
—
—
—
29 429
4.7.1051
23,170
—
—
—
29 437
4.3.11.223
171, 14
—
25, 98
269, 41
29 443
2.3.7.701
—
169, 21
,116, 73
103, 6 3
29 453
4-37-199
67,158
—
_
—
QUADRATIC PARTITIONS.
81
p
p-1
a b
c d
A B
L M
29 473;
3 2 -3-3°7
87,148
59tM4
79, 88
343, 3
29 483
2.14741
—
171, 11
—
—
29 50l|
4.125-59
155. 74
—
—
—
29 527!
2-3-7-I9-37
—
—
I5 8 , 39
316, 26
29 531
2.5- 2 953
—
117, 89
—
—
29 537^
32.13.71
119,124
165, 34
—
—
29 567
2.14783
—
—
—
—
29 569
128.3.7.11
63,160
79,108
137, 60
2 74, 40
29 573
4-7393
97,142
—
—
—
29 581
4-3-5- I 7-29
45,166
—
97, 82
343, 5
29 587
2.3-4931
—
47,117
172, 1
i75, 57
29 599
2-3-4933
—
—
14, 99
28, 66
29 611
2.9.5.7.47
—
163, 39
172, 3
344, 2
29 629
4.9.823
27,170
—
73, 90
146, 60
29 633
64.463
7,172
171, 14
—
—
29 641
8.3.5-*3-*9
171, 20
29,120
163, 32
67, 65
29 663
2.14831
—
—
—
—
29 669
4.7417
113^3°
—
—
—
29 671
2.3.5.23.43
—
—
38, 97
253, 45
29 683
2.9.17.97
—
71,111
100, 81
200, 54
29 717
4.17.19.23
169, 34
—
—
—
29 723
2. 7. n. 193
—
21,121
—
—
29 741
4.5.1487
29,170
—
—
—
29 753
8.3719
13,172
171, 16
—
—
29 759
2.14879
—
—
—
29 761
64.3.5.31
95, r 44
31,120
169, 20
109, 63
29 789
4.11.677
i33> 110
—
—
—
29 803
2.3.4967
—
101, 99
20, 99
40, 66
29 819
2.17.877
—
171, 17
—
—
29 833
8.3.11.113
i57, 72
95,102
155, 44
287, 37
29 837
4 7459
109,134
—
—
—
29 851
2.3.25.199
—
157, 5i
128, 67
73, 65
29 863
2.27.7.79
—
—
134, 63
268, 42
29 867
2. 109.137
—
93, io 3
—
—
29 873
16.1867
17,172
45» IlS
—
—
29 879
2.14939
—
—
—
—
29 881
8.9.5.83
141,100
107, 96
67, 92
209, 53
29 917
4.27.277
171, 26
—
167, 26
245, 47
29 921
32.5-n.17
55, l6 4
123, 86
—
—
29 927
2.13.1151
—
—
—
—
82
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
29 947
2.3.7.23.31
—
*73i 3
172, 11
i39, 61
29 959 2.3.4993
—
—
106, 79
343, 9
29 983i 2.3.19.263
—
—
170, 19
113, 63
29 989 4.9.49.17
33, J 7o
—
59, 94
223, 51
30 011
2.5.3001
—
27,121
—
—
30 013
4.3.41.61
123,122
—
169, 22
235, 49
30 029 4-7507
i73, IO
—
—
—
30 047! 2.83. 181
—
—
—
—
30 059 2.7.19.1 13
—
i47, 65
—
—
30071 2.5.31.97
—
—
—
—
30 089! 8.3761
67,160
129, 82
—
—
30 091
2-3-5-!7-59
—
173, 9
172, 13
211, 53
30 097
16.9.11.19
129,116
163, 42
113, 76
IJ 5, 63
30 103
2.3.29.173
—
—
86, 87
172, 58
30109
4-3- I 3- I 93
i55, 78
—
89, 86
347, 1
30 113
3 2 -94i
23,172
165, 38
—
—
30 119
2.11. 37.37
—
—
—
—
30 133
4-243-31
i53, 82
—
109, 78
218, 52
30 137! 8.3767
139,104
i53, 58
—
—
30 139 2.3.5023
—
149, 63
92, 85
163, 59
30161 16.5.13.29
169, 40
57,n6
—
—
30169 8.9.419
163, 60
37,120
13,100
3*3, 29
30 181
4-3-5-5°3
159, 7o
—
37, 98
257, 45
30187
2.27.13.43
—
53,H7
28, 99
56, 66
30 197
4-7549
151, 86
—
—
—
30 203
2.15101
—
99,101
—
—
30 211
2 -3-5- I 9-53
—
io 3, 99
56, 95
34i, 13
30 223
2.9.23.73
—
— 170, 21
34o, 14
30 241
32.27.5.7
145, 9 6
127, 84167, 28
83, 65
30 253
4.3.2521
173, 18
—
161, 38
275, 4i
30 259
2.9.41.41
—
1,123
!7 2 , 15
344, 10
30 269
4.7.23.47
37,i7o
—
—
—
30 271
2.3.5.1009
—
—
98, 8 3
347, 5
30 293
4-7573
73,i58
—
~
—
30 307
2-3-5051
—
7,123152, 49
5, 67
30 313
8.9.421
27,172
109, 96149, 52
7, 67
30 319
2.3.31. 163
—
—
74, 91
i99, 55
30 323
2.15161
—
81,109
—
—
30 341
4-5-37-4I
95,^6
—
—
—
30 347
a.15173
—
45, 1J 9
~
—
QUADRATIC PARTITIONS.
83
p
p-l
a b
c d
A B
L M
30 367
2.9.7.241
—
—
, 1
i3°, 67331, 21
30 3b9
4.71. 107
167, 50
—
—
—
30 391
2.3.5.1013
—
—
146, 55
19, 67
30 403 2.27.563
—
55,n7
136, 63272, 42
30 427
2. 3. n. 461
—
i3> 12 3
32, 99
64, 66
30 431
2. 5. 17. 179
—
—
—
—
30 449
16.11.173
143,100
51,118
—
—
30 467
2.15233
87,107
—
—
30 469 4 .3-2539
65,162
—
91, 86
!67, 59
30 491
2-5-3°49
—
171, 25
—
30 493
4.9.7. 121
107,138
—
4i, 98 335, 19
30 497
32.953
169, 44
27,122
—
—
30 509 4.29.263
125,122
—
—
—
30 517 4.3.2543
121,126
—
i73, 14^15, 53
30 529j 64.9.53
127,120
161, 48
23,100277, 41
30 539 2.15269
—
141, 73
—
—
30 553 8.3.19.67
93,148
85,108
115, 76343, 13
30 557i 4.7639
139,106
—
—
—
3055912.3.11.463
—
—
34, 99
68, 66
30 577 16.3.49-13
79, I 5 6 j i73, 18
97, 84
194, 56
30 593: 128.239
167, 52 171, 26
—
—
30 631! 2.3.5.1021
—
—
134, 65329, 23
30 637| 4.9-23-37
i9,!74
—
175, 2
169, 59
30 643| 2.3.5107
—
175, 3
160, 41
37, 67
30649^.3.1277
H5, I 32
43,120107, 80
347, 9
30 661! 4-3-5-7-73
i75, 6
43, 98
251, 47
30 671 2.5.3067
— —
—
—
30 677 4.7669
169, 461 —
—
—
30 689 32.7.137
J75, 8159, 52
■ —
—
30 697 8.3.1279
141,104175, 6
173, 16
125, 63
30 703 2.3.7.17.43
—
—
10,101
293, 37
30 707 2.13.1181
— i35, 79
—
—
30 713 8.11.349
i73, 28 75,112
—
—
30 727 2.27.569
—
—
5°, 97
241, 49
30 757 j4.-3.11.233
159, 74
—
i33, 66
266, 44
30 763 1 2.9.1709
—
125, 87
140, 61
43, 6 7
30 773 4-49-157
103,142
—
—
—
30 781 4.81. 5. 19
9i,i5
—
103, 82
349, 7
30 803 2. 1 540 1
39, 121
—
30 809
,8.3851
35,!7 2
171, 28
—
—
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
30 817
32.9.107
1
jin,i36
143, 72175, 8151, 61
30 829
4-3.7-367
173, 30
— 127, 70337, 19
30 839
2.17.907
—
— —
—
30 841
8.3-5-257
171, 40
I2Ij 90, 29,100
271, 43
30 851
2.25.617
—
J 53, 6i| —
—
30 853 4-9-857
143,102
— |i39, 62
, 47, 67
30 859| 2.3.37.139
—
59,ii7| 16,101
,287, 39
30 869' 4.7717
137,110
— —
—
30 871 2.9.5.343
—
— 122, 73
97, 65
30 881 32.5.193
175. l6
63,116 —
—
30 893,4-7723
77,i58
—
—
30 911: 2.5. 11. 281
—
—
—
30 931 2.3.5.1031
—
167, 39' 52, 97
343, 15
30 937J 8.3.1289
101,144
137, 78i55, 48
310, 3 2
3094114.5.7.13.17
85,154
—
—
30 949 4.3.2579
i75, 18
149, 54
298, 36
30 971 2. 5. 19.163
—
123, 89
—
30 977 256.121
1,176
*5?«4
—
—
30 983; 2.7.2213
—
—
—
31013 4-7753
127,122
—
—
—
31019 2.13.1193
—
99,io3
—
—
31033 8.9.431
53,i68
71,114
131, 68
335, 21
31 039| 2.3.7.739
—
—
158, 45
316, 30
31 051; 2.27.25.23
—
107, 99
176, 5
191, 57
31063 2.3.31. 167
—
—
146, 57
292, 38
31 069' 4.9.863
165, 62
—
121, 74
101, 65
31079 2.41.379
—
—
—
—
31081 8.3.5.7.37
i55, 84
i73, 24
109, 80
131, 63
31091 2.5.3109
—
129, 85
—
—
31121 16.5.389
65,164
93,106
—
—
31 123 2.9.7. 13.19
—
161, 51
176, 7
155, 61
3II392.15569
—
in, 97
—
31 147 2.3.29.179
—
J 57, 57
160, 43
289, 39
31 151 2.25.7.89
—
—
—
31 153 16.3. 1 1.59
153, 88
169, 36
89, 88
*75> 59
31159 2.27.577
—
—
86, 89
353, 1
31 177 8.9.433
i7r, 44
163, 48
125 72
250, 48
31 181 4.5.1559
H5, J 34
—
—
—
31183, 2.3.5197
—
—
130, 69
260, 46
31 189
4.3-23-113
105,142
—
83, 90
166, 60
QUADRATIC PARTITIONS.
85
P
v-
abed
A B L M
31 193! 8.7.557
31 219
31 223
31 231
31 237
2.3.121.43
2.67.233
2 -9-5-347
4-3-I9-I37
31247! 2.17. 919
31249! 16.9.7. 31
31 253, 4. 13.601
31259: 2.15629
31267 2.81. 193
31 271
2 -5-53-59
31277 4.7.1117
31307 2. 11. 1423
31319 2.7.2237
31321 8.27.5.29
31327 2.3.23.227
31333|4-3-7-373
31337
31357
31379
8.3917
4.9-13-67
2.29.541
31387 2.3.5231
31391 2.5.43.73
31 393 32.9.109
31 397! 4.47.167
31469 4.7867
31477:4.3.43.61
31 481! 8.5.787
31 489| 256.3.41
31511[ 2.5.23.137
31 513^.3.13.101
31 517| 4.7879
31 531 2.3.5.1051
31541 4.5.19.83
3154312.3.7.751
31547 2.15773
31567 2.3.5261
31573:4.9.877
31 583. 2.15791
31601! 16.25.79
31607 2.15803
163, 68
3M74
! 55> l6 8
21,124 — —
3 I > I2 3 I 76, 935 2 > 6
— J166, 35 ! 61, 67
— 5,102 io, 68
»,io8 143, 60286, 40
167, 58 — j — I —
3,i 2 5! — —
127, 87 112, 79349, 11
6 1', 1 66
65, 64
45> 121 ! —
73,114 77, 9 2 353, 5
— '142, 61325, 27
177, 2 — j 11,102 22, 68
19,176177, 2 —
171, 46 — 167, 34 65, 67
177. 5 —
— J173, 27; 28,101275, 43
!77, 8145, 72 175, 16223, 53
|i6i, 74 — — —
W* 70. —
I169, 54 — 115, 78230, 52
1109,140 27,124 —
167, 60139, 78 119, 76109, 65
1123,128151, 66 91, 88355, 1
101,146! — — —
— I 83,111 152, 53311, 33
121,1301 —
. — — j 94, 87 188, 58
— I 93>!°7 —
! 82, 91
73,162 — j 19,102
25^76 153, 64 —
355, 3
38, 68
86
QUADRATIC PARTITIONS.
• p
p-l
a b
c d
A BJ L M
31 627
2.9.7.251
—
37,123
32,101.
535, 23
31 643!
2. 13.1217
[65, 47
—
—
31 649
32.23.43
H5, 32
81,112
—
—
31 657|
8.3.1319
69,164
115, 9 6
173, 24.
346, 16
31 663
2.9.1759
—
—
166, 37
277, 43
31 667
2.71.223
—
177, i3
—
—
31 687
2.3.5281
—
—
178, 1
181, 59
31 699
2.27.587
—
i43, 75
68, 95
353, 9
31 721
8.5.13.61
n5>!3 6
i77, i4
—
—
31 723
2. 3.17. 311
—
149, 69
76, 93
152, 62
31 727
2.29.547
—
—
—
—
31 729
16.3. 661
177, 20
i73, 30
161, 44
293, 39
31 741
4-3-5- 2 3- 2 3
I7 1 , 5°;
—
23,102
46, 68
31 751
2.125.127
—
—
—
—
31 769,
8.11. 19.19
155, 88
87,110
—
—
31 771
2.9-5-353
—
163, 5 1
172, 27
344, 18
31 793
16.1987
47>i72
45,122
—
—
31799
2. 13.1223
—
—
—
—
31817
8.41.97
29,176
63,118
—
—
31847
2.15923
—
—
—
—
31 849
8.3.1327
165, 68
i57, 60
43,100
343, 19
31859
2.17.937
—
i53, 65
—
—
31 873
128.3.83
i53> 92
11,126
65, 96
130, 64
31883
2.19.839
—
51,121
—
—
31891
2.3.5.1063
—
i37, 81
8,103
3 QI , 37
31 907
2.7-43-53
—
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—
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4.3.2663
4i 3 i74
—
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251, 49
31963
2.3.7.761
—
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136, 67
337, 23
31 973
4-7993
17,178
—
—
—
31981
4.3-5- J 3-4i
141,110
143, 62
329, 27
31 991
2-5-7-457
—
—
—
—
32 003
2.16001
—
135, *2
—
32 009
8.4001
125,12?
159, 5*
—
32 027
2.67.239
—
165, 4S
i 1 —
—
32 028
43.J7.I57
123,13c
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32 051
2.25.641
—
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8.4007
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—
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) 2.9.13.137
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► 119, 6 5
32 06;
1 2. 17. 23.41
—
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) 4.8017
i75, 3*
5 —
—
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QUADRATIC PARTITIONS.
87
p p—1
a b
c d
A B
L M
32 077
4.729.11
179, 6
—
175, 22
241, 5 1
32 083
2-3-5347
—
175, 27
16,103
325, 29
32 089
8.3.7. 191
133,120
169, 42
179, 4
167, 61
32 099
2.11.1459
—
81,113
—
—
32 117
4-7-3M7
U9 5 i34
—
—
—
32 119
2.3.53.101
— —
166, 39
332, 26
32 141
4.5.1607
179, 10
—
—
32 143
2.3.11.487
—
r 54, 53
5, 69
32 159
2.7.2297
—
—
32173
4.3-7-383
77,162
—
31,102
62, 68
32183
2.16091
—
—
—
—
32 189
4-i3-6i9
85,158
—
—
—
32 191
2-3-5- 2 9-37
—
—
178, 13
217, 55
32 203
2.9.1789
—
179, 9
40,101
263, 47
32 213
4-8053
23,178
—
—
—
32 233
8.3.17.79
173, 48
79,n4
179, 8
203, 57
32 237
4.8059
J 79, 14
—
—
32 251
2.3-!25-43
—
101,105
124, 75
248, 50
32 257
5 I2 -9-7
89,156
107,102
95, 88
169, 61
32 261
4.5.1613
145,106
—
—
—
32 297
8.11.367
179, 16
177, 22
—
—
32 299
2.3.7.769
—
131, 87
176, 21
352, 14
32 303
2. 31. 521
—
—
—
—
32 309
4-4i.i97
25,178
—
—
—
32 321
64.5. 101
161, 80
in, 100
—
—
32 323
2.3-5387
—
151, 69
64, 97
355, 11
32 327
2.7.2309
—
—
32 341
4.3.5.49.11
105,146
—
179, 10
i49, 63
3235332.3.337
177, 32
95,108
i75, 24
35o, 16
32 359
2-3-5393
—
—
178, 15
356, 10
32 363
2.11.1471
—
141, 79
—
—
32 369 16.7.17.17
113,140
51,122
—
—
32 371
2-3-5- I 3-83
—
113, 99
128, 73
91, 67
32 377
8.3.19.71
171, 56
25,126
163, 44
31, 69
32 381
4.5.1619
59^7°
—
—
32 401
16.81.25
1,180
163, 54
49,100
349, 17
32 411
2.5.7-463
—
93,io9
—
32 413
4.3.37.73
27,178
—
119, 78
238, 52
32 423
2.13.29.43
—
—
—
—
32 429
4.121.67
i73, 5°
—
—
—
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
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32 441
8.5.811
[79, 20
171, 40
_
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32 443
2.3-5407
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164, 43 !
35, 69
32 467
2.37-773
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172, 31
265, 47
32 479
2.3-54I3
—
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37, 69
32 491
2.9.5.19.19
—
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104, 85
IS 1 * 6 3
32 497
16.3.677
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167, 48
7,104
305, 37
32 503
2.3-54I7
—
—
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283, 43
32 507
2.16253
—
117, 97
—
—
32 531
2-5-3253
—
57,i2i
—
—
32 533
4.3.2711
87,158
—
61, 98
233, 53
32 537
8.49-83
131,124
75, 116
—
—
32 561
16.5.11.37
i75» 44
147, 74
—
—
32 563
2.243.67
89, 1 1 1
176, 23
245, 5i
32 569
8.3-23-59
13,180
149, 72
11,104
323, 3 1
32 573
4.17.479
133,122
—
— ■
—
32 579
2.7.13.179
—
177, 25
—
—
32 587
2-3-543 1
—
157, 63
88, 91
3 6l » J
32 603
2.16301
—
171, 41
—
—
32 609
32.1019
$5*172
69,118
—
—
32 611
2.3.5.1087
—
169, 45
28,103
337, 25
32 621
4-5-7-233
61,170
—
—
32 633
8.4079
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165, 52
—
—
32 647
2.3-544I
—
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118, 79
355, J 3
32 653
4.9.907
163, 78
—
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97, 67
32 687
2.59.277
—
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—
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32 693
4.11.743
i37,*i8
—
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32 707
2.9.23.79
—
1 73,^7
100, 87
200, 58
32 713
8.3.29.47
67,168
; 31,126
i$t, 72
262, 48
32 717
4.8179
179, 26
—
—
32 719
1 2.3.7. 19.41
—
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257, 49
32 749
4.3.2729
i57, 9c
—
79, 94
361, 5
32 771
2.5.29.113
—
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—
32 779
2.27.607
—
181, 3
136, 69
272, 46
32 783
2.37-443
—
—
—
—
32 78S
4.7.1 171
167, 7c
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4.9.91 1
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155, 6 3
32 80]
32.25.41
151,100123, 94
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32 831
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—
—
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32 83; :
^64.27.19
57,i7-
s 181, (
) 161, 4$
1
,322, 32
QUADRATIC PARTITIONS.
89
p
p-1
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c d 1 A B
L M
32 839
2.3.13.421
—
—
142, 65
53, 69
32 843
2.16421
—
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—
32 869
4.9.11.83
63,170
—
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32 887
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—
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349, 19
32 909
4-19-433
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—
—
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32 911
2.3.5.1097
—
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361, 7
32 917
4.3.13.211
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3 OI > 39
32 933
4.8233
113,142
—
—
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2-43-3 8 3
—
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—
—
32 941
4.27.5.61
i79> 30
—
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32 957
4.7. 11. 107
181, 14
—
—
—
32 969
8.13-317
163, 80
159, 62
—
—
32 971
2.3.5.7.I57
—
173, 39
164, 45
328, 30
32 983
2 -3- 2 3- 2 39
—
—
34,103
343, 23
32 987
2.16493
—
27,127
—
32 993
32.1031
143,112
15,128
—
—
32 999
2.7.2357
—
—
—
—
33 013
4.9.7.131
i53 ? 98
—
179, 18
358, 12
33 023
2. 11. 19.79
—
—
—
—
33 029
4.23.359
127,130
—
—
—
33 037
4.3.2753
131,126
—
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359, IJ
33 049
8.243.17
125,132
181, 12
109, 84I218, 56
33 053 4.8263
37,178
—
—
—
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2.5.33 7
—
—
—
—
33 073
16.3-13.53
167, 72
121, 96
25,104
287, 43
33 083
2.7-17.139
—
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—
—
33 091
2.3.5. 1103
—
167, 51
4,105
8, 70
33107
2.16553
—
87,113
—
—
33 113
8.4139
157, 92
I7 1 , 44
—
33 119
2.29.571
—
—
—
33149
4.8287
5,182
—
—
—
33151
2.3.25.13.17
—
—
182, 3364, 2
33 161 8.5.829
181, 20147, 76
— ! —
33179 2.53.313
—
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— —
33181 4.3.5.7.79
75^66
—
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33191 2.53319
- —
—
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—
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33 203 2. 13.1277
—
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33211,2.81.5.41
— |i8i, 15
112, 83
137, 65
33 223
2.3.49.1 13
—
—
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292, 42
90
QUADRATIC PARTITIONS.
p p-l
a be d
A B
L M
33 247
2.9.1847
_ —
62, 99 124, 66
33 287
2.11.17.89
— —
— —
33 289
8.3-I9.73
117,140 67,120
29,104341, 25
33 301
4-9- 2 5-37
55^74
—
67, 98
227, 55
33 311
2-5-3331
—
—
—
—
33 317
4.8329
161, 86
—
_
—
33 329
16.2083
i75, 52
141, 82
—
—
33 331
2.3.5.11.101
—
7,129
16,105
32, 70
33 343
2-3-5557
—
86, 93
172, 62
33 347
2.16673
33,127
~
—
33 349
4.3-7.397
15,182 —
181, 14
139, 65
33 353
8.11.379
107,148 51,124
—
—
33 359
2. 13.1283
— —
—
—
33 377
32.7.149
49,176177, 32
—
—
33 391
2.9-5-7-53
- - |i58, 53
3i7, 35
33 403
2.3.19.293
— 11,1291160, 51
320, 34
33 409: 128.9.29
153,100181, 18
31,104
281, 45
33 413 4.8353
17,182 —
—
—
33 427
2.27.619
— I2 7, 93
40,103
349, 21
33 457
16.3.17.41
81,164173, 421127, 76
355, If
33 461
4-5-7-239
169, 70
—
33 469
4.3.2789
85,162 — 137, 70
73, 69
33 479J 2.19.881
— — —
—
33 487
2.3.5581
— 182, 11
2<5, 57
33 493
4.3.2791
183, 2 179, 22
113, 67
33 503 2.7.2393
1
—
33 521
16.5.419
89,160183, 4 —
—
33 529
8.3. 11. 127
173, 60101,108181, 16
229, 55
33 533
4. 83.101
43,178 —
—
33 547
2.3.5591
155, 69152, 59
329, 3i
33 563
2.97.173
99,109
—
33 569
32.1049
145,112129, 92
—
33 577 8.3.1399
51,176113,102
77, 96
i54, 64
33 581| 4.5-23.73
125,134
33 587 2 7.2399
,183, 7
33 589
4.27.311
183, ioi —
131, 74
353, 19
33 599
2.107. 157
— —
—
—
33 601
64.3.25.7
i35» I2 4 43,126
151, 60
302, 40
33 613
4.3.2801
93,i58
49,102
98, 68
33 617
16.11.191
151,104
183, 8
—
—
QUADRATIC PARTITIONS.
91
V
p-l
a b
c d
A B
L M
33 619
2.3.13.431
—
1 ,
79,117136, 71
77, 69
33 623
2.16811
—
— —
—
33 629
4.7.1201
155, 98
— —
—
33 637
4.3.2803
111,146
— 107, 86
365, 7
33 641
8.5.29.29
179, 40
i77, 34 —
33 647
2.16823
—
_ | _
—
33 679
2.9.1871
—
— I 94, 91
367, 1
33 703
2.3.41. 137
— \ 74, 97
217, 57
33 713
16.49.43
^3^5 2 *35, 88|
—
33 721
8.3.5.281
139,120167, 54
61,100
3 6 i, I 3
33 739
2-3-5 62 3
—
59,123
56,101
359, i5
33 749
4.11. 13.59
25,182
—
—
—
33 751
2.27.625
—
—
26,105
52, 70
33 757
4.3.29.97
59,174
—
7,106
325, 33
33 767
2.16883
—
—
—
—
33 769
8.9.7.67
37,i8o
163, 60
179, 24
358, 16
33 773
4.8443
173, 62 —
—
—
33 791
2.5.31. 109
—
—
33 797
4.7.17.71
79,166! _
—
33 809; 16.2113
65,172 3> I 3°\ —
—
33 811 2.3.5.49.23
23,129148, 63
296, 42
33 827 2.13.1301
183, 13
—
—
33829:4.3.2819
177, 5o —
11,106
307, 39
33 851; 2.25.677
— ! 5 J , I2 5
—
33 857 64.23.23
1,184! 33,i28
—
—
33 863 2.16931
— —
—
—
33 871 2.3.5.1129
— —
178, 27
356, 18
33 889 32.3.353
183, 20133, 90
79, 96
158, 64
33 893 4.37.229
47,i78 —
—
—
339112.5.3391
i .
—
—
33 923 2.7.2423
— 105,107
33 931 2.9.5.13.29
— i°9, io 5
184, 5
169, 63
33 937 ! 16.3.7.101
9,184 103,108
113, 84
226, 56
3394114.5.1697
7I, I 7°; —
—
—
33 961 8.3.5.283
115,144 47,126
181, 20121, 67
33 967| 2.27.17.37
58,101245, 53
33 997; 4.3.2833
61,174'
17,106301, 41
34 019; 2.73.233
87,115
— —
34 031! 2.5.41.83
— —
— —
34 033
16.3.709
177, 52
115,102
161, 52
5, 7i
92
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
34 039
2. 9. 3I.61
—
— '158, 55 7, 7i
34 057
8.9.II.43
181, 36
125, 96157, 5 6 | 11, 71
34 061
4-5- I 3-i3i
I3M3
— — —
34 123
2.3.121.47
—
29,129116, 83365, 11
34 127
2.113.151
—
|" •
34129
16.27.79
105,152
73,120 41,104353, 21
34 141
4-3-5-5 6 9
171, 70
73, 98221, 57
34147
2.9.7.271
—
145, 81:172, 39344, 26
34 157
4.8539
179, 46
—
34159
2.3.5693
—
—
i54, 59
23, 7i
34171
2.3.5.17.67
—
157, 69
128, 77
359, i7
34183
2. 81. 211
—
— 166, 47
25, 7i
34 211
2. 5. 11. 311
—
183, 19 —
34 213
4.3.2851
33^82
— (181, 22247, 53
34 217
8.7.13.47
19,184
i77, 38
— —
34 231
2.3.5.7.163
—
—
34,105 68, 70
34 253
4.8563
157, 98
—
— —
34 259
2.7.2447
—
159, 67
34 261
4.3.5.57I
185, 6
— i73, 38287, 45
34 267
2.3-57II
83,117152, 61 311 7i
34 273
32.9.7.17
183, 28
91,114185, 4173, 63
34 283
2. 61. 281
—
45,127 —
34 297
8.3.1429
21,184185, 6
43,104269, 49
34 301
4.25.343
149,110
—
— —
34 303
2.3-57 I 7
—
—
70, 99; 140, 66
34 313
8.4289
163, 881129, 94
34 319
2.17159
— —
34 327
2.9.1907
— —
50,103259, 51
34 337
32.29.37
169, 76123, 98
34 351
2.3.25.229
— ~~
2,107323, 35
34 361
8.5.859
181, 40153, 74
— —
34 367
2.17183
— —
— —
34 369
64.3.179
185, 12149, 78
169, 44 37, 7i
34 381
4.9.5.191
109,150 —
127, 781254, 52
34 403
2. 103. 167
9,131
—
—
34 421
4.5.1721
185, 14! —
—
—
34 429
4.3.19.151
155,102 —
89, 94ii93, 61
34 439
2.67.257
— —
— —
34 457
8.59.73
59,176183, 22
—
34 469
4.7-1231
i75, 62
~"
—
QUADRATIC PARTITIONS.
93
p
p-1
a b
c d
A B
L M
34 471
2 -9-5-383
—
—
S6, 95
37i, 3
34 483
2.3.7.821
—
65,123
136, 73
355, 21
34 487
2.43.401
—
—
—
—
34 499
2.47.367
—
57,125
—
—
34 501
4.3.125.23
65,174
101, 90
202, 60
34 511
2.5.7.17.29
—
—
—
—
34 513
16.3.719
183, 32
185, 121175, 36
35°, 24
34 519
2.3. 11.523
—
— 38,105
76, 70
34 537
8.3.1439
101,156
J73, 48; S3, 96
166, 64
34 543
2.9.19.101
—
; 14,107
335, 3i
34 549
4.3.2879
185, 18
— j 29,106
289, 45
34 583
2.17291
—
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—
34 589
4.8647
I33,i3
— —
—
34 591
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—
— |n8, 83
131, 67
34 603
2 -3-73-79
—
85,117 16,107
305, 4i
34 607
2.i33 I - I 3
—
—
—
—
34 613
4.17.509
167, 82
—
—
—
34 631
2.5.3463
—
—
—
—
34 649
8.61. 71
157,100
171, 52
—
—
34 651
2. 9.25.7. 11
—
37,129
176, 35
281, 47
34 667
2.17333
—
165, 61
—
34 673
16.11.197
113,148
141, 86
—
—
34 679
2.7.2477
—
—
—
—
34 687
2.9.41.47
—
—
130, 77
101, 69
34 693
4.3-49-59
177, 58
—
59,102
118, 68
34 703
2-I735 1
—
—
—
—
34 721
32.5-7-3I
175, 64
63,124
34 729
8.3.1447
123,140
77,120
173, 40
53, 7i
34 739
2.11.1579
—
183, 25
—
34 747
2.3-579I
—
67,123
20,107
34i, 29
34 757
4.8689
161, 94
—
—
—
34 759
2.9.1931
—
—
166, 49
3i3, 39
34 763
2.7.13.191
—
21,131
—
34 781
4-5-37-47
85,166
—
—
34 807
2.3.5801
—
—
no, 87
220, 58
34 819
2.3.7.829
—
u3, io 5
ss, 95
197, 61
34 841
8.5.13.67
155^04
183, 26
—
—
34 843
2.3.5807
—
101,111
100, 91
373, 3
34 847
2.7.19.131
—
—
—
—
34 849
32.9.121
143,120
1,132
49, i©4|
263, 51
94
QUADRATIC PARTITIONS.
p p-l
a b
c d
A B L M
34 871
2.5.11.317
—
34 877
4.8719
181, 46
—
—
—
34 883
2. 107. 163
—
81,119
—
—
34 897
16.3.727
119,144
7,132
145, 68
59, 7i
34 913
32.1091
73,172;
165, 62
—
—
34 919
2.13.17.79
—
—
—
34 939
2.27.647
181, 33
184, 19
241, 55
34 949
4.8737
145,118
—
—
—
34 961
16.5.19.23
169, 80
i53, 76
—
—
34 963
2.3.5827
—
41,129
5 6 » IQ 3
253, 53
34 981
4-3-5- II -53
175, 66
—
187, 2
181, 63
35 023
2.3.13.449
—
26,107
347, 27
35 027
2. 83. 211
—
i77, 43
—
—
35 051
2.25.701
—
27,13!
—
—
35 053
4.3.23.127
157,102
—
79, 98
215, 59
35 059
2.3.5843
—
169, 57
124, 81248, 54
35 069
4.11.797
187, 10
—
— —
35 081
8.5.877
35, l8 4
i59, 7o
— —
35 083 s 2.9.1949
—
179, 39
176, 37 ( 65, 71
35 089 16.3.17.43
183, 40
167, 60
IS* 6 4 343, 29
35 099! 2.7.23.109
—
93, JI 5
— —
351071 2.3.5851
—
185, 21
128, 79
109, 69
35111:2.5.3511
—
—
—
—
35 117; 4.8779
I3M34
—
—
35129 8.4391
115,148
123,100
—
35141 4.5.7.251
79,170
—
—
35 149 4.3. 29.101
45^82
—
143, 7o
67, 7i
35153! 16.13.13.13
137,128
135, 92
—
—
35 159, 2.17579
—
—
—
—
35171 2.5.3517
—
183, 29
—
—
35 20l! 1 28.25. 1 1
65,176
177, 44
—
—
35 221 1 4.3-5-587
25,186
—
173, 42
346, 28
35 227 2.9.19.103
—
125, 99
68,101
371, «
35 251 2.3.125.47
—
103,111
112, 87
224, 58
35 257 8.3.13.113
141,124
187, 12
53,i°4
365> 17
35 267 2.7.11.229
—
153, 77
—
1
35 2791 2.31.569
—
—
—
35 281 16.9.5.49
159,10c
163, 66
17,108
34, 72
35 291 2.5.3529
—
171, 55
—
35 311
L 2.3.5.11.107
—
182, 27
364, 18
QUADRATIC PARTITIONS.
95
p
p-l
a b
c d
A B
L M
35 317
4.81. 109
71,174
—
163, 54:326, 36
35 323
2.3.7.29.29
— 149, 81
164, 53i3 2 3, 37
35 327
2.17.1039
— —
— —
35 339
2.17669
99, "3
— —
35 353
8.9.491
3,188181, 36
19,108; 38, 72
35 363
2.17681
— H59, 7i
— —
35 381
4.5.29.61
185, 34 —
— —
35 393
64.7.79
7,188! 75,122
— —
35 401
8.3.25-59
99,160 97,114
187, 12374, 8
35 407
2.9.7.281
—
158, 59 335, 33
35 419
2.3.59 3
— 187, 15
188, 5203, 61
35 423
2.89.199
— —
— —
35 437
4.3.2953
29,186 —
65,102 130, 68
35 447
2.37.479
— —
— —
35 449
8.3.7. 211
85,168 121,102
157, 60314, 40
35 461
4.9.5.197
81,170
181, 30362, 20
35 491
2.3.5.7.I3 T 3
—
47,129
188, 7 167, 65
35 507
2.4I-433
—
57,127
— —
35 509
4.3. 1 1.269
i53>no
—
J 79, 34; 77, 7*
35 521
64.3.5.37
185, 3^
J 39, 9°
23,108, 46, 72
35 527
2.3.31. 191
—
—
170, 47 3ii, 4i
35 531
2.5.11.17.19
—
— —
35 533
4.27.7.47
147,118
—
95, 94187, 63
35 537
16.2221
41,184
183, 32
— —
35 543
2. 1 3. 1 367
—
—
— —
35 569
16.9.13.19 !
15,188
179, 42
89, 96178, 64
35 573
4.8893
103,158
—
__ —
35 591
2.5-3559
—
—
— , —
35 593
8.3.1483
117,148
I3 1 , 96
101, 92377, 3
35 597
4.1 1.809
109,154
— —
35 603
2-7-2543
—
i5,!33
— —
35 617
32.3.7.53
169, 84
187, 18
25, Io8 5°, 72
35 671
2.3.5.29.41
—
—
62,103247, 55
35 677
4.9.991
181, 54
—
185, 22119, 69
35 729
16.7. n.29
127,140
189, 2
— —
35 731
2.9-5-397
—
127, 99'
184, 25,259, 53
35 747
2.61.293
—
177, 47
35 753
8.41. 109
187, 28
189, 4
— i —
35 759
2.19.941
—
— i
— —
35 771
2.5.49.73
—
189, 5
—
- 1
96
QUADRATIC PARTITIONS.
V
35 797
35 801
35 803
35 809
35 831
35 837
35 839
35 851
35 863
35 869
35 879
35 897
35 899
35 911
35 923
35 933
35 951
35 963
35 969
35 977
35 983
35 993
35 999
36 007
36 011
36 013
36 017
36 037
36 061
36 067
36 073
36 083
36 097
36 107
36109
36131
36 137
36 151
36161
p-1
4-3- I 9- I 57
8.25.179
2.81. 13.17
3 2 -3-373
2.5-3583
4.17.17.31
2.9.11.181
2.3.25-239
2.3-43- J 39
4.3.49.61
2.17939
8.7.641
2-3-3 I - I 93
2.27.5.7.19
2.3-5987
4.13.691
2.25.719
2.17981
128.281
8.3.1499
2.9.1999
8. 1 1.409
2.41.439
2-3-I7-353
2.5.13.277
4.3.3001
16.2251
4-9-7- II - I 3
4.3.5.601
2.3.6011
8.27.167
2.18041
256.3-47
2.7.2579
4.9.17.59
2.5-3 6l 3
8.4517
2.3.25.241
64.5.113
i5">""4 —
101,160183, 34
— ,181, 39
"75> 7 2 ! 31,132
91,166
1187, 30.
181, 56
53,i82
25,188
189, 16
i _
187, 32
78,173
1 7M76
87, 21
i35> 94
i57, 75
151, 81
A B L M
125, 82
80, 99
121, 84
14,109
188, 13
no, 89
151, 66
16,109
94, 95
121, 69
160, 66
242, 56
3'3> 4i
149, 67
377, 7
302, 44
343, 3i
I9 1 * 63
64,io3 373, I 3
36 187| 2.3.37.163
III,
154
165,
94
27,
188
159,
104
3,
190
179,
64
185,
44
163, 56
5, 73
166, 53
7, 73
182, 31
89, 71
161, 58
13, 73
189, II
«7'*i 58
65,126
9,i34
69,125
57,128
137, 93
ss,^ 2
111,109
113,108
27,i33
177, 49
i5,i34
142, 73361, 23
117,106
77,1231148, 69296, 46
85, 98209, 61
169, 50 19, 73
128, 81 256, 54
149, 68
137, 76
49,106
353, 27
9 1 , 7i
367, 19
QUADRATIC PARTITIONS.
97
P
p-l
a b
c d
A B
L M
36 191
2. 5.7. n.47
36 209
16.31.73
103,160
153, 80
—
36 217
8-9-503
109,156
37^32
35, IQ 8
70, 72
36 229
4-3-3 OI 9
177, 70
—
181, 34
283, 49
36 241
16.3.5.151
129,140
67,126
79,100
379, 7
36 251
2.625.29
—
99,115
—
—
36 263
2.18131
—
—
—
36 269
4.9067
^^o
—
—
—
36 277
4-3-3023
41,186
—
173, 46
35, 73
36 293
4.43.21 1
127,142
—
—
36 299
2.18149
—
189, 17
—
—
36 307
2.9.2017
—
55, I2 9
112, 89
i55, 67
36 313
8.3.17.89
157,108
149, 84
155, 6 4
37, 73
36 319
2.3- 6 o53
—
—
26,109
3.01, 45
36 341
4-5- 2 3-79
185, 46
—
—
—
36 343
2.27.673
—
—
190, 9
380, 6
36 353
512.71
167, 92
21,134
—
—
36 373
4-3-7-433
57,182
—
i79, 3^
293, 47
36 383
2.18191
—
—
—
36 389
4.11.827
17,190
—
—
—
36 433
16. 9. 11. 23
33,i88
125,102
175, 44
43, 73
36 451
2.729.25
—
i,i35
68,103
241, 57
36 457| 8.3.49.31
51,184175, 54
115, 88
379, 9
36 467 ; 2.18233
33,i33
—
—
36 469 4.9.1013
87,170
13,110
3i7, 4i
36 473l 8.47.97
83,172
165, 68
—
—
36 479 2.13.23.61
—
—
—
—
36 493 4.3.3041
147,122
—
191, 2
i97, 63
36 497 16.2281
191, 4
93, IlS
—
—
36 523
2.9.2029
109,111
176, 43
47, 73
36 527
2.7.2609
—
—
—
—
36 529
16. 3.761
185, 48
41,132
191, 4
i79, 65
36 541
4.9.5.7.29
21,190
—
73,102 146,' 68
36 551j 2.25.17.43
—
—
— —
36 559 2.27.677
—
—
122, 85133, 69
36 563 2.101.181
—
105,113
— —
36 57l| 2.3.5.23.53
—
n,i35
152, 67, 49, 73
36 583 2.3.7.13.67
—
—
130, 81260, 54
36 587| 2.11.166^
— 117,107
36 599
2.29.631
—
_
—
98
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
36 607 12.3.6101
—
— i9°» J 3
229, 59
36 629! 4-9*57
23,190
— —
—
36 (537i 4.3-43.7I
171, 86
—
167, 54
334, 36
36 643
2.3.31. 197
—
191, 9
164, 57
328, 38
36 653
4.49. 1 J- 1 7
i73> 82
—
—
—
36 671
2.5.19.193
—
—
' —
—
36 677
4.53.I73
191, 14
—
—
—
36 683
2.18341
—
171, 61
—
—
36 691
2.3.5.1223
—
121,105
92, 97
J99, 63
36 697
8.3.11.139
99,164
43^32 187, 24
374, 16
36 709
4-3.7-i9.23
i75, 78
— jioi, 94
181, 65
36 713
8.13.353
37>i88
99,116 —
—
36 721
16.27.5. 17
i35>i36
89,120161, 60
322, 40
36 739
2.9.13.157
—
I7,i35!i84, 31
277, 5 1
36 749
4.9187
157,110
—
—
—
36 761
8.5.919
131,140
123,104
—
—
36 767
2 -3 I -593
—
—
—
—
36 779
2.7.37.71
—
189, 23
—
—
36 781
4.3.5-613
141,130
—
191, 10
161, 67
36 787
2.3.6131
—
97,n7
172, 49
3*9, 4i
36 791
2.5.13.283
—
—
—
—
36 793
8.9.7.73
"7>*5 2
71,126
125, 84
25°, 56
36 809
8.43.107
85,172
141, 92
—
—
36 821
4.5.7.263
89,170
—
—
—
36 833
32.1151
143,128
159, 76
—
—
36 847
2.9.23.89
—
—
5°, io 7
37i, 19
36 857
8.17. 271
181, 64
153, 82
—
—
36 871
2.3.5.1229
—
—
158, 63
316, 42
36 877
4.3.7.439
189, 34
—
i43, 74
365, 23
36 887
2.18443
—
—
—
—
36 899
2. 19.971
—
39,i33
1
36 901
4.9.25.41
145,126
—
149, 70 61, 73
36 913, 16.3.769
7,192
15 1 , 84
191, 12382, 8
36 919, 2.9.7.293
—
—
62,105124, 70
36 923 2.18461
—
5M31
— —
36 929' 64.577
185, 52
171, 62
— —
36 931
2.3.5.1231
—
191, 15
188, 23257, 55
36 943
2.3.47. 131
—
—
no, 91 163, 67
36 947
2.49.13.29
—
i77, 53
36 973
4.9.13.79
163,102
175, 46
3i3, 43
QUADRATIC PARTITIONS.
99
p
p-1
a b
c d
A B
L M
36 979; 2.3.6163
1 _
23,135
4,111 8, 74
36 997 4-3.3083
49,186
—
187, 26109, 7 1
37003:2.3.7.881
—
61,129
80,1011383, 7
37013,4.19.487
73,178
—
—
—
37 019! 2,83.223
—
69,127
—
—
37 021 '4.3.5.617
i55t"4
—
i37, 78
274, 52
37 039 2.36173
—
—
142, 75
284, 50
37 049 8.11.421
107,160
57,i3o
—
37 057
64.3- J 93
191, 24
47,i32
97, 96
194, 64
37 061
4.5. 17.109
3M90
—
—
—
37 087
2.3.7.883
—
—
38,109
289, 49
37 097
8.4637
101,164
147, 88
—
—
37 117
4.9.1031
181, 66
—
103, 94
3^5, 3
37 123
2.3.23.269
—
i75, 57
184, 33
368, 22
37139
2.3 I -599
—
i59, 77
—
—
37 159
2.3.11- 563
—
— .
14,111
28, 74
37 171
2 .9.5.7.59
—
161, 75
64,105
128, 70
37181
4-5- II > 1 3- I 3
91,170
—
—
—
37189 4.9-1033
33^90
—
59,106
259, 55
37 199| 2.7.2657
—
—
37 201 16.3.25.31
151,120
i37, 96
47,108
94, 72
37 217! 32.1163
79,176
!5,!36
—
—
37223)2.37.503
—
— -
—
—
37 243 2.9.2069
—
i79, 5 1
40,109
367, ^3
37 253 4.67.139
193, 2
—
—
—
37 273! 8.3.1553
187, 48
169, 66
109, 92
167, 67
37 277
4-93*9
I39>134
—
—
—
37 307
2. 23. 811
—
165, 7 1
—
• — ■
37 309
4.3-3 io 9
75,178
169, 54
338, 36
37 313
64.11.53
193, 8
81,124
—
—
37 321
8.3-5-3ii
189, 40
193, 6
187, 28
271, 53
37 337
8.13-359
59,184 87,122
—
—
37 339
2.3.49.127
—
149, 87
164, 59
34i, 35
37 357
4.3.11-283
99,166
—
193, 6
386, 4
37 361
16.5.467
185, 56
183, 44
—
—
37 363
2.3.I3.479
— II9 1 * 21
20,111
40, 74
37 369
8.27.173
45,188181, 48
163, 60
326, 40
37 379i 2. 1 1. 1699
— i77, 55
—
—
37 397 4.9349
169, 94
1
37 409
32.7.167
145,128
111,112
- !
100
QUADRATIC PARTITIONS.
p p-l
a b
c d
A B
L M
37 423
2. 243.7. 11
—
—
190, 21 380, 14
37 441
64.9.5.13
71,180
107,114
193, 8:169, 67
37 447
2.3.79.79
—
—
22,111! 44, 74
37 463
2.18731
—
—
— ., —
37 483
2.3.6247
—
85,123
56,107377, 17
37 489
16.3.11.71
25,192
119,108
71,104:383, 11
37 493
4.7.13.103
167, 98
—
—
37 501
4.3.3125
85,174
—
I5 1 , 7o
361, 27
37 507
2.3.7.19.47
—
65,129
160, 63320, 42
37 511
2.5.121.31
—
—
— —
37 517
4.83.113
i79> 74
—
— —
37 529
8.4691
125,148
69,128
— —
37 537
3 2 -3- I 7.23
81,176
193, I2
i75, 4835°, 32
37 547
2.18773
—
3,i37
— , —
37 549
4.9.7.149
93>i7°
—
193, 10223, 61
37 561
8.3.5-313
H5>i56
187, 36
181, 403 01 , 47
37 567
2.9.2087
—
—
130, 83119, 71
37 571
2.5.13.17.17
—
57,i3i
— —
37 573
4.3.31. 101
193, 18
139, 78278, 52
37 579
2.3.6263
—
101,117
44,109283, 51
37 589
4-9397
185, 58
—
—
—
37 591
2-3-5-7-I79
—
—
122, 87244, 58
37 607
2.18803
—
—
— —
37 619
2.7.2687
—
9,i37
— —
37 633
256.3-49
97,168
191, 24
1,112337, 37
37 643
2. 11. 29.59
—
189, 3 1
—
—
37 649
16.13. 181
193, 20
99,118
—
—
37 657
8.9.523
189, 44
53,132
5, 112
33i, 39
37 663
2.3.6277
—
—
*94, 3
388, 2
37 691
2-5-3769
—
171, 65
—
—
37 693
4.27.349
107,162
—
185, 34
83, 73
37 699; 2.3.61. 103
—
J93, 15
68,105
136, 70
37 717| 4.3.7.449
9,194
—
157, 66
3 J 4, 44
37 747
2.81.233
—
M3, 93
28,111
56, 74
37 781
4.5.1889
41,190
—
—
—
37 783
2.9.2099
—
—
i94, 7
173, 67
37 799
2.18899
—
—
—
—
37 811
2.5-19-199
— .
81,125
—
—
37 813
4.3-23-I37
137,138
— ,
125, 86
383, 13
37 831
2-3-5-I3-97
— 1
—
98, 97
193, 65
QUADRATIC PARTITIONS.
101
p
p-1
a b
c d
A B
L M
37 847
2. I27. I49
37 853
4.9463
I33.M2
—
—
37 861
4-3-5-63I
15^94
i33, 82
379, 17
37 871
2.5-7.54I
—
—
—
—
37 878
2.3.59.107
—
—
194, 9
388, 6
37 889
1024.37
167,10c
117,110
—
—
37 897
8-3-1579
13^144
i93, 18
i55, 68
359, 29
37 907
2. 11. 1723
—
183, 47
—
—
37 951
2.3.25.11.23
—
142, 77
89, 73
37 957
4-3-3163
129,146
107, 94
175, 67
37 963
2.27.19.37
—
181, 51
184, 37
295, 49
37 967
2.41.463
—
—
—
—
37 987
2.3.13.487
—
103,117
32,111
64, 74
37 991
2.5.29.131
—
—
—
—
37 993
8.3.1583
147,128
79,126
19,112
355, 3i
37 997
4.7-23-59
19,194
—
—
—
38 011
2.3.5-7-181
—
187, 39
172, 53
13, 75
38 039
2.7. 11. 13. 19
—
—
—
—
38 047
2-3-I7-373
—
—
no, 93
220, 62
38 053
4-9-7-I5 1
177, 82
—
181, 42
362, 28
38 069
4.31-307
185, 62
—
—
—
38 083
2.3-11.577
—
169, 69
124, 87
248, 58
38 113
32.3.397
183, 68
5,i38
185, 36
37o, 24
38 119
2.3-6353
—
34,in
68, 74
38149
4.3.11.17.17
193, 30
—
43,no
287, 51
38153
8.19.251
53,i88
195, 8
—
—
38 167
2.3.6361
— '
182, 41
305, 47
38177
32.1193
151,124
165, 74
—
38183
2.17.1123
—
—
—
38189
4-9547
115,158
—
—
—
38197
4.9.1061
89,174
—
67,106
385, 13
38 201
8.25. 191
85,176
153, 86
—
38 219
2.97.197
—
171, 67
—
—
38 231
2.5.3823
—
—
—
—
38 237
4.121.79
181, 74
—
—
—
38 239
2.3-6373
—
—
94, 99
188, 66
38 261
4-5-1913
25,i94
—
—
38 273
128.13.23
193, 32
129,104
—
—
38 281
8.3.5. 11. 29
195, J 6
191, 30
91,100
39i, 3
38 287
2.27.709
—
—
190, 27
380, 18
102
QUADRATIC PARTITIONS.
jP
p-l
a b
c d
A B
L M
38 299
2.3.13.491
—
43,135
116, 91
i57, 69
38 303
2.11.1741
—
—
—
—
38 317
4.3.31. 103
61,186
—
127, 86
13 1 , 7 1
38 321
16.5.479
185, 64
87,124
—
—
38 327
2.19163
—
—
—
—
38 329
8.3.1597
77,180!
59,132
13 1 , 84
262, 56
38 333| 4.7.37.37
187, 58
—
—
38 351| 2.25.13.59
—
—
38371:2.3.5.1279
—
137, 991 8,113
347, 35
38 377
8.9.13.41
141,136
i7, I 3 8 ' 77,io4
389, 9
38 393
8.4799
173, 92
75, I2 8
—
38 431
2.9.5.7.61
—
—
158, 67
43, 75
38 447
2.47.409
—
—
—
—
38 449
16.27.89
145^32
i9,!38
193, 20
i33, 7 1
38 453
4.9613
73>i82
—
—
—
38 459
2.7.41.67
—
189, 37
—
—
38 461
4.3.5.641
165,106
— 119, 9°
238, 60
38 501
4.125.7. 11
49,190
—
—
—
38 543
2.7.2753
—
—
—
—
38 557
4.81. 7.17
9M74
—
185, 38
299, 49
38 561
32.5.241
169,100
69,130
—
38 567
2.11.1753
—
—
—
—
38 569 8.3.1607
187, 60
61,132
181, 44
49, 75
38 593' 64.9.67
57,i88
181, 54
31,112
367, 27
38 603
2.19301
—
i95, I 7
—
—
38 609
16.19.127
95^72
189, 38
—
—
38 611
2. 27. 5. 11. 13
—
73, I2 9
188, 33
376, 22
38 629
4.9.29.37
127,150
—
149, 74
37i, 25
38 639
2.19319
—
—
—
—
38 651
2.25.773
—
3, x 39
—
—
38 653
4.3.3221
117,158
—
169, 58
343, 37
38 669
4.7.1381
163,110
—
—
38 671
2.3.5.1289
—
—
182, 43
53, 75
38 677
4.3.11.293
;i5i,i26
173, 54
346, 36
38 693
4.17.569
1*93, 38
—
—
38 699
2. 11. 1759
141, 97
1
—
38 707
2.3.6451
—
193, 2 7
20,113
359, 3 1
38 711
2.5.49.79
—
—
—
38 713
8.3.1613
43, J 9 2
25,i3 8
61,108
>I22, 72
38 723
2.19.1019
—
9,i35
, ~
i
QUADRATIC PARTITIONS.
103
p
p-1
a b
c d
f A B
L M
38 729
8.47.103
125,152
159, 82
—
—
38 737
16.9.269
159,116
163, 78
i75, 52
33 1 , 4i
38 747
2.19373
—
J95, 19
—
—
38 749
4.3.3229
75> l82
—
71,106
247, 59
38 767
2.3.7.13.71
—
—
118, 91
39i, 9
38 783
2.19391
—
—
38 791
2.9-5-43 1
—
—
22,1131317, 45
38 803
2.3.29.223
—
119,111
164, 63328, 42
38 821
4-3-5- 6 47
65,186
—
i97, 2 203, 65
38 833
16.3.809
103,168
185, 48
191, 28107, 73
38 839
2.3- 6 473
—
—
154, 7i
59, 75
38 851
2.3.25-7.37
—
49> I 35
76,105
152, 7°
38 861
4.5.29.67
35**94
—
—
—
38 867
2.19433
—
i5,!39
—
38 873
8.43.1 13
197, 8
105,118
—
—
38 891
2.5.3889
123,109
—
—
38 903
2.53.3 6 7
—
—
—
—
38 917
4.9.23.47
161,114
—
197, 6
394, 4
38 921
8.5.7.I39
139,140189, 40
—
—
38 923
2.3.13.499
— 139, 99
196, 13
235> 61
38 933
4-9733
137,142 —
—
—
38 953
8.9.541
197, 12:125,108
179, 48
358, 32
38 959
2.3-43-I5 1
194, 21
388, 14
38 971
2.9-5-433
— ,197, 9
68,107
389, 13
38 977
64.3.7.29
121,1561 85,126
193, 24
386, 16
38 993
16.2437
97,172195, 22
—
—
39 019
2.3.7.929
—
187, 45
188, 35
293, 5i
39 023
2. 109.179
—
—
—
39 041
128.5.61
25,196171* 7o
—
—
39 043
2. 81. 241
—
161, 81
104, 97
187, 67
39 047
2.7.2789
—
—
—
—
39 079
2.9.13.167
—
—
46,111
92, 74
39 089
16.7.349
175, 92 141, 98
—
—
39 097
8.27.181
179, 84197, 12
107, 96
214, 64
39103
2.3-343.I9
— —
146, 77
377, 23
39 107
2.19553
— 1183, 53
—
—
39113
8.4889
163,112 129,106
—
39119
2.19559
—
■ — ■
39133
4.9.1087
197, 18
—
89,102
178, 68
39 139
2.3- II -593
-
167, 75
124, 89
143, 7i
104
QUADRATIC PARTITIONS.
p
p-i
a b
c d
A B
L M
39157
4-3-I3-25 1
39,194 —
13,114
26, 76
39161
8.5.11.89
181, 80 57,134
—
—
39 163
2.3.61. 107
— 155, 87
136, 83
xi3i 73
39 181
4.3.5-653
195, 34 —
19X1 3°
382, 20
39 191
2.5-39!9
— —
—
—
39 199
2.3.47.I39
— 1 —
182, 45
364, 30
39 209
8.13.13.29
197, 20 3,140
—
—
39 217
16.3.19.43
111,164115,114
65,108
130, 72
39 227
2.11.1783
— 117,113
—
—
39 229
4.3.7.467
5,i98 —
I5 1 , 74
7*i 75
39 233
64.613
127,152111,116
—
—
39 239| 2.23.853
— —
—
—
39 24i; 8.9.5.109
171,100179, 60
197, 12
394, 8
3925ij2.125.157
— 153, 89
—
—
39 293 4. 1 1. 19.47
197, 22 —
—
—
393OlU.3-25.13*
95,!74 —
187, 38
73, 75
39 313
16.27. 7.13
63,188! 35,138
41,112
295, 5 1
39 317
4.9829
41,194 —
—
—
39 323
2.19661
— I7X| 7 1
—
—
39 341
4.5.7.281
125,154
—
—
39 343; 2.3.79.83
—
—
T7°, 59
347, 37
39 359 2.11.1789
—
—
—
—
39 367! 2.27.729
—
19°, 33
380, 22
39 371
2.5.31. 127
— 27,139
—
—
39 373
4.3- I 7- I 93
13^98
—
'75> 54
35°, 36
39 383
2.7.29.97
—
—
—
—
39 397
4.3.49.67
I9 1 , 54
—
i97, 14
239, 61
39 409
16.3. 821
185, 72
103,120
97,100
397, 1
39 419
2.19709
—
189, 43
—
—
39 439
2.9-7.3I3
—
—
94,101
209, 65
39 443
2.13.37-41
—
i35,i°3
—
—
39 451
2.3.25.263
—
^73, 69
188, 37
77, 75
39 461
4-5-I973
i75, 94
—
39 499
2.3.29.227
—
149, 93
196, 19
253, 59
39 503
2.19751
—
—
—
—
39 509
4.7.17.83
103,170
—
—
—
39 511
2.9-5-439
—
—
i94, 25
119, 73
39 521
32.5-13-19
i45, J 36
177, 64
—
—
39 541
4-3-5-659
i35, x 46
—
i79, 5°
329, 43
39 551
2.25.7.113
—
—
—
~
QUADRATIC PARTITIONS.
105
p
p-1
a b
c d
A B
L M
39 563
2.131.151
_
45,137
—
—
39 569
16.2473
65,188
99,122
—
—
39 581
4-5- I 979
59, I 9° i
—
—
■ —
39 607
2.3.7.23.41
— 1
—
13°, 87
260, 58
39 619
2.9.31.71
—
*99, 3
112, 95
i73, 69
39 623
2.11.1801
—
—
—
—
39 631
2.3.5.1321
—
134, 85
121, 73
39 659
2.79.251
— !
H7, 95
—
—
39 667
2. 3. 11. 601
97,!23
52,111
104, 74
39 671
2-5-3967
— i
—
—
—
39 679
2.3.17.389
—
—
2,115
343, 39
39 703
2-3-i3-5°9
—
—
i54, 73
373, 27
39 709
4.9.1 103
*97, 3°
—
199, 6
398, 4
39 719
2.7.2837
—
—
—
—
39 727
2.9.2207
—
—
122, 91
151, 7i
39 733
4-3-7-H-43
23,198
—
115, 94
397, 7
39 749
4-i9-5 2 3
*93, 5o
—
—
—
39 761
16.5.7.71
119,160
183, 56
—
—
39 769
8.3.1657
165,112
41,138
187, 40
307, 49
39 779
2.19889
—
i77, 65
—
—
39 791
2.5- 2 3- 1 73
—
—
—
—
39 799
2. 27. 11. 67
—
—
82,105
164, 70
39 821
4.5.11.181
61,190
—
—
—
39 827
2.19913
—
87,127
—
—
39 829
4-3-33J9
25,198
—
29,114
58, 76
39 839
2.19919
—
—
—
—
39 841
32.3.5.83
175. 96
i93, 36
47,112
289, 53
39 847
2.3.29.229
—
—
142, 81
284, 54
39 857
16.47-53
199, 16
i35, T °4
—
—
39 863
2. 19. 1049
—
—
—
—
39 869
4.9967
187, 70
—
—
—
39 877
4.33323
111,166
—
133, 86
,125, 73
39 883
2. 3.17. 17. 23
—
11,141
160, 69
,320, 46
39 887
2.49.11.37
—
—
—
—
39 901
4.3.25.7.19
155^26
—
199, 10
229, 63
39 929
8.7.23.31
173,100
27,140
—
—
39 937
i 1024.3.13
! 39,196
43,138
137, 84
274, 56
39 953
! 16.II. 227
»93. 52
189, 46
—
39 971
| 2.5.7.571
—
i53, 9i
—
—
39 97S
2.9.2221
—
J 79, 63
152, 75
!3°4, 5°
106
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
39 983
2.19991
— —
39 989
4.13.769
167,110 —
i
40 009
8.3.1667
3,200191, 42
197, 20257, 59
40 013
4.7.1429
83,182 —
— —
40 031
2.5.4003
— —
— —
40 037
4. 10009
49,194 s —
— i —
40 039
2.3.6673
— —
146, 79 91, 75
40 063
2. 3. 11. 607
— —
170, 61 13, 77
40 087
2. 9.17. 131
— —
158, 7i37*i 29
40 093
4.3-I3.257
123,158
169, 62 17, 77
40 099
2.3.41. 163
—
i$h 93
56,111 112, 74
40111
2.3.5.7. 191
—
—
178, 53 *9, 77
40123 2.27.743
—
19,141
76,107245, 61
40127
2.20063
—
—
— 1 " —
40129
64.3.11.19
135^48139^02
151, 76379, 25
40151
2. 25. 11. 73
1
— —
40153
8.3.7.239
187, 721119,114
i79, 52 23, 77
40163
2.43.467
— 39^39
— —
40169
8.5021
13,200 111,118
— —
40177
16.81. 31
i99> 24 73,132
167, 64 25, 77
40189
4.3.17. 197
i33 J I 5°| ™
i99, 14 i57, 7 1
40193
256.157
103,172:171, 74
— , —
40 213
4.9.1117
183, 82
35, IX 4 70, 76
40 231
2.27.5.149
—
— 166, 65 29, 77
40 237
4-3-7-479
5M94
— 95, 102 ^0, 68
40 241
16.5.503
121,160
57,136
40 253
4.29.347
i97> 38
—
— —
40 277
4.10069
199, 26
—
— —
40 283
2.11.1831
—
141,101
—
40 289
32.1259
17,200
33^40
—
—
40 343
2.23.877
—
—
—
—
40 351
2.3.25.269
—
—
26,115319, 47
40 357
4.9.19.59
129,154
37,114 74, 76
40 361
8.5.1009
19,200
81,130
—
—
40 387
2-3-53- I 27
—
5,14!
188, 41
311, 49
40 423
2.3.6737
—
—
46,113
293, 53
40 427
2. 17. 29. 41
—
147, 97
—
—
40 429
4.9.1123
35>i98
—
127, 90
254, 60
40 433
16.7. 19. 19
167,112
201, 4
—
—
40 459
2. 3. 11. 613
101,123
28,115
373, 29
QUADRATIC PARTITIONS.
107
p
p-l
a b
c d
A B
L M
40 47l'
2.3.5.19.71
—
—
86,105
172, 70
40 483
2.9.13.173
—
199, 21
184, 47
43, 77
40 487
2.31.653
—
—
—
—
40 493
4.53-i9i
163,118
—
—
—
40 499
2.20249
—
201, 7
—
—
40 507
2.3-43-J57
—
85,129
200, 13
161, 71
40 519!
2.9.2251
-—
—
i94, 3 1
101, 75
40 529
16.17. 149
23,200
201, 8
—
—
40 531
2-3-5-7- T 93
—
19 1 , 45
116, 95
401, 7
40 543
2.3.29.233
—
—
70,109
397, 1 3
40 559!
2.7.2897
—
—
—
—
40 577|
128.317
191, 64
177, 68
—
—
40 583
2.103.197
—
—
—
—
40 591
2.9.5.11.41
—
—
i54, 75
308, 50
40 597
4.3.17.199
201, 14
—
83,106
235, 6 3
40 609
32.27.47
105,172
197, 3°
103,100
403, 1
40 627
2.9.37.61
—
H5, 99
148, 79
385, 23
40 637
4-10159
139,146
—
—
—
40 639
2-3-I3-5 21
—
—
106, 99
212, 66
40 693
4-3-339 1
87,182
—
109, 98
185, 69
40 697
8.5087
149,136
i35> 106
—
—
40 699
2.9.7.17. 19
—
181, 63
32,115
3 J 3, 49
40 709
4.10177
95^78
—
—
—
40 739
2.20369
—
201, 13
—
—
40 751
2. 125. 163
—
—
—
—
40 759
2.3.6793
—
—
178, 55
343, 4i
40 763
2.89.229
—
*95, 37
—
—
40 771
2.27.5. 151
—
127,111
112, 97
403, 5
40 787
2.20393
—
57,137
—
—
40 801
3 2 .3- 2 5- I 7
201, 20
187, 54
199, 20
i39, 73
40 813
4.3.19.179
3,202
—
19*1 38
305, 5 1
40 819
2.3.6803
—
137,105
88,105
176, 70
40 823
2.20411
—
—
—
—
40 829
4-59-173
5,202
—
—
—
40 841
8.5.1021
29,200
129,110
—
40 847
2.13.1571
—
—
—
—
40 849
16.3.23.37
193, 60
157, 9 C
169, 64
361, 35
40 853
4.7.1459
7,202
—
—
—
40 867
2.3.49.139
—
103,123
200, 17
251, 61
40 87S
2.27.757
—
—
202, 5
187, 69
108
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
40 883
2.20441
81,131
40 897
64.9.71
i99> 36
53,i38
23,116371, 31
40 903
2.3.17.401
—
—
194, 33^388, 22
40 927
2-3-I9-359
—
—
182, 51364, 34
40 933
4.27.379
i77, 98
—
85,106403, 7
40 939
2.3.6823
—
67,135
196, 29109, 75
40 949
4-29-353
185, 82
—
— 1 —
40 961
8192.5
31,200
63,136
— —
40 973
4.10243
13,202
—
— —
40 993
32.3.7.61
113,168
i75, 72
25,116323, 47
41011
2.3.5-1367
—
167, 81
52,n 3 i 287, 55
41017
8.3.1709
5M96
i33,i°8
125, 92401, 11
41023
2.9-43-53
—
—
166, 67367, 33
41 039
2. 17. 17. 71
—
—
—
—
41047
2.3.6841
—
—
202, 9
404, 6
41051
2.25.821
—
99,125
—
—
41057
32.1283
119,164
27,142
—
—
41077
4.9.7.163
201, 26
—
157, 74
65, 77
41081
8-5-13-79
85,184
153, 94
—
—
41113
8.9.571
197, 48
55,138
59,H2
277, 57
41117
4-i9-54i
59,194
—
—
—
41131
2-9-5-457
—
37,Mi
8,117
16, 78
41141
4.5. 121. 17
71,190
—
—
—
41 143
2.3.6857
—
190, 41
67, 77
41149
4.81.127
165,118
—
121, 94
403, 9
41161
8.3-5-343
i95, 56
97,126
197, 28
113, 75
41177
8.5H7
101,176
183, 62
—
—
41179
2.3.6863
i73, 75
164, 69
328, 46
41183
2-59-349
—
—
—
41189
4.7.1471
145,142
—
—
—
41201
16.25.103
199, 40
201, 20
—
—
41203
2.27.7.109
89,129
136, 87
272, 58
41213
4.10303
203, 2
—
—
—
41221
4.9.5.229
111,170
—
203, 2
209, 67
41227
2.3.6871
—
203, 3
128, 91
145, 73
41231
2.5.7. 19.31
—
—
—
41233
16.3.859
183, 88
*$h 96
79,108
158, 72
41243
2.17.1213
5M39
—
—
41257
8.27. 191
179, 96
143,102
203, 4
191, 69
41 263
2.3.13.23.23
1
—
14,117
28, 78
QUADRATIC PARTITIONS.
109
p
p-l
a be d
A B
L M
41269
4.3.19.181
1 37,i5 c
— 163, 70
373, 3i
41281
64.3-5-43
185, 84
203, 6,191, 40
7i, 77
41299
2.3.6883
—
193, 45 J 96, 3 1
289, 55
41 333
4.10333
23,202
—
—
—
41341
4-3-5- z 3<53
171,110
71,110
401, 13
41 351
2.25.827
—
—
—
—
41357
4.49.211
61,194
—
—
41381
4.5.2069
191, 70
—
—
41387
2.20693
—
195, 4i
—
—
41389
4-3-3449
195. 58
—
49,114
98, 76
41399
2.7.2957
—
—
—
—
41411
2.5.41. 101
—
177, 7i
—
41413
4.3.7.17.29
47,198
IOI,I02i202, 68
41443
2.3.6907
— 41,141
56,ii3395, 19
41 453
4.43.241
163,122
—
—
41467
2.3.6911
—
187, 57
20,117 4°, 78
41479
2.3.31.223
—
—
202, 15404, 10
41491
2.9.5.461
— 71,135
172, 63344, 42
41507
2.20753
—
63,i37
—
41513
8.5189
i97, 52
141,104
—
—
41519
2.20759
—
—
—
—
41521
I6.3.5-I73
39,200
7,i44
127, 92
149, 73
41539 2.3.7.23.43
—
119,117
92,105
184, 70
41543! 2.20771
—
—
—
—
41549
4.13.17.47
157,130
~~
—
—
41579
2.20789
—
123,115
—
—
41593 8.3.1733
173,108
11,144
35,n6
383, 27
41 597j 4.10399
181, 94
—
—
41603 2.11.31.61
—
111,121
—
—
41609
8.7.743
203, 20
147,100
—
—
41611
2.3-5-19-73
—
43, x 4i
44,n5
301, 53
41617; 16.9.17.17
1,204
125,114
i43, 84
286, 56
41 621, 4.5.2081
185, 86
—
—
—
• 41627 1 2.13.1601
— .
27,H3
—
—
[41 641 8.3.5.347
5,204
i3,M4
203, 13
406, 8
1 41647j 2.3.11.631
—
—
190, 43
319, 49
j 41 651 2.25.49.17
—
201, 25
—
—
i41659| 2.3.53.131
—
203, 15
184, 51
368, 34
41669 ; 4. 1 1.947
113,170.
—
—
41 681;
16.5. 521
4i,2oo|
183, 64
—
110
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
41687
2. 19.1097
1
—
—
—
41719
2.3.17.409
—
—
i34, 89!
401, 15
41729
256.163
127,160
129,112
—
—
41737
8-3-37-47
11,204
83.132
37,ii6'
3ii, 5i
41759
2.20879
—
—
- 1
41761
32.9.5.29
145^44
17.144
167, 68 !
37.1, 33
41771
2.5.4177
—
189, 55
—
—
41777
16.7.373
89,184!
105,124
—
—
41801
8.25. 11. 19
149,140
5M4°
—
—
41809
16.3.13.67
97,180
61,138
119, 96
238, 64
41813
4-10453
167,118
—
—
—
41843
2.20921
—
i59. 9i
—
—
41849
8.5231
43,200
39.M2
—
—
41851
2.27.25.31
—
197, 39
28,117
56, 78
41863
2.3.6977
—
—
70,111
140, 74
41879
2.20939
—
—
—
—
41887
2.9.13.179
—
—
202, 19
259, 6l
41893
4-3-349 1
33,202
—
11,118
343. 43
41897
8-5237
59.196
195. 44
—
—
41903
2.7.41.73
—
—
—
—
41911
2.3.5.11.127
—
—
94,io5
188, 70
41927 2.20963
—
—
—
—
41 941 4.9.5.233
I35.I54
—
13,118
367, 35
41 947 2.3.6991
—
157. 93
112, 99
224, 66
41 953' 32.3.19.23
183, 92
101,126
199, 28
283, 57
41957;4.i7.6i7
19 1 , 74
—
—
41959, 2.81.7.37
—
—
122, 95
407. 9
41 969 16.43.61
185, 88
201, 28
—
—
41981 4.5.2099
155^34
—
—
—
41 983; 2.3.6997
—
|i46, 83
395. 21
41999 2. 1 1. 23.83
—
—
—
42 013 4-27.389
53,198
55,U4
no, 76
42 017 32. 13.101
169,116
165, 86
—
—
42 019 1 2.3.47.149
—
121,117
164, 71
377, 3i
42 023
2.21011
—
—
—
—
42 042
2.3.49.11.13
205, 2
80,109
247. 63
42 061
! 4-3-5-7 01
205, 6
—
I7,n2
337. 45
42 071
- 2.5.7.601
—
—
—
42 07^
^| 8-3-1753
I57.I32
85,i3 2
205, a
r;2l7, 67
42 08c
* 2.53.397
—
20I, 2C
) —
i ~
QUADRATIC PARTITIONS.
Ill
A B
L M
42 089 8.5261
42iOlU.25.421
42131 2.5.11.383
42 139; 2.9.2341
42 157 4.9. 1 17 1
42 169 8.3.7.251
42 179 2.21089
42 181 4.3.5-I9.37
42187 2.3.79.89
42 193 16.9.293
42197 4.7.11-137
42 209 32.1319
42 221 4.5.2111
42223)2.3.31.227
42 227 2.43.491
42 239 2.49.431
42 2571 16.19.139
42 281 8.5.7.151
42 283 2.729.29
42 293 4-97.109
42 299
42 307
42 323
42 331
42 337
42 349
42 359
42 373
42 379
42 391
42 397
42 403
42 407
42 409
42 433
42 437
42 443
42 451
42 457
42 461
2.21149
2. 3. 11. 641
2.7.3023
2.3-5.17.83
32.27.49
4.3.3529
2.21179
4.9.11.107
2.3.7.1009
2.27.5.157
4-3-3533
2.3.37.191
2.7.13.233
8.9.19.31
64.3.13.17
4.103.103
2.21221
2.3.25.283
8.3.29.61
4.5. 11. 193
111,122
7, 79
«, 79
13, 79
205, 5
i99, 5°
9, J 45i —
1109,123176, 61
109,174 — 175, 62
205, 12 187, 60 181, 56
— 129,113: —
! I 59> I 3° — 203, 18406, 12
— 205, 9200, 271400, 18
73,192199, 36145, 84I290, 56
121,1661 — — —
I 47,200159, 92! —
I205, 14I — —
34,ii7| 68, 78
153, 97! — —
191, 76
205, 16
103,178
195,
46
177,
74
181,
69
184,
53
—
69,137
95, I2 9
201, 31
201, 44
I33,!! 1
197, 42
205, 18
—
127,162
—
—
77,i35
194, 69
*5*. 99
197, 60
i93, 72
179, 72
3!, x 44
1,206
—
29,204
5,206
195, 47
i93, 5 1
155, 96
140, 87
128, 93
185, 52
161, 74
149, 82
52,115
202, 23
25,118
64,113
25, 79
280, 58
256, 62
29, 79
3*3, 29
97, 77
397, 21
i33, 75
379, 3i
275, 59
203, 20263, 61
169, 68 35, 79
124, 95
205, 12
161, 73
410, 8
112
QUADRATIC PARTITIONS.
V
p-i
a b
c d
A B
L M
42 463* 2.9.7.337
—
—
206, 3
412, 2
42 467 2. 1 7. 1 249
— 183, 67
—
—
42 473 8.5309
173,112; 81,134
—
42 487 2.3.73.97
— — 2,119
359, 39
42 491
2.5.7.607
21,145
—
42 499
2.27.787
— 143.105
4,119
353, 4i
42 509
4.10627
205, 22 —
—
—
42 533
4-343-3 1
97,182 —
42 557
4.10639
11,206 — —
42 569
8.I7-3I3
85,188 99,128
42 571
2.9.5.11.43
53^41
148, 83101, 77
42 577
16.3.887
31,204 67,138
47>n6»395, 23
42 589
4-9-7I3I3
117,170' —
167, 70; 43, 79
42 611
2.5.4261
— | 63,139
— —
42 641
16.5.13.41
65,196 3> J 46 !
42 643
2.9.23.103
—
199, 39
104,103
205, 69
42 649
8.3.1777
195, 68
139,108
101,104
413, 1
42 667
2.3-I3-547
—
203, 27
40,117
80, 78
42 677
4.47.227
7 I , I 94
—
—
—
42 683
2.21341
—
189, 59
—
—
42 689
64.23.29
185, 92
171, 82
—
—
42 697
8-9-593
171,116
35, r 44
197, 36
394, 24
42 701
4.25.7.61
205, 26
—
—
—
42 703 2 .3."i 1.647
—
—
110,101
4i3, 3
42 709
4-3-3559
105,178
—
61,114
122, 76
42 719
2-i3-3 I -53
—
—
—
—
42 727
2.3.7121
—
—
190, 47
49, 79
42 737
16.2671
i99> 5 6
183, 68
—
—
42 743
2.7.43.71
—
—
—
42 751
2.9.125. 19
—
—
158, 77
389, 27
42 767
2.21383
—
—
—
—
42 773
4.i7-!7-37
167,122
—
—
—
42 787
2.9.2377
—
55^41
152, 81
3°4, 54
42 793
8.3.1783
77,192
i75, 78
205, 16
253, 63
42 797
4.13.823
1 19,206
—
—
—
42 821
4.5.2141
161,130
—
—
—
42 829
4-3-43-83
; 45> 2 ° 2
—
191, 46
53, 79
42 839
2.21419
—
—
—
—
42 841
8.9.5.7.17
1 35,204
37,i44
179, 6c
358, 40
42 853
4-3-3571
207, 2
181, 58
355, 4i
QUADRATIC PARTITIONS.
113
p p- 1
a b
c d
A B
L M
42 859
2.9.2381
—
*97, 45
116, 99
232, 66
42 863
2.29.739
—
—
—
—
42 899
2.89.241
—
207, 5
—
—
42 901
4.3. 25. 11. 13
201, 50
—
i57, 78
314, 52
42 923
2.11.1951
—
45,*43
—
—
42 929 16.2683
145,148
5M42
—
—
42 937 8.3.1789
149,144
185, 66
203, 24
406, 16
42 943 2. 3. 17. 421
—
—
206, 13
167, 73
42 953 8.7.13.59
163,128
159, 94
—
—
42 961
16.3.5.179
169,120
119,120
73, 112
409, 13
42 967
2.9.7.11.31
—
—
22,119
335, 47
42 979
2.3.13.19.29
—
!9i> 57
196, 39
392, 26
42 989 4-H-977
83,190
—
—
—
43 003j 2.9.2389
—
125,117
44,n7
88, 78
43 013| 4.10753
47,202
—
—
—
43 019| 2. 137. 157
— \*7h 8 3
—
—
43 037; 4.7.29.53
I 39 ) I 54! —
—
—
43 049 8.5381
205, 32207, 10 —
—
43 051; 2.3.25.7.41
— 173, 81 172, 67
373, 35
43 063 2.3.7177
—
—
106,103
4i5> 1
43 0671 2.61.353
—
165, 89
—
—
43 093 4-81.7.19
183, 98
109,102
218, 68
43103, 2.23.937
— —
—
—
43 117! 4.3.3593
189, 86\ — '• 97,106
4i5, 3
43 133 4.41.263
107,178! —
—
43 151 2.25.863
— — —
—
43 159 2.3.7193
—
26,119
383, 3i
43177 8.3.7.257
69,196
205, 24 53,116
401, 21
43189 4.3-59.61
135^58
— 83,110
4i3, 9
43 201; 64.27.25
199, 60107,126 1,120
2, 80
43 207 2.3.19.379
7°>H3
269, 61
43 223, 2.2 161 1
— — —
—
43 237! 4.9. 1 20T
T 59>*34 : — 203, 26
281, 59
43261:4.3.5.7.103
75,194 — 169, 70
379, 33
43 271j 2.5.4327
— — —
—
43 283 2. 17.19. 67
— 105,1271
—
43 29l| 2.9.5.13.37
— i79, 75208, 3416, 2
43 313; 16.2707
7,208135,112 —
43 319 2. 11. n. 179
43 321
8.3.5.19.19
205, 36
43, J 44
11,120
22, 80
114
QUADRATIC PARTITIONS.
p-1
d A B | L M
43 331 2.5.7.619
43 391 2.5.4339
43 397 4.19.57*
43 399 2.9.241 1
43 403 2. 2 1 701
43 411 2.3.5.1447
43 427 2.21713
43 441 16.3.5. 181
43 451 2. 25. 11. 79
43 457 64.7.97
43 481 8.5.1087
43 487 ( 2. 17. 1279
43 499 2.7.13.239
43 517 4. 1 1. 23.43
43 541; 4.5.7.31 1
43 543 2.9.41.59
43 5734.3.3631
43 577 8.13.419
43 579 2.81.269
43 591 2.3.5.1453
43 597 4-9.7. !73
43 607 2.21803
43 609 8.3.23.79
43 613 4.10903
43 6271 2.3.11.661
43 633 16.27. 101
43 649 1 28. 1 1. 3 1
43 651 2.9.25.97
43 661; 4.5.37.59
43 669! 4.9. 12 13
43 691 2.5.17.257
43 711 2.3.5.31.47
43 717| 4.3.3643
43 721 8.5.1093
43 753 8.3.1823
43 759 2.9.11.13.1
43 777 256.9.19
43 781 4.5.1 1. 199
43 783 2.3.7297
43 787 2.21893
iS9> 95
167, 72 334, 48
31,206
154, 81308, 54
69,i39
[37,111208, 7229, 67
207, 17
185, 96 121,120
— 123,119
71,196 117,122
, 59,200 87,134
— 5M43
149,146 —
121,170 —
153,142 —
181,104 57,142
i9,!47
i4i,i54 —
166, 73 385, 3i
179, 62365, 39
148, 85403, 21
178, 63356, 42
193, 46 33 1 , 49
165,128151,102197, 40 77, 79
53,202 —
|i55, 99208, 11 175, 73
207, 28109,126185, 56353, 43
193, 80207, 20
— |i99, 45ii76, 65371, 37
35,2o6,
87,190
209, 6
; 61,200
I 83,192
1 59^36
209, 10
13 1 , 94I5 1 , 75
171, 85 — I —
194, 45 388, 30
— '187, 54374, 36
33,M6 —
209, 6205, 24410, 16
— 206, 21 412, 14
143,108127, 96254, 64
165, 9V
74,113413, 13
QUADRATIC PARTITIONS.
115
p
j,-l
a b
c d | A B
L M
43 789 ! 4.341.89
205, 42
— .
209, 6
418, 4
43793116.7.17.23 t
23,208
105,128
—
—
43 801
8.3.25-73
195. 76
203, 36
173, 68
377, 35
43 853
4.I9.577
i73>n8
—
—
—
43 867
2.9.2437
—
163, 93!
172, 69
344, 46
43 889
16. 13. 211
25,208
9,148
—
—
43 891
2.3.5.7. 11. 19
—
103,129
104,105
208, 70
43 913
8.11.499
203, 52
189, 64
—
—
43 933
4.3.7.5 2 3
133,162
—
199, 38
85, 79
43 943
2. 127. 173
—
—
—
—
43 951
2.3.25.293
—
—
98,107
4i9, 3
43 961
8.5.7.157
205, 44
69,140
—
—
43 963,
2.3.17.431
—
139,111
196, 43
325, 5 1
43 969
64.3.229
63,200
209, 12
I5 1 , 84
3 02 , 56
43 973
4.10993
193, 82
—
—
43 987
2.3.7331
—
65,141
8,121
355, 43
43 991
2.5-53.83
—
—
—
43 997
4.17.647
181,106
—
—
—
44 017
16.3.7. 131
49,204
77,138
95,108
190, 72
44 021
4.5-3i.7i
89,190
—
—
—
44 027
2.22013
—
93,133
—
44 029
4.9.1223
123,170
71,114
142, 76
44 041
8.3.5.367
75>i96
173, 84 29,120
58, 80
44 053
4.3.367 1
57,202
— 205, 26
127, 77
44059
2.3.7.1049
—
29,147 116,101
419, 5
44 071
2.3.5.13.113
—
— 202, 33
404, 2 2
44 087
2.7.47.67
44 089
8.3.11.167
85,192
167, 90
61,116
287, 59
44101
4.9.25.49
1,210
—
197, 42
394, 28
44111
2. 5. n. 401
—
—
—
—
44119
2.27.19.43
-
—
14,121
349, 45
44123
2. 13.1697
99,i3i
—
—
44129
32.7.197
145^52
;I77, 80
—
—
44131
2.3.5.1471
—
1209, 15
208, 17
:i57, 75
44159
2.22079
—
—
—
—
44171
2.5.7.631
—
189, 65
—
44179
2.3.37.I99
—
3M4J
16,121
379, 35
44189
4.11047
155^42
—
44 201
8.25. 13.17
115^7^
207, 26
44 203
2.3-53.I39
! —
205, 32
> 56,n/
112, 78
116
QUADRATIC PARTITIONS.
V
p-1
a b
c d
A B ; L M
44 207
2.23.31. 31
—
— —
44 221
4.3.5.11.67
11,210
—
89,110419, 7
44 249
8.5531
157,140
21,148
44 257
32.3.461
209, 24
97,i32
145, 88409, 19
44 263
2.9.2459
—
—
194, 471335, 49
44 267
2.22133
—
75,i39
—
—
44 269
4-3-7-I7-3 1
13,210
209, 14
251, 65
44 273
16.2767
167,128201, 44
—
—
44 279
2.i3- I 3- I 3 I
—
—
—
44 281
8.27.5.41
109,180
53,H4
203, 32
299, 57
44 293
4-3-369 1
207, 38
181, 62
5, 81
44 351
2.25.887
—
—
—
—
44 357
4.I3-853
209, 26
—
—
44 371
2.9.5.17.29
—
89,135
112,103
421, 3
44 381
4-5-7-3I7
91,190
—
—
—
44 383
2.3.13.569
—
—
154, 83
95, 79
44 389
4.81.137
17,210
—
149, 86
407, 21
44 417
128.347
161,136
207, 28
—
—
44 449
32-3-463
207, 40
193, 60
209, 16
161, 75
44 453
4.11113
113,178
—
—
—
44 483
2.23.967
—
9, J 49
—
—
44 491
2.3-5- I 483
—
187, 69196, 45
392, 30
44 497
16.27.103
201, 64
55,*44
175, 68
29, 81
44 501
4.125.89
199, 70
—
—
—
44 507
2. 7. 11. 17. 17
—
147,107
—
—
44 519
2.22259
—
—
—
—
44 531
2.5.61.73
—
207, 29
—
44 533
4.9.1237
73,198
—
211, 2
205, 71
44 537
8.19.293
211, 4
27,148
—
44 543
2.22271
—
—
44 549
4.7.37.43
i75, JI 8
—
—
—
44 563
2.3.7. 1061
—
209, 21
200, 39
400, 26
44 579
2.31. 719
—
111,127
—
44 587
2.9.2477
—
37,i47
208, 21
416, 14
44 617
8.3.11. 13.13
171,124
205, 36
197, 44
329, 5 1
44 621
45.23.97
211, 10
—
—
44 623
2.9.37.67
—
—
206, 27
412, 18
44 633
8.7.797
37,208
201, 46
—
—
44 641
32.9.5-31
55,204
197, 54|
121,100
421, 7
44 647 1
2.3.7.1063
—
— !
158, 81
316, 54
QUADRATIC PARTITIONS.
117
V
P -l
a b
c d
A B
L M
44 651
2.25.19.47
—
5^145
—
—
44 657
16.2791
79,196
45^46
—
44 683
2.3.11.677
—
211, 9
164, 77395, 29
44 687
2.22343
—
— —
44 699
2.22349
—
189, 67
— —
44 701
4.3.25.149
149,150
7,122359, 43
44711
2.5.17.263
—
— — 1 —
44 729
8.5591
205, 52
171, 88 —
44 741
4-5- 22 37
145^54
i j ' ___
44 753
16.2797
97,188
195, 58
1
1
44 771
2.5. 11. 11.37
—
207, 31
— —
44 773
4.3.7.13.41
63,202
11,122
377, 37
44 777
8.29.193
211, 16
177, 82
—
—
44 789
4.11197
167,130
—
—
—
44 797
4-3-3733
101,186
—
55,n8
409, 21
44 809
8.3.1867
203, 60
211, 12
131, 96
262, 64
44 819
2.22409
—
201, 47
—
—
44 839
2-9-47-53
—
—
194, 49
47, 81
44 843
2.7.3203
—
21,149
—
44 851
2.3.25.13.23
—
151,105:208, 23
J39, 77
44 867
2.22433
—
63 5 H3
—
—
44 879
2.19.1181
—
—
—
—
44 887
2.3.7481
—
—
170, 73
49, 81
44 893
4.9.29.43
197, 73
—
199, 42
398, 28
44 909
4.103.109
115,178
—
—
—
44 917
4.3.19.197
121,174
—
77,H4
154, 76
44 927
2.7.3209
—
—
—
—
44 939
2.22469
—
117,125
—
44 953
8.3.1873
3,212
59,144
211, 12
422, 8
44 959
2.3.59.127
—
—
206, 29
293, 59
44 963
2.22481
—
129,119
—
44 971
2.3.5.1499
—
211, 15
212, 3
424, 2
44 983
2.27.49.17
—
—
5°, 1 19
407, 23
44 987
2.83.271
—
i95, 59
— .
—
45 007
2 -3-i3-577
—
142, 91
4i5, l 1
45 013
4-3.121.31
137,162
—
19,122
347, 47
45 053
4.7.1609
203, 62
_
—
—
45 061
45 077
4-3-5-751
3I,2IOJ
—
187, 58
361, 43
4.59.191
*99, 74
—
—
45 083,
2.22541
—
171, 89
—
- 1
118
QUADRATIC PARTITIONS.
bed
45 119 2. 17. 1327
45 121 64.3.5.47
45 127 2.9.23.109
45131
45 137
45139
45 161
45179
45 181
45 19.1
45 197
45 233
45 247
45 259
45 263
45 281
45 289
45 293
45 307
45 317
2.5-45!3
16.7. 13.31
2 -3-75 2 3
8.5.1129
2.49.461
4.9.5.251
2.5.4519
4. 1 1 299
16.11.257
2-3-7541
2.3-!9-397
2.7.53.61
32.5-283
8.9.17.37
4.13.13.67
2.27.839
4.11329
45 319 2.3.7.13.83
45 329 16.2833
45 337 8.3.1889
45 341 4.5.2267
45 343 2.9. 1 1.229
45 361
45 377
45 389
45 403
45 413
16.81. 5.7
64.709
4.7.1621
2-3-7-23-47
4-II353
35, l6 4 11,15°
119,176
27,149
i35> 116
A B L M
161, 80
i3°> 97
208, 25
401, 27
421, 11
283, 61
209, 27
205, 56^07, 34
— i 99,1331
165,134 — I 23,1221389, 33
|2II, 26
17,212
51^46
j 98,109229, 69
203, 45>7°> 69352, 46
45 427 2.3.67. 1 13
45 433| 8.9.631
45 439 2.3.7573
45 481, 8.3.5.379
45 491j 2.5.4549
45 497j8.i2i.47
45 503! 2.22751
45 523 2.81.281
45 533 4. 1 1 383
45 541 4.9.5.11.23
209, 40159,100
208, 45| 17,1501211, 16259, 65
67,202j —
— 197, 57212, 11 245, 67
19 1 , 94| —
— 206, 31 113, 79
73,200 39,148 —
61,204187, 72133, 9°266, 64
155^46, — — I —
— 166, 77 65, 81
145,156' 19,150193, 52349, 47
i99, 76213, 2 —
205, 58 —
— 211, 21! 4,123 8, 82
143,158! — —
47,147 92,11 r T84, 74
213, 8199, 54149, 881115, 79
— 194, 51 3S8, 34
[141,160209, 30173, 72346, 48
33,*49 —
179,116213, 8 —
197, 82
129,170
161, 99 40,121:403, 27
— 203, 38317, 55
QUADRATIC PARTITIONS.
119
p
p-l
a b
c d
A B
L M
45 553
16.3.13-73
207, 52205, 42
89,112247, 67
45 557
4.7.1627
89,194
— —
45 569
512.89
25,212
213, 10
45 587
2.23.991
—
207, 37
— —
45 589
4.3.29.131
183,110
— [109,106427, 1
45 599
2.7-3 2 57
—
—
— —
45 613
4.9.7.181
163,1381
3M22335, 51
45 631
2.27. 5. 13.13
158, 83407, 25
45 641
8.5.7.163
85.196 93,136
—
45 659
2.37.617
—
69,143
—
—
45 667
2.9-43-59
—
I45, 111
148, 89
119, 79
45 673
8.3.11.173
27,212
211, 24
115,104,197, 73
45 677
4.19. 601
211, 34
—
45 691
2.3-5- I 523
—
77,i4i
68,117136, 78
45 697
128.3.7.17
191, 96
65,144
73, II 6275, 63
45 707
2.22853
—
213, 13
—
—
45 737
8.5717
109,184
207, 38
—
—
45 751
2.3.125. 61
—
—
118,103427, 5
45 757
4.9.31.41
181,114
— 1185, 62371, 41
45 763
2.3.29.263
—
i75, 87
184, 63368, 42
45 767
2.49.467
—
—
—
—
45 779
2 47.487
—
'77, 85
—
—
45 817
8.3.23.83
211, 36
203, 48157, 84314, 56
45 821
4.5.29.79
5,214
— — —
45 823
2.3.7.1091
— 214, 3428, 2
45 827
2. 11. 2083
—
15,151 —
—
45 833
8.17.337
203, 68
45,!48; —
—
45 841
16.3.5.191
65,204
2 9, I 5 OI 43, 92419, J 7
45 853
4.3.3821
213, 22
— 121,1021242, 68
45 863
2.23.997
—
— —
45 869
4.1x467
205, 62
— —
—
45 887
2.22943
—
— —
—
45 893; 4.7. 11. 149
113,182
— —
—
45 943 2.3.13.19.31
—
214, 7235, 69
45 949
4-3-7-547
43,210
|!99, 46337, 5 1
45 953
128.359
103,188
75,!42 —
45 959 2.1 1.2089
—
— —
—
45 971| 2.5.4597
—
183, 79i
—
45 979 2.3.79.97
—
211, 27
124,101
i79, 75
45 989
4. 1 1497
i45>!58
—
—
120
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
46 021
4.3-5- r 3-59
15,214
—
37,122
329, 53
46 027
2-9-2557
—
53,147
212, 19
155, 77
46 049 32.1439
143,160207, 40
—
—
46 051 2.3.25.307
— xi3t*»9
88,113
251, 67
46 061| 4.5.49.47
131,170
—
—
46 073 8.13.443
53,2o8|i35,n8
—
—
46091 2.5.11.419
— J2i3> 19
1
46 093 4.3.23.167
83,198'
161, 82 85, 81
46 099
2.9.13.197
— i99> 57
176, 71389, 35
46 103
2.7.37.89
—
—
—
—
46 133
4.19.607
73,202
—
—
—
46141
4-3-5-769
171,130
167, 78
334, 52
46147
2.3.7691
— i37 5 n7
208, 31
301, 59
46 153
8.9.641
213, 28179, 84
5, I2 4
3 6 7, 43
46171
2.243.5.19
— 1*63, 99
28,123
56, 82
46181
4.5.2309
209, 5°; —
—
—
46183
2.3-43-!79
— —
134, 97
i57, 77
46 187
2.7.3299
i 93>!37
—
—
46199
2.23099
—
—
—
46 219
2.3.7703
—
187, 75
i9 6 > 5 1
39 2 , 34
46 229
4.7.13.127
215, 2
—
—
—
46 237l 4 -3-3853
21,214
—
215, 2
221, 71
46 261! 4.9-5.257
215, 6
—
67,118
421, 17
46 27l| 2.5.7.661
—
—
—
—
46273:64.3.241
97,192
209, 36215, 4
203, 73
46 279 1 2.27.857
—
— 166, 79
403, 29
46 301' 4 25.463
101,190
—
46 307j2.i3.i3.i37
—
i53> IQ 7
—
—
46 309| 4.3.17.227
47,210
—
197, 50
347, 49
46 327
2.3.7.1103
—
—
62,119
419, 19
46 337
256.181
89,196
213, 22
46 349
4.11587
115,182
—
—
—
46 351
2.9.25.103
—
—
202, 43
33i, 53
46 381
4-3-5-773
205, 66
209, 30418, 20
46 399
2.3.11. 19.37
—
—
82,115427, 11
46 411
2.3-5-7. I3-I7
■ —
203 51
32,123; 64, 82
46 439
2.7.31. 107
—
—
46 441
8.27.5.43
179,120
143,114107,108214, 72
46 447
2.3.7741
—
— 110,107431, 1
46 451
2.25.929
—
201, 55
—
—
QUADRATIC PARTITIONS.
121
p
j>-1
a b
C d
A B
L M
46 457
8.5807
211, 44
117,128
—
—
46 471
2-3-5-!549
—
214, 15
428, 10
46 477
4.9.1291
109,186
113,106
205, 73
46 489
8.3.13.149
195. 92
133,120
19,124
39i, 35
46 499
2.67.347
—
i59> 10 3
—
—
46 507
2.3-23-337
—
115,129
188, 61
5, 83
46 511
2.5.4651
—
—
—
—
46 523
2-7-3323
75^43
—
—
46 549
4.27.431
215, 18
—
211, 26
i33, 79
46 559
2.23279
—
—
—
—
46 567
2.9.13.199
—
—
98,111
196, 74
46 573
4.3.3881
147,158
—
191, 58
17, ^3
46 589
4.19.613
133^7°
—
—
—
46 591
2-3-5- I 553
—
—
182, 67
19, 83
46 601
8.25.233
125,176
63,146
—
—
46 619
2.11. 13.163
—
213, 25
—
—
46 633
8.3.29.67
187,108
205, 48
181, 68
23, 83
46 639
2.9.2591
—
—
158, 85
97, 81
46 643
2.23321
—
111,131
—
—
46 649
8-343-17
205, 68
21,152
—
—
46 663
2.3.7.11.101
—
—
214, 17
163, 77
46 679
2.23339
—
—
—
—
46 681
8.3-5-389
5,216
41,15°
59, I2 o
118, 80
46 687
2.3.31. 251
—
—
170, 77
401, 3 1
46 691
2.5.7.23.29
—
33,15*
—
—
46 703
2. 19.1229
—
—
—
46 723
2.3- r 3-599
—
209, 39
i3 6 > 97
427, 13
46 727
I 2.61.383
—
—
—
—
46 747
I2.9-49-53
—
i97, 63
148, 91
421, 19
46 751
j 2. 125. 11. 17
—
—
—
46 757
14. 1 1 689
3^214
—
—
—
46 769
16.37.79
185,112
87,140
—
—
46 77]
2.3-5- I 559
—
i93, 6 9
92,113
43 1 , 7
46 807
2.3.29.269
—
—
178, 71
35, 83
46 811
2-5-3I-I5 1
—
69,H5
—
—
46 817
I32. 7. 11. 19
209, 56
177, 88
—
46 819
2. 81. 17. 17
—
i,i53
212, 25
i37, 79
46 829
j 4.23.509
ji73>i3c
—
—
—
46 831
2.3-5-7-223
—
—
38,123
76, 82
46 853
4-i3-i7-53
i93» 9 8
R
~
! ~
122
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
46 861
4.3.5. ii. 71
195, 94
47,122
413, 25
46 867
2.3.73.107
—
7,i53
^52, 89
419, 21
46 877
4.11719
139,166
—
—
—
46 889
8.5861
83,200
81,142
—
—
46 901
4.25.7.67
215, 26
—
—
46 919
2.23459
—
—
—
—
46 933
4-3-391 1
167,138
—
115,106
433, 3
46 957
4-3.7-I3-43
189,106
—
143, 94
139, 79
46 993
16.3. 11. 89
137,168
169, 96
215, 16
167, 77
46 997
4-31-379
199, 86
—
—
47 017
8.9.653
19,216
I45,H4
203, 44
335, 53
47 041
64-3-5-49
121,180
203, 54
97,112
433, 5
47 051
2 25.941
—
213, 29
—
47 057
16.17.173
169,136
57,148
—
—
47 059
2.3.11.23.31
—
!03,i35
56,121
307, 59
47 087
2.13.1811
—
—
—
—
47 093 !
4.61. 193
217, 2
—
—
—
47111
2.5.7.673
—
—
—
—
47 119
2-3-7853
—
—
214, 21
428, 14
47 123
2.23561
—
39,15!
—
—
47 129
8-43-!37
155,152
201, 58
—
—
47 137j
32-3-49 1
151,156
187, 78
217, 4
229, 71
47 143
2.243.97
—
—
94,H3
245, 69
47 147
2. 11. 2143
—
i47,n3
—
—
47 149
4-3-3929
I57,i5
—
209, 34
107, 81
47 161j
8.9.5.131
181,120
217, 6
131,100
169, 77
47 189
4.47.251
217, 10
—
—
—
47 207
2.23603
—
—
—
—
47 221
4.3-5.787
185,114
—
211, 30
422, 20
47 237:
4.49.241
161,146
—
—
—
47 251
2.27.125.7
—
217, 9
188, 63
376, 42
47 269
4.9.13.101
145,162
—
91,114
182, 76
47 279
2. 7. 11. 307
—
—
—
—
47 287
2.9.37.71
—
—
58,121
421, 21
47 293
4-3-7.563
203, 78
—
185, 66
37o, 44
47 297
64.739
191,104
33,152
—
—
47 303
2.67.353
—
—
—
—
47 309
4.11827
125,178
—
—
—
47 317
4-3-3943
39,214
—
205, 42
410, 28
47 339 1
• 1
2.23669
—
99,137
—
—
QUADRATIC PARTITIONS.
123
p
j>-1
a be d A B
1
L M
47 351
2.25.947
_
47 353
8-3-1973
173^32
i55> 108
35, I2 4
337, 53
47 363
2.7.17.199
—
201, 59
—
—
47 381
4.5.23.103
215, 34
—
—
47 387
2.19.29.43
123,127
—
—
47 389
4-3-H-359
165,142
—
217, 10
247, 69
47 407
2.3.7901
—
—
182, 69
364, 46
47 417
8.5927
179,124
213, 32
—
—
47 419
2.3.7.1129
—
i3!> 12 3
88,115
433, 9
47 431
2.9.5.17.31
—
—
202, 47
61, 83
47 441
16.5.593
95^96
3,154
—
—
47 459
2.61.389
—
81,143
—
—
47 491
2.3-5.^583
—
167, 99
196, 55
361, 47
47 497
8.3.1979
29,216
97,138
37,124
409, 29
47 501
4.625.19
205, 74
—
—
—
47 507
2-23753
—
i35> I2 i
—
—
47 513
8-5939
187,112
9,154
—
—
47 521
32. 27. 5. 11
215, 36
197, 66
217, 12
434, 8
47 527
2.3.89.89
—
—
218, 1
215, 73
47 533
4-3-17.233
3,218
—
145, 94
427, 17
47 543
2.11.2161
—
—
—
—
47 563
2.3.7927
—
211, 39
164, 83
413, 27
47 569
16.3.991
87,200
137,120
209, 36
418, 24
47 581
4.3.5. 13.61
59,210
—
137, 98
43i, 13
47 591
2.5.4759
—
—
47 599
2.3.7933
—
—
218, 5
233, 7i
47 609
8.11.541
203, 80
i53,no
—
—
47 623
2-3-7937
—
—
170, 79
67, 83
47 629
4.243.49
*95, 98
—
1,126
2, 84
47 639
2.23819
—
—
—
—
47 653
4.3.11. 19.19
193,102
—
5,126
10, 84
47 657
8.7.23.37
211, 56
i5,!54
—
—
47 659
2.3.13.13.47
—
29,i53
28,125
347, 5 1
47 681
64.5.149
185,116
213, 34
—
47 699
2.7.3407
—
in,i33
—
—
47 701
4-9-25.53
199, 90
—
77,118
277, 65
47 711
2.5- I 3-367
—
—
—
47 713j 32.3.7.71
177,128
79, J 44
199, 52
355, 49
47 717
4.79.151
191,106
—
47 737
8.27. 13.17
171,136
217, 18
163, 84
326, 56
124
QUADRATIC PARTITIONS.
p
^-1
a b
c d
A B
L M
47 741
4.5.7. 11. 31
I55>i54
—
—
47 743
2.3.73.109
—
—
110,109217, 73
47 777
3 2 - I 493
209, 64
63,148
— —
47 779
2.3.7963
—
3i 5 i53
104,111208, 74
47 791
2.81.5.59
■
—
82,117
164, 78
47 797
4-3-7-5 6 9
201, 86
—
13,126
26, 84
47 807
2.11.41.53
—
—
—
—
47 809
64.9.83
135^72
53,15° 41,124
33i, 55
47 819
2.23909
—
213, 35
—
—
47 837
4-H959
101,194
—
—
—
47 843
2. 19. 1 259
—
201, 61
—
—
47 857
16.3.997
79,204
205, 54
217, 16:265, 67
47 869
4-3.3989
2i3> 5°
—
119,106199, 75
47 881
8.9.5.7.19
35>2i6
127,126157, g
421, 23
47 903
2-43-557
—
—
—
—
47 911
2.3.5.I597
—
—
98,113
437, 5
47 917
4-9-I33 1
179,126
— 17,126
34, 84
47 933
4.23.521
203, 82
—
—
—
47 939
2. 11. 2179
—
183, 85
—
—
47 947
2. 3. 61. 131
—
^S3y^3 t 5^i 9 1
121, 81
47 951
2-25.7.137
—
— —
—
47 963 2.23981"
—
219, 1 —
—
47 969 32.1499
55>2I2
219, 2
—
47 977 8.3.1999
219, 4
157,108
43,* 24
4i5, 27
47 981 4.5.2399
109,190
—
—
—
48 017
16.3001
119,184
ioS,^
—
—
48 023
2. 13.1847
—
—
—
—
48 029
4.12007
85,202
—
—
—
48 049
16.3.7. 11. 13
I 75, 1 3 2
211, 42
193, 60
386, 40
48 073
8.3.2003
213, 52
115,132
125,104
437, 7
48 079
2.9.2671
—
—
i94, 59
37i, 45
48 091
2.3.5.7.229
—
187, 81
52,123
104, 82
48109
4.3.19.211
205, 78
r
161, 86
419, 25
48119
2.49.491
—
—
48121
8.3.5.401
211, 60
139,120
203, 48
406, 32
48131
2.5.4813
■ —
9,155
—
—
48157
4-3-4013
219, 14
23,126
46, 84
48163
2.3-23.349
—
169, 99
196, 57
392, 3^
48179
2.13. 17. 109
—
i59,io7
—
—
48 187j
2.9.2677
—
37,i53
112,109
439, 1
QUADRATIC PARTITIONS.
125
p
ji-.l
a be d
A B
L M
48193
64.3.251
57,212
149,114
I5 1 , 92125, 81
48197
4.12049
49,214
—
—
48 221
45.2411
139,170
—
—
48 238
2.89.271
—
—
—
—
48 247
2.3.11.T7.43
—
182, 71395, 37
48 25S
2.9.7.383
—
7i>i47
76,119281, 65
48 271
2.3.5.1609
—
—
118,107^03, 75
48 281
8.5.17.71
91,200
183, 86
48 299
2. 19.31. 41
—
219, 13
— —
48 311
2.5-4831
—
— —
48 313
8.9. 11. 61
107,192
199, 66
181, 72362, 48
48 337
'6-3-I9-53
41,216
185, 84
47,124
325, 57
48 341
4.5.2417
215, 46
—
—
—
48 353
32. 15 11
137,172
219, 14
—
—
48 371
2.5.7.691
—
63^49
—
—
48 383
2. 17. 1423
— •
—
—
—
48 397
4-3-37-IQ9
5^214
—
97,1*4
194, 76
48 407
2.24203
—
—
—
—
48 409
8.3.2017
3,220
203, 60
211, 36
422, 24
48 413
4.49. 1 3. 1 9
197, 98
—
—
—
48 437
4. 1 2 109
199, 94
—
—
—
48 449
64-757
7,220
171, 98
—
—
48 463
2.3.41. 197
—
—
86,117
172, 78
48 473
8-73-83
163,148
219, 16
—
—
48 479
2.24239
—
—
—
48 481
3 2 -3-5- IQI
9,220
59,15°
209, 40
89, 83
48 487
2.3.8081
—
—
10,127
39i, 39
48 491
2 -5-i3-373
—
2i,i55
—
48 497
16.7.433
121,184
I53,H2
—
48 523
2.3.8087
—
205, 57
56,123
112, 82
48 527
2.19. 1277
—
—
—
—
48 533
4.11.1103
217. 3^>
—
—
—
48 539,
2.7.3467
—
219, 17
—
—
48 541!
4.3.5.809
165,146
—
217, 22
283, 65
48 563|
2.24281
—
IQ 5,i37
—
—
48 571
2.3.5. 1619
—
211, 45
164, 85
9i, ^3
48 589j
4.3.4049
67,210
—
31,126
62, 84
48 593
16.3037
73,208
201, 64
—
—
48 611
2.5.4861
—
81,145
—
—
48 619
2 -9-37-73
—
163,105
212, 35
3!7, 59
126
QUADRATIC PARTITIONS.
V
p-l
A B L M
48 623 2.7. 23.151
48 647 2. 13. 187 1
48 649 8.3.2027
48 661 4.3.5 811
48 673j 32.9.13.13
48 677! 4-43-283
48 679 2.3.7.1961
48 731 2.5. 1 1.443
48 733 4.3-31-131
48 751 2.3.625.13
48 757; 4.3.17.239
48 761! 8.5.23.53
48 767 2.37 659
48 779 2.29.29.29
48 781 4.9.5.271
48 787
48 799
48 809
48 817
48 821
48 823
48 847
48 857
48 859
48 869
48 871
48 883
48 889
48 907
48 947
48 953
48 973
48 989
48 991
49 003
49 009
49 019
49 031
49 033
49 037
93.200
105,194
i43' 168
79,206
213, 58
119,186
19,220
141,170
[91, 781 91,116257, 69
I 83,118271, 67
1,156145, 96290, 64
2-3-47-I73
2.9.2711
8.6101
16.27. 113
4.5.2441
2-3-79- io 3
2.3.7. 1163
8.31. 197
2.3.17.479
4.19.643
2.27.5. 181
2.3.8147
8.9.7.97
2.9.11. 13.19
2.24473
8. 29. 211
4-3-7-H-53
4-37-33 1
2.3-5-23-7I
2.3.8167
16.3.1021
2.24509
2.5-4903
8.27.227
4.13.23.41
197,100
199, 96
55,214
213, 4i
219, 2C
27,155
95,!4i
51,152
215, 36
214, 3 1
169, 82
58,123
163, 86
307, 61
4i5, 29
116, 82
95, 83
221, 4
113,190
75,208
165,104
221,
209, 51
217, 30
125,129
i53,n3
203, 881 39,154
173,138!
i55,i58
193, 62
20,127
194, 61
217, 24
70,121
218, 21
196, 59
22,127
80,119
221, 4
220, 13
209, 42
7, 85
361, 49
11, 85
434, 16
433,
43 6 ,
221,
153,160119,132
219, 23
117,188 19,156
221, 14I —
17
14
19, 85
403, 35
437, 13
209, 75
259, 6 9
418, 28
46,
140, 99
199, 56
25329, 57
280, 66
3i, 85
221, 8
245, 7
QUADRATIC PARTITIONS.
127
p
p-l
a b
c d
A B
L M
49 043 2.7.31. 1 13
—
159,109
—
49 057i 32.3.7-73
49,216
i75» 96
167, 84
334, 56
49 069, 4.9-29.47
163,150
—
113,110443, 1
49 08l! 8.3.5.409
205, 84
187, 84
107,112229, 73
49103 2.24551
—
—
—
—
49109 4.12277
185,122
—
—
—
49 117
4-3 4093
2i9> 34
—
217, 26139, 81
49121
32.5.307
175^36
207, 56
—
—
49123
2.9.2729
—
199, 69
104,113
443, 3
49139
2. 79.311
—
33,155
—
—
49 157
4.12289
209, 74
—
—
—
49169
16.7.439
65,212
189, 82
—
—
49 171
2.3.5.11.149
—
97,141
28,127
409, 33
49177
8.9.683
189,116
197, 72
5,128
389, 4i
49193
8.11. 13.43
77,208
81,146
—
—
49199
2.17. 1447
—
—
—
—
49 201
16.3.25.41
135^76
23*156
7,128
377, 45
49 207
2.3.59.I39
—
—
82,119
275, 67
49 211
2.5-7.19.37
—
219, 25
—
—
49 223
2.24611
—
—
—
—
49 253
4-7-I759
127,182
—
—
—
49 261
4.3.5.821
195,106
—
i43, 98
437, 15
49 277
4.97.127
59>2i4
—
—
—
49 279
2.3.43.191
—
—
98,115
247, 71
49 297
16.3.13.79
169,144
25,156
215, 32
311, 61
49 307
2.89.277
—
3,i57
—
49 331
2-5-4933
—
183, 89
—
—
49 333
4.3.4111
7,222
—
125,106
193, 77
49 339
2.9.2741
—
179, 93
208, 45
416, 30
49 363
2 .3.i9.433
—
185, 87
160, 89
107, 83
49 367
2.24683
—
—
—
—
49 369
8.3.121.17
187,120
169,102
'79, 76
49, 85
49 391
2.5.11.449
—
—
49 393
16.9-343
217, 48
89,144
95, Ij6
443, 7
49 409
256.193
97,200
129,128
—
—
49 411
2. 81. 5. 61
—
127,129
32,127
349, 53
49 417
8.3.29.71
221, 24
193. 78
155, 92
43i, 21
49 429
4.9.I373
73,210
—
221, 14
263, 69
49 433
8.37.167
67,212
75,i48
—
—
49 451
2.25.23.43
—
123,131
—
128
QUADRATIC PARTITIONS.
V
p-\
a be d
A B
L M
49 4591 2.3.8243
1
79,H7
128,105256, 70
49 463| 2.7.3533
—
—
— —
49 477
43-7-I9-3 1
191,114
—
43,126 86, 84
49 481
8.5.1237
125,184
159,110
— —
49 499
2.24749
—
189, 83
.
49 523
2. 11. 2251
—
i5,i57
—
—
49 529
8.41. 151
i73^4o
219, 28
—
—
49 531
2.3.5.i3-**7
—
173, 99
92,117 184, 78
49 537
128.9.43
89,204
107,138
193, 64385, 43
49 547
2-7-3539
—
93,143
— —
49 549
4.3.4129
45,218
—
191, 66382, 44
49 559
2.71.349
—
—
— —
49 597
4-3-4 x 33
139^74
— 103,114206, 76
49 603
2.3.7. 1181
—
191, 81
164, 87328, 58
49 613
4-79-157
157,158
—
—
—
49 627
2.27.919
—
53.153
188, 69376, 46
49 633
32.3.11.47
113,192
31.156
121,108
242, 72
49 639
2.3.8273
—
—
206, 49
59, 85
49 663
2.9.31.89
—
—
154, 93
308, 62
49 667
2. 19.1307
—
105,139
—
—
49 669
4-3-4I39
175,138
—
187, 70
397, 39
49 681
16.27.5.23
55>2i6
217, 36
23,128
407, 35
49 697
32-I553
151,164
165,106
—
—
49 711
2-3-5- l6 57
—
218, 27
436, 18
49 727
2.23.23.47
—
—
—
49 739
2.13.1913
—
2i,i57
—
49 741
4.3.5.829
221, 30
—
223, 2
217, 75
49 747
2.3.8291
— <
223, 3
200, 57
400, 38
49 757
4-7-1777
149,166
—
—
—
49 783
2.3.8297
—
—
i34,io3
I75i 79
49 787
2.11.31.73
—
213, 47
—
—
49 789
4.27.461
117,190
—
217, 30
434, 20
49 801
8.3.25.83
99,200
223, 6
163, 88
427, 25
49 807
2.9.2767
—
—
158, 9 1
115, 83
49 811
2.5.17.293
—
207, 59
—
—
49 823
2.29.859
• —
—
—
—
49 831
2.3.5.11.151
—
—
1 38,127
343, 55
49 848
2. 27. 13.71
—
55>*53
184, 73
403, 37
49 853
4.121.103
187,122
—
—
49 871
2.5.4987
—
—
• —
—
QUADRATIC PARTITIONS.
129
p
p-1
a b
c d
A B
L M
49 877
4-37-337
I
169,1461 —
—
—
49 891
2.3.5.1663
— 223, 9
208, 47
67, 85
49 919
2. 11. 2269
— —
—
—
49 921
256.3-5-!3
39,220203, 66
223, 8
i99, 77
49 927
2-3-53- I 57
— —
2,129
4, 86
49 937
16.3121
191,116 3,158
—
—
49 939
2.3.7.29.41
—
167,105
4,129
8, 86
49 943 2.24971
—
—
—
—
49 957 4.3.23.181
iii 5 i94
203, 54
406, 36
49 991
2.5.4999
—
—
49 993
8.3.2083
213, 68221, 24
29,128
4i3, 33
49 999
2.3.13.641
— —
182, 75
3 6 4, 5°
50 021
4.5.41. 61
65,214
—
—
50 023
2.9.7.397
—
—
10,129
20, 86
50 033
i6.53-59
143^72
5i 5 i54
—
—
50 047
2.3.19.439
—
—
218, 29
3o5, 63
50 051
2.25.7. 11. 13
—
183, 91
—
—
50 053
4-3-43-97
223, 18
91,118
445, 9
50 069
4-12517
215, 62
—
—
50 077
4.9.13.107
219, 46
—
167, 86
425, 27
50 087
2.79.317
—
—
—
—
50 093
4.7.1789
I73>I42
—
—
50 101
4.3.25.167
185,126
173, 82
73, 85
50111
2.5.5011
—
—
—
—
50119
2-3- 8 353
—
—
14,129
28, 86
50123
2.19.1319
—
165,107
—
—
50129
16. 13.241
223, 20
99,142
—
—
50131
2-9-5-557
—
217, 39
148, 97
439, I?
50147
2.25073
—
i77, 97
—
—
50153
8.6269
83,208
15,158
—
—
50159
1 2.31.809
—
—
. — .
—
50177
1024.49
1,224
63,152
—
—
50 207
2.13.1931
—
—
—
—
50 221
4.81. 5.31
125,186
—
161, 90
322, 60
50 227
2. 3. 11. 761
—
175, 99
88,119
269, 69
' 50 231
| 2.5.5023
—
—
—
—
50 261
1 4-5-7-359
119,190
—
—
—
50 263
2.3.8377
—
—
166, 87
332, 58
50 273
32.1571
73,212
219, 34
—
—
50 287
2. 3.17. 17. 29
—
70,123
140, 82
180
QUADRATIC PARTITIONS.
p
P -l
a b
c a
A B L M
50 291
2.5.47.107
— 207, 61! — —
50 311
2-9-5- I 3-43
— — 194, 65389, 43
50 321
J6.5-I7-37
215, 64153,1161
50 329
8.27.233
165,152
73,150211, 44 79, 85
50 333
4.12583
53>2i8
—
— —
50 341; 4.3-5-839
79,210
—
197, 62383, 45
50 359
2. 3.7. 11. 109
—
—
214, 39428, 26
50 363
2.13.13.149
—
69> I 5 I i
50 377
8.3.2099
61,216
223, 18 35,128419, 31
50 383
2. 81. 311
—
— 190, 69380, 46
50 387
2.7.59.61
—
33,157 —
50 411
2.5.71. 71
—
219, 35 —
50 417
16.23.137
199,104
183, 92 —
50 423
2. 17.1483
—
— — —
50 441
8.5.I3-97
221, 40
129,130 —
50 459
2.25229
—
i7 I J I °3 | —
50 461
4.3.5.29.29
219, 50
— 119,110449, 3
50 497 64.3.263
129,184
95^44 223, 16 271, 69
50 503 2.3.19.443
— •
-—
46,127427, 27
50 513
16. 7. 11. 41
223, 28
189, 86
— —
50 527
2.9.7.401
—
—
122,109205, 77
50 539
2.3.8423
—
61,153
224, 11257, 71
50 543
2.37.683
50 549
4.12637
55>2i8
—
50 551 2.3.25.337
— 202, 57,404, 38
50 581 4.9.5.281
215, 66
1 77,122443, 15
50 587 2.3.8431
—
5,159220, 27440, 18
50 591 2.5.5059
—
—
50 593 32.3.17.31
207, 88
191, 84
209, 481418, 32
50 5991 2.27.937
—
26,129: 52, 86
50 627
2.17. 1489
—
225, 1
50 647
2.3.23.367
—
—
82,121:445, 13
50 651
2-25.1013
—
5M55
— —
50 671
2. 9.5-5 6 3
—
98,117)196, 78
50 683
2.3.8447
! —
IM59
224, 13185, 79
50 707
2.81. 313
.
i43> 12 3
28,129 56, 86
50 723
2.7.3623
—
225, 7
— —
50 741
4-5-43-59
121,190
—
50 753
64.13.61
223, 32
225, 81
50 767
2.3.8461
i
142,101161, 81
QUADRATIC PARTITIONS.
131
p
p-l
a be d
A B
L M
50 773 4-3-4231
57,218
205, 54
410, 36
50 777 8.11.577
221, 44
213, 52
—
—
50 789 4.12697
175^42
—
—
5082114.3.5.7.11.11
225, 14
— -
11,130
379, 47
50 833 16.9.353
87,208
215, 48
41,128
425, 29
50 839 2.3.37.229
—
214, 41
9i, 85
50 849 32.7.227
215, 68
219, 38
—
—
50 857 8.3.13.163
141,176
113^38
115,112
45i, !
50 867] 2.29.877
—
225, 11
—
—
50 87a 8.6359
77,212
171,104
—
50 891 1 2.5.7.727
—
147,121
—
50 893 4.3.4241
157,162
—
79,122
287, 67
50909 4.11. 13.89
197,110
—
—
—
50 923 2.27.23.41
i9>i59
220, 29
133, 83
50 929 16.3.1061
177,140
77,15°
223, 20
163, 81
50 951! 2.25. 1019
—
—
— ■
—
50 957 4-12739
221, 46
—
—
—
50 969 8.23.277
125,188
69,152
—
50 971 1 2.3.5.1699
—
133,129
64,125
3 IT , 63
50 989! 4.3-7-607
83,210
—
17,13°
373, 49
50 993 16.3187
167,152
135,128
—
—
51001 8.3.125.17
51,220
149,120
43,128
34i, 57
51 031 2.729.5.7
—
—
i34,i°5
268, 70
51043 2.3.47.181
—
65,153
224, 17
275, 69
51 047 2.25523
—
~
51 059 2.49.521
—
201, 73
—
51061 4-3-5- 2 3-37
169,150
19,13°
4°9, 37
51071 2.5.5107
—
—
—
51 109 4-3-4259
225, 22
—
59,126
118, 84
51131 2.5.5113
—
141,125
—
—
51 133 j 4.3-4261
43,222
—
199, 62
13, 87
51 137 64.17.47
31,224
225, 16
—
51 151 2. 3.25. n. 31
—
226, 5
211, 77
51 157 4.9.49.29
9,226
—
157, 94
439, 21
51 169 ,32.3.13.41
137,180
187, 90
71,124
3 QI , 65
51 193| 8.81.79
147,172
181, 96
221, 28
137, 83
51197 4.12799
11,226
—
—
—
51 199j 2.3.7.23.53
—
218, 35
323, 61
51203 2.25601
225, 17
1 —
5121^
n 16.3.11.97
201,104
167,108
,137, i°4
449, H
1
132
QUADRATIC PARTITIONS.
V
p-1
a b
c d
A B ! L M
51229
4.9.1423
123,190
—
23> 1 3 3 6 7 5 5 1
51239
2. 11. 17. 137
—
—
51 241
8.3.5.7.61
205, 96; 79, I 5 OI 79> 80419, 33
51257
8.43.149
181,136153,118, —
51263
2. 19. 19. 71
51283
2. 9.7. 11. 37
— 145,123220, 31313* 63
51287
2.25643
— — — 1
51 307
2.3- I 7'5°3
— 67,1531148, 99
296, 66
51329
128.401
223, 40177,100!
—
51341
45.I7I5 1
221, 50
— —
—
51 343
2-3-43- I 99
—
—
214, 43!343i 57
51347
2.25673
— 225, 19
—
—
51349
4.3. 11. 389
I 35 5 I 82 —
61,126
122, 84
51361
32.3.5.107
175,144193, 84
47,128
43 1 , 27
51383
2.23.1117
—
—
—
—
51407
2.25703
—
—
—
—
51 413
4.12853
103,202
—
51419
2-47-547
— 213, 55 —
—
51421
4-3-5-8.S7
75,214 — 217, 38103, 85
51427
2.9.2857
— 215, 51
140,103
169, 81
51431
2-5-37-139
—
—
—
—
51437
4.7. 11. 167
19,226
—
—
—
51439
2.3-8573
—
226, 11
193, 79
51449
8.59.109
107,200 39,158!
—
51461
4- 5-3I-83
95,206 —
51473
16.3217
127,188195, 82 —
—
51 479
2.7.3677
— — —
—
51481
8.9.5.11.13
I95.H6 53,156' 9M2Q
182, 80
51487
2.3.8581
2,i3 J
395> 43
51 503
2. 11. 2341
— — —
—
51511
2.3.5. 17. 101
— 206, 55
41, 87
51517
4-243-53
21,226 — 215, 42430, 28
51 521
64-5-7.23
161,160111,140 —
51 539
2-73-353
— 183, 95 —
51551
2.25. 1031
— — —
51 563
2.7.29.127
— 189, 89
—
51577
8.3-7-3°7
211, 84203, 72227, 4
2i5> 77
51 581
4-5-2579
155,166 — —
—
51593
8.6449
227, 8225, 22 — ■
—
51599
2.25799
—
QUADRATIC PARTITIONS.
133
p
p — 1
a b
c d
A B
L M
51607
2.9.47.61
—
170, 87:340, 58
51613
4.3.11.17.23203,102; 151, 98
143, ^3
51 631
2.3.5.1721 — 218, 37
107, 85
51637
4-3- I 3-33 I 201,106 — 227, 6454, 4
51 647
2.49.17. 31
51659
2. 23.1123
— 219, 43 —
51673 8.3.2153 227, i2 ! ioi,i44Ji55, 96I310, 64
51679
2. 81. 11. 29 14,131407, 39
51683
2.25841
— J225, 2 3j —
51691
2-3-5-I723
— 327, 9208, 53
49, 87
51713
512. 101
217, 68171,106
51 719
2.19.1361
51721
8.3.5-431
I39,l802II, 60227, 8251, 73
51749
4.17.761
65,218
—
— i —
51 767
2. II. 13. l8l
— —
51769
8.9.719 213, 80199, 78
i39 > I °4 | i73 ) 8l
51787
2.27.7-I37 ! —
35^59
80,1231160, 82
51 797; 4.23-5 6 3 119,194
t
51 8031 2.59.439
— ,195, %3' —
51 817! 8.3.17. 127
101,2041227, 12107,116455, 3
51827 2.25913
— J207, 67
— —
51829!4.3.7.6i7
105,202
—
227, 10 197, 79
51839 2.25919
—
— —
51 853 4.3.29.149 227, 18
65,126130, 84
51 859 : 2.9.43.67
7M53
44,129; 88, 86
51 869| 4.12967
187,130
—
— —
51 871 2.3.5.7. 13.19
—
—
214, 45 428, 30
51893
4.12973
137,182
—
— —
51899
2.7.II.337
5M57
— —
51 907
2. 3. 41. 211
—
223, 33
200, 63400, 42
51913 8.9.7.103
93,208
161,114
221, 32
3 J 7> 6 3
51 929; 8.6491
227, 20
27,160
—
—
51 94l| 4.5-49.53
175^46
—
—
—
51 949j 4.27.13.37
195,118
—
193, 7o
4°3> 4i
51971 2.5.5197
—
87,149
—
—
51973 4.361. 71
113,198
—
101,118
253, 73
51977 8.73.89
221, 56
225, 26
—
—
51991 2.3.5.1733
—
142,103
45 1 , J 3
52 009 8.3. 1 1. 197
5,228
I3M3 2
203, 60
406, 40
52 021
4-9.5.I7-I7
89,2IO
211, 50
61, 87
134
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
52 027
2.3.13.23.29
—
157,117128,109
i99, 79
52 05J !
2.3-25-347
—
137,129224, 25
M9, 83
52 057j
8.27.241
219, 64
215, 54
77,124
295, 67
52 067
2.7.3719
—
15,161
—
52 069
4-3-4339
225, 38
—
37,130
427, 3 1
52 081
I6-3-5-7-3 1
135^84
103,144
223, 28
307, 65
52 103
2.109.239
—
—
—
52 121
8.5-1303
61,220
123,136
—
52 127
2.67.389
—
—
—
52147
2.9.2897
—
73,153
212, 49
65, 87
52 153
8-3-4I-53
13,228
59,156
I3T,108
262, 72
52 163
2. n. 2371
—
81,151
—
52 177
16.3.1087
159,164
227, 18
55,128
329, 61
52 181
4.5.2609
185,134
—
—
—
52183
2.9.13.223
—
—
206, 57
412, 38
52189
4-3-4349
165,158
—
167, 90
334, 60
52 201
8.9.25.29
45,224
143,126
149,100
I5 1 , 83
52 223
2.26111
—
—
—
—
52 237
4.9.1451
99,206
—
145,102
290, 68
52 249
8.3.7.311
I55,* 68
119,138
109,116
239, 75
52 253
4.13063
107,202
—
—
—
52 259
2.17.29.53
—
201, 77
—
—
52 267
2.3.31. 281
—
187, 93
28,131
365, 53
52 289
64.19.43
95,208
33>!6o
—
—
52 291
2.9.5.7.83
—
217, 5 1
172, 87
344, 58
52 301
4.25.523
35>226
—
—
52 313
8.i3.5 3
227, 28
165,112
—
52 321
32.3-5- io 9
111,200
223, 36
7,132
14, 88
52 361
8.5.7.11.17
181,140
147,124
—
—
52 363
2.9.2909
—
181, 99
224, 27
448, 18
52 369
16.3. 1091
63,220
221, 42
79,124
45 1, *5
52 379
2.26189
—
219, 47
—
—
52 387
2.3.8731
—
i93, 87
92,121
271, 71
52 391
2.5- I 3- I 3-3 I
—
—
—
—
52 433
16.29.113
223, 52
99,146
—
52 453
4.9.31.47
207, 98
—
229, 2
223, 77
52 457
8.79.83
229, 4
93^48
—
—
52 489
8.81. 81
125,192
1,162
229, 4
241, 75
52 501
14.3-625.7
201,110
—
227, 18
454, 12
52 511
1 2.5.59-89
—
—
—
QUADRATIC PARTITIONS.
135
p p-1
a b
c d
A B
L M
52 517
4. 19.691
209, 94
—
52 529
16.49.67
175^48
5i 5 i58
—
—
52 541
4-5-37-7I
229, 10
—
—
—
52 543
2.27.7.139
—
—
130,109
457, 7
52 553
8.6569
227, 32
129,134
—
—
52 561
16.9.5-73
225, 44
163,114
17,132
34, 88
52 567
2.3.8761
218, 41
34i, 59
52 571
2-5-7-75 1
— 27,161
—
52 579
2.9.23.127
— 1127,1351184, 79
421, 35
52 583
2. 61. 431
— — —
—
52 609
128.3.137
25,228
11,162! 97,120
194, 80
52 627
2.3.49.179
—
97,147 52,129
104, 86
52 631
2.5.19.277.
—
—
- —
52 639
2.3.31.283
—
—
34,i3i
359, 55
52 667
2.17.1549
—
123,137
—
—
52 673
64.823
97,208
225, 32 —
■ —
52 691
2.5. 11. 479
—
*53i 12 * —
—
52 697
8.7.941
229, 16
183, 98:
—
52 709
4-13*77
145,178
— —
—
52 711
2.3,5.7-251
—
— 202, 63
404, 42
52 721
16.5.659
185,136! 39,160
52 727
2.41.643
— —
52 733
4-13183
197,118, —
— —
52 747
2.3.59.149
— ! 77,153
212, 51424, 34
52 757
4. 1 2 1. 109
4I,226j —
—
—
52 769
32.17.97
113,200; 81,152
—
—
52 783
2.3.19.463
86,123172, 82
52 807
2.3.13.677
182, 81364, 54
52 813
4.81. T63
163,162; —
175, 86 83, 87
52 817
16.3301
161,164195, 86
— ; —
52 837
4.3-7-17.37
159,166 —
J 55, 98449, 19
52 859
2.13.19.107
— ! i47>i25
52 861
4.3.5-881
219, 70 —
l6 9, 9 338, 60
52 879
2.3.7.1259
— —
206, 59383, 49
52 883
2. 137.193
— 201, 79
— —
52 889
8. 11. 601
67,220 117,140
— ! —
52 901
4.25.23.23
1,230 —
1
52 903
2.9.2939
— —
230, 1 227, 77
52 919
2.26459
—
—
—
52 937
8.13.509
221, 64
225, 34
—
—
136
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
52 951
2-3-25-353
—
226, 25
301, 67
52 957
4.9.1471
I7M54
—
73,126
146, 84
52 963
2-3-7-I3-97
—
49,159
220, 39
440, 26
52 967
2-7 J -373
—
—
—
—
52 973
4.17. 19.41
227, 38
—
—
52 981
4-3.5-883
9.230
227, 22
161, 83
52 999
2.3.121.73
—
214, 49
361, 55
53 003
2.26501
—
171,109
—
—
53 017
8.3.47.47
229, 24
23,162
83,124
289, 69
53 047
2.9.7.421
—
230, 7
209, 79
53 051
2. 25.1061
—
93,149
—
—
53 069
4.13267
i3, 2 3°
—
—
—
53 077
4-3-4423
i5 I > I 74
—
163, 94
445, 23
53 087
2. 11. 19. 127
—
—
—
—
53 089
32-3-7-79
183,140
229, 18
209, 56
377, 5i
53 093
4.13. 1021
223, 58
—
—
— ■
53101
4-9-25-59
45,226
—
49, 1 3°
439, 27
53 113
8.3.2213
213, 88
25,162
29,132
58, 88
53 117
4.49.271
229, 26
—
—
—
53129
8.29.229
227, 40
159,118
—
—
53147
2.26573
—
3,163
—
—
53 149
4-3-43- io 3
75>2i8
—
119,114
238, 76
53 161
8.3-5-443
69,220
67,i5 6
173, 88; 91, 87
53 171
2.5.13.409
—
87,15!
!
53173
4.9.7.21 1
217, 78
—
221, 38,335, 61
53189
4.13297
17,230
—
53 197
4-3- II - I 3-3 I
221, 66
—
223, 34 3 2 5, 63
53 201
16.25.7.19
55>224
201, 80
— —
53 231
2.5-5323
—
—
53 233
16.3.1109
177,148
211, 66
31,132 62, 88
53 239
2.3.19.467
—
—
142,105284, 70
53 267
2.26633
—
63,157
— —
53 269
4.3- 2 3- I 93
185,138
211, 54422, 36
53 279
2.17.1567
—
—
— —
53 281
32.9-5-37
215, 84
9i,i5
167, 92443, 25
53 299
2.81.7.47
—
161,117
104,119461, 5
53 309
4.13327
203,110
—
53 323
2.3.8887
—
229, 21
16,133415, 39
53 327
2.7.13.293
—
—
—
53 353
8.27.13.19
37,228
109,144
85,124
457, i3
QUADRATIC PARTITIONS.
137
p
,-1
a b
c d
A B
L M
53 359
2.3.8893
— .
— .
178, 85
433, 3 1
53 377
128.3.139
231* 4
203, 78
65,128
449, 21
53 381
4-5- I 7-i57
191,130
—
—
—
53 401
8.3.25.89
195,124
187, 96
101,120
202, 80
53 407
2.27.23.43
—
—
230, 13
191, 81
53 411
2.5.49.109
—
231, 5
—
—
o3 419
2.3.29.307
—
101,147
44,13!
437^ 29
53 437
43.61.73
219, 74
—
217, 46
355, 57
53 441
64.5.167
71,220
171,110
—
—
53 453
4-7-23-83
77,218
—
—
—
53 479
2.9.2971
—
—
202, 65
7, 89
53 503
2.3.37.241
—
—
166, 93
332, 62
53 507
2.31.863
—
207, 73
—
—
53 527
2.3.11.811
—
—
98,121
265, 73
53 549
4.11.1217
i57 ? i7o
—
—
—
53 551
2.9.25.7.17
—
—
22,133
421, 37
53 569
64.27.31
i35,i88!i8i,io2
161, 96
322, 64
53 591
2.5.23-233
—
—
—
—
53 593
8.3.7. 11. 29
93,212
229, 24
115,116
233, 77
53 597
4.13399
229, 34
—
—
—
53 609
8.6701
I 55 > 1 72! 99^48
—
—
53 611
2.3.5.1787
— I3M35
112,117
224, 78
53 617
16.3.1117
231, 16)137,132
223, 36
446, 24
53 623
2.81. 331
— —
i94, 73
25, 89
53 629
4.3.41. 109
27*230 —
121,114
242, 76
53 633
128.419
193,128129,136
—
—
53 639
2.13.2063
— —
—
—
53 653
4.3.17.263
183,142 —
109,118
463, 3
53 657
8.19.353
59,224105,146
—
—
53 681
16.5. 11. 61
209,100
141,130
—
—
53 693
4.3I.433
197,122
—
—
—
53 699
2.26849
—
231, 13
—
—
53 717
4-i3 I0 33
89,214
—
—
—
53 719
2.3.7.1279
—
106,119
25 1 , 75
53 731
2.27.5.199
— 143^29
148,103
457, 15
53 759
2.26879
—
—
53 773
4.3.4481
67,222 —
209, 58
35, 89
53 777
16.3361
151,176! 87,152
—
—
53 783
2.26891
—
—
—
53 791
2.3.5. 11. 163
1
—
182, 83
43i, 33
138
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
53 813 4.11.1223
217, 82
—
—
—
53 819 2.71.379
—
213, 65
—
—
53 831| 2.5.7.769
—
—
—
—
53 849 8.53.127
5,232
201, 82
—
—
53 857
32.9.11.17
201,116
37,162
175, 88
439, 29
53 861
4.5.2693
31,230
—
—
—
53 881
8.3-5-449
85,216
167,114
227, 28
143, 85
53 887
2.3.7.1283
—
—
190, 77
41, 89
53 891
2-5-17-317
—
183,101
—
—
53 897
8.6737
61,224
63,158
—
—
53899,2.3.13.691
—
229, 27
232, 5
217, 79
53 917
4-3-4493
139,186
—
7,i34
395, 47
53 923
2.3.11.19.43
119,141
100,121
463, 7
53 927
2-59-457
—
—
—
53 939
2. 149. 181
—
231, !7
—
—
53 951
2.25.13.83
—
—
—
—
53 959
2.3.17.23.23
—
—
226, 31
3*9, 65
53 987
2.26993
—
225, 41
—
—
53 993
8.17.397
13,232
81,154
—
—
54 001
16.27.125
199,120
73,156
217, 48
434, 32
54 011
2.5. 11. 491
—
219, 55
—
54 013
4-3-7-643
187,138
—
151,102
302, 68
54 037
4.9.19.79
231, 26
i3,i34
389, 49
54 049
32.3-563
15,232
209, 72
89,124
283, 71
54 059
2. 151. 179
69,i57
—
—
54 083
2.7.3863
231, J 9
—
—
54 091
2.9.5.601
—
179,105
32,133
367, 55
54101
4.25-54I
55,226
—
—
—
54 121
8.3.5. 11.41
165,164
227, 36
43,132
86, 88
54133
4-3.13.347
167,162
—
221, 42
442, 28
54139
2.3.7.1289
—
133,135
136,109
463, 9
54 151
2.3.25. 19.19
—
—
j2i8, 47
359, 57
54 163
2.27.17.59
—
215, 63
76,127
457, i7
54167
2-7.53-73
—
—
—
54181
4.9-5-7.43
159,170
59,i3o
33 1 , 63
54193
16.3.1129
47,228
205, 78
71,128
455, J 9
54 217
8.27.251
189,136
1127,138
163, 96
326, 64
54 251
2. 125. 7. 31
—
i 93, I 5 I
—
—
54 26c
4-I3567
37,230
—
—
—
54 277
' 4.3-4523
129,194
203, 66
1
406, 44
QUADRATIC PARTITIONS.
139
p p—1 a b
c d
A B
L M
54 287
2.27143
54 293
4.49.277 I233, 2
— i —
—
54 311
2-5-5431
—
54 319
2.3.11.823
—
I54.IOI
i49, 85
54 323
2 -!57-i73
225, 43
—
54 331
2.3.5.1811
—
203, 81
23 2 , I 3
271, 73
54 347
2.29.937
—
213, 67
—
54 361
8.9.5. 151
219, 80
233, 6
197, 72
394, 48
54 367 2. 3. 13.17. 41
—
—
158, 99
316, 66
54 3711 2.5.5437
—
in,i45
—
—
54 377 8.7.971 229, 44
147,128
—
—
54 401 128.25.17 65,224
207, 76
—
—
54 403J2.3.9O67
121,141
196, 73
415, 4i
54 409
8.3. 2267
195,128
97,15°
91,124
463, 11
54 413
4.61.223
83,218
— —
—
54 419
2.7. 13.13.23
—
23 1 , 23 —
—
54 421
4-3-5-9°7
39,230
— 61,130
45i, 23
54 437
4-31-439 I9M34
—
—
—
54 443 2. 163. 167
—
51,161
—
—
54 449| 16.41.83
25,232
57,i6o
—
—
54 469 4-9- 1 7-89
225, 62
—
229, 26
151, 85
54 493: 4.3.19.239
117,202
25,134
377, 53
54 497 32. 13. 131
209,104
225, 44
—
—
54 499, 2.3.31.293
—
7,165232, 15
464, 10
54 503 2.7.17.229
—
—
54 517
4-3-7-H-59
231, 34
— 83,126
166, 84
54 521
8.5.29.47
211,100
27,164 —
—
54 539
2. n. 37. 67
—
189, 97 —
—
54 541
4.27.5. 101
179,15°
— iH3, I][ 8
241, 77
54 547
2.3.9091
—
r 93, 93! 68,129
136, 86
54 559
2 -9-7-433
—
— 122,115
223, 79
54 563
2.27281
—
159,121 —
—
54 577
16.9.379
89,216
233, 12193, 76
421, 39
54 581
4.5.2729
41,230
—
—
54 583
2.3.11.827
—
—
110,119
467, 3
54 601
8-3-25.7-13
149,180
77,156
227, 32
323, 65
54 617
8.6827
221, 76
213, 68
—
54 623
2.31. 881
—
—
54 629
4.7.1951
223, 70
—
—
—
54 631
2.9.5.607
—
—
166, 95
119, 87
140
QUADRATIC PARTITIONS.
p p- 1
a be d
A B
L M
54 647
2.89.307
:
—
54 667
2.9.3037
— I07,I47| 40,133
439, 3i
54 673
16.3.17.67
193,132221, 54 49,132
98, 88
54 679
2.3.13.701
— —
2,135
4, 9°
54 709
4.3-47-97
103,210 —
29,134
43i, 35
54 713
8.7.977
107,208231, 26
—
—
54 721
64.9.5.19
225, 64 161,120
233, 12
466, 8
54 727
2.3-7- 13°3
— —
218, 49
7i, 89
54 751
2.3.125.73
— —
226, 35
121, 87
54 767
2.139.197
—
—
54 773
4-I3693
233, 22 —
—
—
54 779
2.61.449
— 171,113
—
—
54 787
2.3.23-397
— i 65,159
80,127
301, 69
54 799
2.3-9J33
— —
182, 85
73, 89
54 829
4-9- I 5 2 3
125,198 —
3i,i34
37i, 55
54 833
16.23.149
217, 88!io 5 ,i 4 8
—
—
54 851
2.25.1097
— 201, 85
—
—
54 869
4.11. 29.43
137,190
—
—
54 877
4.3.17.269
11,234
— 233, 14
275, 73
54 881
32. 5-343
145,184
33,164 —
—
54 907
2.3.9151
—
i57, I2 3232, 19
289, 71
54 917
4.13729
209,106
—
—
—
54 919
2. 243.113
i34,ni
268, 74
54 941
4.5.41.67
229, 501
—
—
54 949
4.3.19.241
207,110
—
181, 86
77, 89
54 959
2.27479
—
—
—
—
54 973
4.27.509
213, 98
—
215, 54
43°, 36
54 979
2.3.49.11.17
—
23,^5
148,105
296, 70
54 983
2-37-743
—
—
—
—
55 001
8.625. 11
155,176
87,154
—
1 —
55 009
32.9.191
55,228
197, 90
121,116
227, 79
55 021
4.3.5-7.i3i
205,114
—
223, 42
446, 28
55 049
8.7.983
35>232
159,122
—
—
55 051
2.3-25.367
67,159
124,115
469, 3
55 057
I 6-33 I -37
129,196
227, 42
233« l6
185, 83
55 061
4-5-2753
215, 94
—
—
—
55 073
32.1721
233, 2 ^
165,118
—
—
55 079
2.27539 '
—
—
—
—
55 103
2.27551
—
—
—
—
55109
4-23-599
47,230
—
—
QUADRATIC PARTITIONS.
141
p
^-1
a b
c d
A B
L M
55117 U.9^53 1
19,234 —
127,114
254, 76
55 127 2.43.641
— ■ —
—
—
55 147 2.3.7.13.101
— 205, 81
232, 21
464, M
55 163j 2.27581
— ! 45, l6 3
—
—
55 171 2.9.5.613
— 233, 21
208, 63
416, 42
55 201
3 2 -3-25-23
151,180 101,150
217, 52
373, 55
55 207
2.9.3067
— —
*3©»"3
209, 81
55 213 4.3.43.107
77,222!
209, 62
395, 49
55 217 16.7. 17. 29
7i>224|i35,i36
—
—
55 219j 2.3.9203
— |i37 5 i35
224, 41
347, 61
55 229 4.13807
235, 2! —
—
—
55 243) 2.81. n. 31
— '235, 3
140,109
187, 83
55 249 16.3.1151
225, 681131,138
151. 104
161, 85
55 259
2-7-3947
— ii4i>i33
—
—
55 291
2.3-5- I 9.97
—
29,165
196, 75
392, 5°
55 313
16.3457
233> 32
3$i64
—
—
55 331
2. 5. 11. 503
—
207, 79
—
—
55 333
4-929.53
127,198
—
235, 6
47o, 4
55 337
8.6917
211,104
15,166
1
55 339
2.3.23.401
—
221, 57
92,125467, 11
55 343
2.7.59.67
—
—
— —
55 351
2.27.25.41
—
—
26,135 52, 90
55 373
4. 109. 127
227, 62
—
— —
55 381
4.3-5- I 3.7i
25,234
—
163, 98^131, 87
55 399
2.3.7.1319
—
—
74,129148, 86
55 411
2.3.5.1847
—
31,165
232, 23163, 85
55 439
2-53.523
—
:
|
55 441
16.9.5. 7. 11
215, 96
233, 24 143,108
286, 72
55 457
32.1733
169,164
123,142
—
—
55 469
4.49.283
163,170
—
—
55 487
2
27743
—
—
55 501
4
3- I2 5-37
5M30
— 193, 78
386, 52
55 511
2
5.7. 13.61
—
—
55 529
8
n. 631
173,160
l77,IIO —
—
55 541
4
5.2777
185,146
1
—
55 547
2
27773
—
l65,II9
55 579
2
3-59-I57
—
227, 45
64,131329, 65
55 589
4
13.1069
I75>I5S
—
— —
55 603
2
93089
—
71,159220, 49 367, 57
55 609
8
3.7.33I
203,120
103,15°
11,136
397, 49
142
QUADRATIC PARTITIONS.
p
,-i
a b
c d
A B
L M
55 619
2.27809
—
87,155
55 621
4.27.5.103
145,186
139,110
191, 83
55 631
2-5-5563
—
—
—
—
55 633
16.3. 19.61
192,137
119,144
215, 56
383, 53
55 639
2.9.11.281
—
—
226, 39
452, 26
55 661
4.5.121.23
115,206
—
—
—
55 663
2.3.9277
—
—
146,107
467, 13
55 667
2.13.2141
—
153^27
—
—
55 673
8.6959
43^32
231* 34
—
—
55 681
128.3.5.29
95,216
i93, 96
191, 80
43*> 37
55 691
2-5-5569
—
171,115
—
—
55 697
16.59-59
1,236
195, 94
—
—
55 711
2.9.5.619
—
—
94,125
281, 73
55 717
4-3-4643
3^234
—
43>!34
359, 59
55 721
8.5.7.199
5.236
1 89, 1 00
—
—
55 733
4.13933
233, 38
—
—
—
55 763
2.49.569
—
135,137
—
—
55 787
2.27893
—
3,167
—
—
55 793
16.11.317
143,188
141,134
—
—
55 799
2.23. 1213
—
—
—
—
55 807
2.3.71. 131
—
— 142,109
469, II
55 813
4-3-4651
223, 78
— 235, 14
i93, 83
55 817
8.6977
11,236
45,164 —
—
55 819
2.9.7.443
—
37,1651176, 91
97, 89
55 823
2.13.19.113
—
—
—
—
55 829
4. 1 7.82 1
215, 98
—
—
—
55 837
4-27-U-47
69,226
— 217, 54
434, 36
55 843
2.3.41.227
—
95^53 236, 7
215, 81
55 849
8.3.13.179
45» 2 32
209, 78
19,^6
427, 39
55 871
2.5-37-151
—
—
—
—
55 889
16.7.499
233, 4o
201, 88
—
—
55 897
8.3-i7-i37
221, 84
85,156
205, 68
1, 9i
55 901
4-25-13-43
235> 26
—
—
—
55 903
2.3-7-1331
—
—
206, 67
5> 9i
55 921
I 6.3-5- 2 33
15*236
T73, XI 4
161,100
i39, 87
55 927
2.9.13.239
— .
—
202, 71
11, 9 1
55 931
2.5.7.17.47
—
I47.I3 1
—
—
55 933
4-3-59-79
123,202
—
119,118
235. 79
55 949
4.71. 197
205,118
—
—
—
55 967
2.27983
—
—
—
—
'QUADRATIC PARTITIONS.
143
p
p-1
a b
c a
A B
L M
55 987
2-3-7-3I-43
—
113^47
200, 73
19, 9 1
55 997
4-13999
101,214
—
—
—
56 003
2.28001
—
15^67
—
—
56 009
8.7001
235, 28
99^52
—
—
56 039
2.28019
—
—
—
56 041
8.3.5,467
229, 60
221, 60
83,128
467, 15
56 053
4.81. 173
233> 42
—
211, 62
25, 9i
56 081
16.5. 701
191,140
93,154
—
—
56 087
2.29.967
—
—
—
—
56 093
4-37-379
203,122
—
—
—
56 099
2.7.4007
—
231, 37
—
—
56 101
4.3.25.11.17
225, 74
—
107,122
473, 5
56 113
16.3.7. 167
167,168
121,144
25,136
433, 37
56 123
2. 11. 2551
—
189,101
—
—
56131
2.3.5.1871
—
41,165
88,127
4691 13
56 149
4.3.4679
57,230
—
I3MI4
262, 76
56167
2.3.11.23.37
—
—
230, 33
460, 22
56171
2.5.41. 137
—
237, 1
—
—
56 179
29.3121
—
161,123
152,105
3°4, 7°
56197
4.9.7.223
161,174
—
235, 18
470, 12
56 207
2. 157.179
—
—
—
—
56 209
16.3. 1171
65,228
61,162
169, 96
338, 64
56 237
4.17827
221, 86
—
—
■ —
56 239
2. 3.7. 13.103
—
214, 59
37, 9i
56 249
8.79.89
2 35> 32
231, 38
—
—
56 263
2-3-9377
—
_
i34,u3
473, 7
56 267
2.7.4019
—
237, 7
■ —
—
56 269
4.27.521
237, 10
—
49^34
353, 61
56 299
2.3.11.853
—
43>i65
164, 99
328, 66
56 311
2.3.5.1877
—
■ —
2,i37
413, 45
56 333
4.14083
157,178
—
—
56 359
2.9.31. 101
—
194, 79
43, 9 1
56 369
16. 13. 271
145,188
237, 10
—
; —
56 377
8.243.29
i79,!5 6
235> 24
85,128
299, 71
56 383
2-3-9397
—
—
70,131
323, 67
56 393
8.7-19-53
107,212
5 x > l6 4
—
—
56 401
16.3.25.47
225, 76
157,126
137,112
199, 83
56 417
32.4I-43
79,224
I i77,ii2
—
— -
56 431
2.27.5.11.19
—
—
58,i33
457, 25
56 437
,4-3-4703
41,234
173, 94
109, 89
144
QUADRATIC PARTITIONS.
p
p-1
a b
c d ! A B
L M.
56 443
2.3.23.409
— 115,147124,117
248, 78
56 453
4. 1 1 1283
223, 82 —
—
56 467
2 -9-3 I 37
— 233, 33112,121
475, 3
56 473
8.3.13.181
67,228
5,168155,104
467, 17
56 477
4.7.2017
181,154
—
—
—
56 479
2-3-94*3
—
—
98,125
473, 9
56 489
8.23.307
115,208
81,158
—
—
56 501
4.125.113
199,130
—
—
—
56 503
2-9-43-73
—
—
i4,i37
425, 4i
56 509
4.3.17.277
85,222
— .
151,106
469, 15
56 519
2. 7. 11. 367
—
—
—
—
56 527
2.3.9421
—
—
178, 91
45 1 , 29
56 531
2-5-5653
— .
159,125
—
—
56 533
4-3-7-673
I53.I82
—
109,122
257, 77
56 543
2.17. 1663
—
—
—
—
56 569
8.3-2357
237, 20
11, 168
163,100
463, 21
56 591
2-5-5659
—
—
—
—
56 597
4.I4I49
119,206
—
—
—
56 599
2-3-9433
—
—
218, 55
53, 91
56 611
2.9-5- I 7.37
—
217, 69
44,i35
88, 90
56 629
4.9.121.13
215,102
—
77,13°
3i3, 69
56 633
8.7079
53,232
39,166
—
—
56 659
2.3-7-i9-7i
—
47,165
*72, 95 XI 3, 89
56 663
2. 41. 691
—
—
— —
56 671
2.3.5.1889
—
—
238, 3:476, 2
56 681
8.5.13.109
91,220
237, 16
— —
56 687
2.7.4049
—
—
— —
56 701
4.81.25.7
75.226
—
167, 98461, 23
56 711
2-553- io 7
—
—
56 713
8. 3.17. 139
227, 72
65,162
35,i36
373, 57
56 731
2.3.5.31. 61
—
227, 5 1
208, 67
409, 47
56 737
32.9.197
81,224
17,168
103,124
475, 7
56 747
2. 17. 1669
—
237, 17
—
—
56 767
2.39461
—
—
190, 83
59, 9i
56 773
4.9.19.83
207,118
—
229, 38
115, 89
56 779
2.3-9463
■ —
221, 63
236, 19
i79, 85
56 783
2. 11. 29.89
—
—
—
—
56 807
2.28403
—
—
—
—
56 809
8.27.263
165,172
19,168
211, 64
403, 49
56 813
4.7.2029
13,238
—
—
—
QUADRATIC PARTITIONS.
145
p p-l
a bio d A B J L M
56 821 4.3-5-947
105,214
— 227, 42454, 28
56 827; 2.9.7. ii. 41
—
163,123220, 53 61, 91
56 843; 2.97.293
—
i95* 97 —
56 857 8.3.23.103
101,216
137^38 37^36445* 33
56 873 8.7109
187,148
141,136
5689112.5.5689
—
237, 19
i
56 893J4-3-H-43I
133^98
—
55**34347, 63
56 897 64.7.127
161,176
225, 56
— —
56 909 4-41-347
205,122
—
— — ■
56 911 2.3.5.7.271
—
—
62,133337, 65
56921:8.5.1423
35*236213, 76
— —
56 923| 2.3.53.179
— 131,141
J 76, 93352, 62
56 929 32.3.593
177,160223, 60
199, 76427, 41
56 941 4 - 3-5-13-73
221, 90; —
79^30469, 17
56 951 2.25.17.67
—
—
— —
56 957; 4.29.491
i39>i94
—
— —
56 963i 2.19. 1499
■ — ■
201, 91
— ;
56 983| 2.3.9497
—
—
26,137437, 37
56 989| 4-9-1583
235> 42
—
233* 3 466, 20
56 993 32.13.137
233, 52
165,122
!
56 999 2.28499
—
—
57 03714.3.49.97
189,146
—
97,126194, 84
57 041 16.5. 23.31
215,104
57,164
57 047: 2. 11. 2593
—
—
57 059: 2.47.607
—
231, 43
57 073 16.3.29.41
57,232 25,168
89,128473, 13
57 077 4.19:751
121,206
57 089 256.223
217,100
171,118
57 097|8.9.i3.6i
181,156
125,144
157,104155, 87
57 107 2.7.4079
—
63,163
57119
2.28559
—
—
57 131
2.5.29.197
—
3, l6 9
57 139
2.3.89.107
—
239, 3
I96, 79
433, 39
57 143
2.28571
—
—
—
57 149
4-7-i3- I 57
155^82
—
—
57 163
2.3.7. 1361
—
205, 87
64,133 463, 23
57 173 4.14293
23*238
—
• —
57 179 2.1 1. 23. 113
—
123,145
—
57 191s 2.5.7.19.43
—
—
—
57193
8.3.2383
237> 32
239, 6
149,108
298, 72
146
QUADRATIC PARTITIONS.
p
p-1
a b
c (1
A B i L M
57 203
2-37-773
—
9,169: —
—
57 221
4.5.2861
239, 10
— ' —
—
57 223
2.9.11.17.17
—
— 94,127
475, "
57 241
8.27.5.53
125,204
197, 96
229, 40
349, 63
57 251
2.125.229
—
183,109
—
57 259
2.9.3181
—
53,i65
76,131
3i7, 69
57 269
4.103.139
25,238
—
—
—
57 271
2-3-5- 2 3-83
—
—
218, 57
436, 38
57 283
2.3.9547
—
239, 9
236, 23
305, 7i
57 287
2.28643
—
—
57 301
4.3.25.191
201,130
—
13,138
26, 92
57 329
16.3583
185,152
201, 92
—
—
57 331
2.9.5.49.13
—
233, 39
32,137
443, 35
57 347
2-53-541
—
i5,!69
—
—
57 349
4.243.59
225, 82
—
59,i34
461, 25
57 367
2.9.3187
122,119
479, 1
57 373
4.3.7.683
27,238}
169, 98
125, 89
57 383
2.13.2207
—
—
—
57 389
4.14347
67,230
—
—
—
57 397
4.3.4783
151,186
—
125,118
229, 81
57 413
4-3M63
193,142
—
—
_
57 427
2.3« I 7-5 6 3
— ,103,153
160,103
469, 19
57 457
16.27.7. 19
231, 64217, 72
185, 88
79, 9i
57 467
2.59.487
— 75,i6i
—
57 487
2.3.11.13.67
110,123
220, 82
57 493
4.9.1597
217,102
—
19^38
38, 92
57 503
2.28751
— —
—
57 527
2.49.587
— —
—
—
57 529
8.9.17.47
235, 48
71,162
131,116
479, 5
57 557
4.14389
i99,i34
57 559
2.3-53.181
—
206, 71
4i9» 45
57 571
2.3.5.19.101
—
239, 15
236, 25
161, 87
57 587
2.28793
—
225, 59
—
—
57 593
8.23.313
203,128
231, 46
—
—
57 601
256.9.25
1,240
127,144
73,i32
146, 88
57 637
4.9.1601
81,226
203, 74
425, 43
57 641
8.5.11.131
179,160
207, 86
—
—
57 649
16.3. 1201
7,240
I5i»i3*
191, 84
382, 56
57 653
4.7.29.71
233, 58
—
—
—
57 667
2.3.7.I373
223, 63
88,129
176, 86
QUADRATIC PARTITIONS.
147
p p-l
a be d
A B
L M
57 679 2.3.9613
— J202, 75U04, 50
57 689 8.7211
133,200 183,110,
57 6971 32.3.601
239, 24
95,*5 6 | 47,1361361, 61
57 709 4.9.7.229
147,190
— 239, 14281, 75
57 713 16.3607
113,212
5 I , I 66; —
57 719 2.28859
.
57 727 2.27.1069
— 238, 19295, 73
57 731 2.5.23 251
^s,^ 1 —
57 737 8.7.1031
139,196
237, 28
57 75l! 2. 3.125. 7. n
— 1 38,137 449, 33
57 773| 4.11.13.101
157,182
— —
57 781 4.27.5.107
55,234
— 163,102326, 68
57 787 2.3.9631
85,159200, 7743 1 , 4i
57 791 2.5.5779
57 793; 64.3.7.43
63,232
209, 84151,108302, 72
57 803 2.28901
45, l6 7
57 809 ! 16.3613
97,220
3,!7° — —
57 829 4.3.61.79
223, 90
— 101,126202, 84
57 839
2. 121. 239
— -
__ — —
57 847
3.3.31.3 u
—
— :ii8,i2H48i, 1
57 853
4.9.1607
I97>138
— 199, 78398, 52
57 859 2.3.9643
121,147
124,119233, 81
57 881 8.5.1447
I55JI84
9,i7o
— —
57 899j 2.28949
69,163
— —
57 901 4.3.25.193
205,126
—
127,118481, 3
57 917
4.14479
229, 74
—
— —
57 923
2.28961
111,151
— —
57 943
2.27.29.37
J230, 41353, 63
57 947
2.7.4139
93,i57!
57 973
4-3-483I
i37,T98
29,138 58, 92
57 977! 8.7247
211,116
165,124
57 991
2 -3-5- I 933
—
— ' 98,127283, 75
58 013
4-i45°3
37,238
— — —
58 027
2.3.19.509
—
227, 57 8,139409, 49
58 031
2.5.7.829
—
— — —
58 043
2.29021
—
219, 71 —
58 049
64.907
65,232
159,128
58057:8.3.41.59
221, 96
193,102133,116215, 83
58 061! 4.5.2903
125,206
— , — —
58 067
2.29033
—
225, 61
—
—
148
QUADRATIC PARTITIONS.
p-1
A B
L M
58073,8.7.17.61 187,152
58 099 2.3.23.421
58109 4.73.199
58 111 2.3.5.13.149
58129,16.3.7.173
58 147|
58 151!
58 153 !
58 169!
58 171|
58 189
58 193
58 199
58 207
58 211
58 217
58 229
58 231
58 237
58 243
58 271
58 309!
58 313
58 321|
58 337!
58 363;
58 367i
58 369
58 379
58 391!
58 393'
08 403
58 411'
58 417
58 427
58 439
58 441
58 451
58 453
58 477
2.3.11.881
2. 25.1163
8.3.2423
8.11.661
2.3-5-7-277
4-3-I3-373
16.3637
2.7.4157
2.3.89.109
2.5.5821
8.19.383
4-14557
2.9.5.647
4.3.23.211
2.3-17.571
2.5.5827
4.3-43.ii3
8.37.197
16.729.5
32.1823
201, 94 —
241, 3196, 81
203,130
23,240' 41,168
— 167,123
106,125
241, 4
392, 54
269, 77
253, 79
220, 57440, 38
173,168241, 6 181, 92 95, 91
115,212213, 80 —
— 61,165
195,142 —
223, 92 189,106
136,115481, 7
241, 6
82,131
33^69 —
229, 76237, 32
73,230 —
59,234
— 24
95,222 ■
4 82 :
3", 7i
238, 23 169, 87
103,126206, 84
44,i37j455> 3 1
139,114278, 76
67,232225, 62 —
161,180163,126239, 20299, 73
241, 16207, 88] —
— 221, 69! 20,139397, 53
241, 12 16 r, 104 473, 19
51.167
2-3.71.137 !
2-7.11.379 1
1024.3. 19 225,
2.1 7.17.101
2-5-5839
8.9.811 423,208215, 78 211, 68 7, 93
2.29201 81,161
2.9.5.11.59 i — 197, 99212, 67 11, 93
6.3.1217 1239, 36 77,162193, 84386, 56
2.131.223
2.61.479
8.3.5.487
2.25.7.167
4.3.4871
4.3. 1 1.443
'95,
29,240223, 66227, 48454, 32
— 201, 95
183,158 «— 205, 74 17, 93
61,234 — 223, 54446, 36
QUADRATIC PARTITIONS.
149
p-l
A B
L M
58 481,
58 511
58 537
58 543
58 549
58 567!
58 573
58 579
58 601
58 603
58 613
58 631
58 657,
58 661
58 679|
58 687|
58 693
58 699
58 711
58 727,
16.5.17.43
2.5.5851
8.27.271
2.3.11.887
4.3.7.17.41
2.3.43.227
4.9.1627
2.3-I3-75 1
8.25.293
2.3.9767
4.14653
2. 5. 11. 13. 4:
32.3.13.47
4.5.7.419
2.29339
2.3.9781
4-3.67.73
2.27.1087
2.3.5.19.103
2.29363
241, 20237, 34j —
109,216143,138203, 76
74,i33
105,218 179, 94
242,
239,
22
3,242 —
— 239, 27236, 31
101,220147,136 —
— j 11,171224, 5
7,242 —
241, 24
145^94
97,222
47,168145,112
— 1218,
— ;235,
jio9,i53|i84, 91
— I242,
58733.4.14683 : 13,242;
58 74l| 4.3.5. 1 1.89 |i2i,2io;
58 757 4.37.397 ' 241, 26
58 763
58 771
4-37-397
2. 11. 2671
2.9.5.653
58 787;
58 789
58 831]
58 889
58 897j
58 901 1
58 907!
58 909
58 913
58 921
58 937|
58 943
58 963
58 967
58 979
2.7.13.17.19 —
4.9.23.71
2-3.5.37.53
8.17.433
16.9.409
4.25. 19.31
2.29453
4.3.4909
32.7.263
8.3.5.491
8-53-139
2.13.2267
2.3-3 I -3i7
2.29483
2.37.797
15,242
75,^3
17,171
153,133
125,208
201,136
33,i7o
233, 48
151,190
165,178
233, 68
211,120
237, 37
219, 74
239, 30
179,164
123,148
—
241, 21
—
231, 53
64,135
229, 46
238, 27
113,124
71,134
11,140
236, 33
25,
325,
103,
239,
i73,
i43,
3^3, 57
481,
35, 93
337, 67
457, 3i
221, 83
r 73, 98467, 25
128, 90
367, 61
476, 18
259, 79
473, 21
43i, 43
472, 22
150
QUADRATIC PARTITIONS.
P
d I A B
L M
58 991
58 997
59 009:
59 Oil
59 021
59 023!
59 029
59 051
59 053
59 063:
59 069;
59 077J
59 083:
59 093 ;
59 107|
59 113i
59 119
59 123 !
59 141 1
59 149J
59 159|
59 1671
59 183
59 197;
59 207
59 209
59 219
59 221
59 233
59 239
59 243
59 263
59 273
59 281
59 333
59 341
59 351
59 357
59 359
59 369
2-5- I 7-347
4-343-43
128.461
2.3.5.7.281
4.5.13.227
2.27.1093
4.3.4919
2.25.1181
4-3-7-I9-37
2.29531
4.14767
4-27-547
2.3.43.229
4.11.17.79
2.3.9851
8.9.821
2.3.59.167
2.7.41. 103
4.5- 2 957
4-9 3T-53
2. n. 2689
2.9.19.173
I 2.127.233
! 4.3.4933
i 2.7.4229
,8.3.2467
1 2. 29.1021
4.9.5.7.47
32.3.617
2.27.1097
89,226 — — —
103,220171,122 —
23,171 52,137 359, 63
115,214 —
— 134,117268, 78
135*202 — : 22 7, 50377, 59
243>
243>
1241, 18482, 12
2 35> 62 —
129,206 — ■ 107,126214, 84
— I39» I 4« 19 6 , 8 3 53, 93
23*242 —
; 25,171 188, 89455. 33
243, 8145,138235, 36470, 24
34,139451, 35
135^43
79,230
243, 10
219,
106
85,
228
221,
72
20I,
97
215*
114
207,
128
24T,
24
239* 26317, 71
238, 29 151, 89
73, J 343 2 9, 6 9
61,136469, 25
211, 70421, 47
209, 72418, 48
242, 15484, 10
2-i9- I 559 *95, io 3 — : —
2.3.7. !7.83 — — 214, 67,415, 49
8.31.239 227, 88129,146
16.3.5. 13.19 41,240103,156241, 20181, 87
4.7.13.163 223, 98
4.3.5-23.43 195^46 , 47,138
2.25.1187
4.11. 19.71 91,226 —
2.3.13.761 — 1154,109
8.41.181 155,1882-37, 40 —
94, 92
481, 15
QUADRATIC PARTITIONS.
151
V
p-1
a bio d A B L M
59 377 16.3.1237
241, 36! 83,162
217, 64409, 51
59 387
2. 23.1291
— ! 243> 13
— i —
59 393
2048.29
127,208 15,172
— —
59 399
2.17. 1747
—
— —
59 407
2.3.9901
— —
38,139379, 59
59 417
8.7.1061
61,236 75,164
59 419
2.9.3301
— 179,117
112,1251263, 79
59 441
i6.5-743
145,196243, 14I
59 443
2.3.9907
3M7i 56,137467, 27
59 447
2.29723
: l
59 453
4.89.167
53,238 — — —
59 467
2.3.11.17.53
— 227, 63! 80,133319, 71
59 471
2.5- I 9-3i3
i
59 473
16.9.7.59
233, 72 55,168239, 28^55, 89
59 497
8.3-37.67
229, 84157,132! 85,132170, 88
59 509
4.27.19.29
i S3j 1 9°\ — 109,126218, 84
59 513
8.43-J73
173,172219, 76 —
59 539
2.3.9923
— 241, 27244, 1 247, 81
59 557
43-7-709
209,126 — 235, 38 121, 91
59 561
8.5.1489
5,244243, i6| —
59 567
2.13.29.79
— _
59 581
4-9-5-331
235, 66 — 233, 42466, 28
59 611
2.3.5.1987
— 187,111244, 5229, 83
59 617
32.81.23
9,244197,102185, 92461, 31
59 621
4.5.11.271
239, 5° —
59 627
2.7.4259
— 243, 17 —
59 629
4.3.4969
227, 90 — 161,106 r 57, 89
59 651
2. 25.1193
— T 77, TI 9
—
59 659
2.3.61. 163
— 211, 87
4,141
8, 94
59 663
2.23.1297
—
59 669
4.7.2131
55,238
—
—
59 671
2.27.5- I 3 I 7
—
—
58,137 353, 65
59 693
4.14923
163,182
—
—
—
59 699
2.19.1571
—
81,163
—
—
59 707
2.9.31. 107
35,i7i
8,141
16, 94
59 723
2.13.2297
—
5 T , l6 9
—
—
59 729
16.3733
223,100
99,i58
—
—
59 743
2 .9.33i9
■ — ■
—
10,141
20, 94
59 747
2.29873
—
63,167
59 753
8.7.11.97
77,232
m,i54
—
- 1
152
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
59 771
2.5-43-!39
—
243, 19 —
59 779
2.729.41
—
73, l6 5 244, 9488, 6
59 791
2-3-5-J993
— 82,133481, 17
59 797
4.9.11.151
71,234 — | 77,134479, 19
59 809
32.3.7.89
47,240191,108241, 24482, 16
59 833
8.27.277
243, 28235, 48149,112187, 87
59 863
2.3.11.907
— —
190, 89: 77, 93
59 879
2.49.13.47
— —
—
—
59 887
2. 27.1109
— —
242, 21
484, 14
59 921
16.5.7. 107
65,236189,110
—
—
59 929
8.3.11.227
195,148 59,168173,100127, 91
59 951
2. 25. 11. 109
\
—
59 957
4.i3- IJ 53
119,214
—
59 971
2.3-5- J 999
— 97>l59l64,I05
328, 70
59 981
4.5.2999
205,134 —
—
59 999
2. 131.229
'
—
60 013
4.9.1667
237, 62 — !i45>n4
290, 76
60 017
16.121.31
241, 44243, 22 —
—
60 029
4-43-349
245, 2 —
—
60 037
4-3-5 00 3
239, 54 — 245, 2
251, 81
60 041
8.5.19.79
245, 4237, 44 —
—
60 077
4.23.653
221,106 — —
—
60 083
2. 11. 2731
15,173 —
—
60 089
8.7.29.37
245, 82 3i, 58
60 091
2.3.5.2003
— 221, 75196, 85451, 37
60101
4.25.601
95,226; —
60 103
2.81.7.53
— 230, 49 83, 93
60 107
2.41.733
— ;2 4 3, 23 —
60127
2. 3. 11. 911
22,141 44, 94
60 133
4.3.5011
223,102 245, 649O, 4
60139
2.9.13.257
181,117208, 75416, 50
60149
4.11.1367
2l5,Il8
—
— —
60161
256.5-47
25,244
213, 86
— —
60167
2.67.449
—
— —
60169
8.3.23.109
245, I2
61,168
60 209
16.53.71
175^72 141, 142
60 217
ZS'tS-W
171,176185,114245, 8269, 79
60 223
2.3.10037
— 206, 77 437, 43
60 251
2. I25.24I
147,139
—
—
60 257
32.7.269
239, 56
33,i72
—
QUADRATIC PARTITIONS.
153
p p — 1
a b
c d
A B
L M
60 259
2.3. 121.83
—
241, 33
236, 39472, 26
60 271
2.3.5.49.41
—
—
122,123244, 82
60 289
128.3. 157
167,180
149,138
119,124253, 81
60 293
4-*5°73
113,218
—
— —
60 317
4.17.887
181,166
' —
60 331
2.3.5.2011
• —
43^71
116,125491, 3
60 337
16. 9. 419
199,144
215, 84
167,1041479, 21
60 343
2.3-89.113
—
—
194, 8 7 | 3 88, 58
60 353
64.23.41
»93» I 5 a
81,164
— —
60 373
4-27.13.43
2 33> 7?
—
221, 62407, 53
6u 383
2.7.19.227
—
—
—
60 397
4.3.7-719
211,126
—
113,126
226, 84
60 413
4-H.I373
43,242
—
—
—
60 427
2.81.373
—
235> 5 1
28,141
5 6 , 94
60 443
2.47.643
—
219, 79
—
—
60 449
32.1889
143,200
129,148
—
—
60 457
8. 3. 11. 229
69,236
205, 96
245, 12
49°, 8
60 493
4.3.71. 71
243> 38
— .
1,142
427, 47
60 497
16. 19.199
3^244
195,106
—
—
60 509
4.7.2161
245, 22
—
—
—
60 521
8.5.17.89
205,136
207, 94
—
—
60 527
2.53.571
—
—
—
—
60 539
2.30269
—
69,167
—
—
60 589
4.81. 11. 17
45,242
—
239, 34
137, 9i
60 601
8.3.25. 101
245, 24
7,i74
107,128
49 1 , 7
60 607
2.9-7. 13-37
—
—
158,109
169, 89
60 611
2. 5. 11. 19.29
—
177,121
—
—
60 617
8.7577
149,196
243, 28
—
—
60 623
2.17. 1783
—
—
—
—
60 631
2.3.5.43.47
—
—
166,105
332, 70
60 637
4-3-3 I -i63
11,246
—
233 ? 46
95, 93
60 647
2.30323
—
—
—
—
60 649 8.3.7. 19.19
243, 40239, 42
43,140
377, 61
60 659| 2.13.2333
— 159^33
—
—
60 661 4.9.5-337
135,206! —
13^42
439, 43
60 6791 2.9.3371
— —
154,111
308, 74
60 689 16.3793
233> 80 39,172
—
—
60 703 2.3.67. 151
—
—
230, 5 1
460, 34
60 719 2.7.4337
—
—
—
—
60 727
j 2.3.29.349
—
—
170,103
139, 9 1
154
QUADRATIC PARTITIONS.
p
p-i
a b
c d
A B
L M
60 733
4.9.7.241
107,222 —
!85, 94
97, 93
60 737
64-I3-73
71,236 75,166
—
—
60 757
4.3.61.83
86,231 —
83,134485, 17
60 761
8.5.49.31
35,244219, 80
— —
60 763
2.3.13.19.41
— 101,159
124,123248, 82
60 773
4.I5I93
47>242 —
60 779
2.30389
— HM43
— —
60 793
8.3.17.149
237, 68139,144
245, J 6i97, 87
60 811
2.3.5.2027
— 203, 99
88,133487, 15
60 821
4-5-304I
89,230 —
— —
60 859 2.27.49.23
— 197,105
244, 21488, 14
60 869 4-15217
65,238 —
— —
60 887
2.7.4349
— —
— —
60 889
8-3-43-59
I 55, I 92i5 I , I 38
133,120,266, 80
60 899
2.30449
— 207, 95
— —
60 901
4.3.25.7.29
175^74' — 1101,130289, 77
60 913
16.81.47
177,172 19,174161,108322, 72
60 917
4-97-157
199,146 —
60 919
2.3.11.13.71
- J214, 71] 1, 95
60 923
2.83.367
— ji95,i°7| —
60 937
8-3-2539
139,204, 67,168227, 56
395, 57
60 943
2.3.7.1451
190, 91
463, 33
60 953
8. 19.401
133,208105,158
—
—
60 961
32.3.5- I2 7
169,180187,114217, 68
!3, 95
61001
8.125. 61
235, 76 99,i6o:
61007
2.11.47.59
—
— —
—
61027
2-3-7-1453
—
247, 3232, 49
379, 61
61031
2-5-I7-359
—
—
61043
2.23.1327
—
129,149: —
—
61051
2.3.25.11. 37
—
227, 69208, 77
23, 95
61057
128.9.53
39,244
235, 54 247, 4
259, 81
61091
2.5.41. 149
—
63,169! —
—
61099
2.3- I 7-599
—
157,135 56,139
361, 65
61121
64.5.191
185,164
117,154 —
—
61129
8.27.283
^95^S 2
127,150221, 64
29, 95
61141
4.3.5.1019
25,246
—
173,102
346, 68
61151
2.25.1223
—
—
—
—
61153
32-3-49-13
247, 12
229, 66
241, 32
145, 9i
61169
16.3823
113,220
237, 5°
—
—
61211
2.5.6121
—
213, 89
—
—
QUADRATIC PARTITIONS.
155
p
p-l
a b
c d
A B
L M
61 223
2-7-4373
—
—
—
—
61231
2.3-5- I 3-i57
—
—
142,117
284, 78
61253
4-i53 r 3
143,202
—
—
—
61261
4.3.5. 1021
131,210
—
223, 62
37, 95
61283
2. i3- 2 357
225, 73
—
—
61291
2.27.5.227
53 5 i7i
188, 93
376, 62
61297
16.3.1277
121,216
247, 12
95,!3 2
190, 88
61 331
2-5-6133
—
9,175
—
—
61333
4.3.19.269
247, 18
—
29,142
397, 57
61339
2 3.10223
—
83,165
224, 61
4i, 95
61343
2.30671
—
—
—
61357
4-3-5ii3
29,246
—
65,138
130, 92
61363
2.9.7.487
—
215, 87
4,i43
425, 49
61379
2.30689
39, J 73
—
—
6138L
4.9.5.11.31
159,190
—
203, 82
43, 95
61403
2. 11. 2791
—
75, l6 7
—
—
61409
32.19.101
247, 20
219, 82
—
—
61417
8.9853
219,116
163,132
77,i36
33 1 , 7i
61441
4096.3-5
225,104
n^S 6
247, I2
494, 8
61463
2.79.389
—
—
—
—
61469
4.121.127
245> 38
—
—
—
61471
2.9.5.683
—
—
202, 83
47, 95
61483
2.3.10247
—
245, 27
100,131
293, 77
61487
2-71-433
—
—
—
—
61 493
4.15373
247, 22
—
—
—
61507
2.27.17.67
—
35.17*
248, 1
245, 83
61511
2.5-6151
—
..._
—
—
61519
2.3.10253
—
—
226, 59
49, 95
61543
2.9.13.263
—
—
i4,M3
443, 43
61547
2.30773
—
165,13!
—
—
61553
16.3847
7,248
231, 64
—
—
61559
2.7.4397
—
—
—
—
61561
8.81.5.19
45> 2 44
181,120
163,108
326, 72
61583
2.41. 751
—
—
—
—
61603
2.3.10267
—
185,117
16,143
4i3, 53
61609
8.3.17.151
147,200
241, 42
53,MC
473, 29
61 613
4.73-2ii
173,178
—
—
—
61627
2.3.10271
—
205, 99
232, 5 1
464, 34
61 631
2.5.6163
—
—
—
-
61637
4.19.811
1209,134
—
—
1 - 1
156
QUADRATIC PARTITIONS.
V
p-l
a b | c d
A B L M
61643
2.49.17.37
—
99,161
— —
61651
2.9.25.137
—
199,105
248, 7227, 85
61657
8.3-7.367
229, 96
247, 18
155,112181, 89
61667
2. 11. 2803
—
207, 97
61 67.3
8.13-593
13,248
81,166
61681
16.3.5.257
241, 60
173,126
97,132194, 88
61687
2.9.23.149
—
—
238, 41115, 93
61 703
2.30851
—
—
— —
61717
4.3.37.I39
201,146
—
35,142391, 59
61723
2.243.127
—
235, 57244. 27488, 18
61729
32.3.643
15,248
239, 48 79,136487, 19
61751
2. 125.13.19
—
—
— . —
61757
4.15439
139,206
—
—
—
61781
4.5.3089
185,166
—
—
61813
4.9.17.101
57>242
—
131,122497, 3
61819
2.3.10303
—
211, 93
212, 75424, 5°
61837
4.3.5153
221,114
—
175,102
35o, 68
61843
2.3.ii.937
—
169,129
116,127
265, 81
61861
4.3-5. io 3*
225,106
—
37,i42
463, 35
61871
2.5.23.269
—
—
61879
2.3.10313
—
134,121 229, 85
61909
4.3.7.11-67
247, 30
221, 66442, 44
61927
2.3.10321
—
158,111
3*6, 74
61 933
4-3- I 3-397
227,102
209, 78
418, 52
61 949
4.17. 911
235, 82
—
—
—
61961
8.51549
245» 44
3,176
—
—
61967
2.30983
—
—
—
61979
2.7.19.233
—
27,175
—
—
61981
4.3-5- io 33
85,234
—
247, 18
494, 12
619»7
2.3.10331
—
J 37,i47
208, 79
445, 43
61991
2.5.6199
—
—
—
—
62 003
2.29.1069
—
249, 1
—
—
62 011
2.9-5. T 3-53
—
io7,i59
248, 13
209, 87
62 017
64.3.17. 19
249, 4
203,102
223, 64
4i5, 53
62 039
2.31019
—
—
—
—
62 047
2.81.383
—
—
J 9°, 93
380, 62
62 053
4-3-5 z 7i
113,222
—
245, 26
323, 73
62 057
8.7757
109,224
207, 98
—
—
62 071
2.3.5.2069
—
—
86,135
172, 90
62 081
128.5.97
191,160
177,124
—
~~
QUADRATIC PARTITIONS.
157
p
*-l
a b
c d
A B
L M
62 099
2.61.509
1 _
249, 7
62 119
2.9.7.17.29
—
206, 81 412, 54
62 129
16.11.353
1 25,248
249, 8
— —
62 131
2. 3.5. 19.109
—
241, 45
28,143401, 57
62 137
8.9.863
5M44
197,108
235, 48470, 32
62 141
4-5- I 3- 2 39
245, 46
—
— —
62 143
2-3- io 357
—
50,141 100, 94
62171
2.5.6217
— 1189,115
— —
62189
4.7.2221
205,142! —
— —
62191
2.9.5.691
— —
238, 43 367, 65
62 201
8.25.311
149,200249, 10
—
—
62 207
2. 19.1637
—
—
—
—
62 213
4.103.151
I 93 > 1 5 8
—
—
62 219
2 - T 3- 2 393
—
237, 55
—
62 233
8-3-2593
27,248
4i,i74
5, J 44
10, 96
62 273
64.7.139
223,112
159,136
—
—
62 297
8.13.599
221,116213, 92
—
—
62 299
2.9.3461
— I*79»"3
104,131
497, 9
62 303
2-3 II 5 I
— —
—
—
62 311
2-3.5-31.67
— —
118,127
499, 3
62 323
2.3.13.17.47
— 239, 51
236, 47
377, ^3
62 327; 2.11.2833
—
62 347; 2.3.10391
— 187,117
52,141
104, 94
62 351 2.25.29.43
— —
—
—
62 383 2.3.37.281
146,117
292, 78
62 401! 64.3-25.13
249, 20 43,174
233, 52
77, 95
62 417: 16.47.83
169,184 57,172
—
—
62 423 2.23.23.59
— —
—
—
62 459 2. n. 17. 167
51,173
—
—
62 467 2.3.29.359
— 247, 27
112,129
224, 86
62 473 8.3.19.137
93,232191,114
101,132
202, 88
62 477
4.15619
211,134 -
—
—
62 483
2.7.4463
— 225, 77
—
—
62 497
32.9.7.3 1
111,224145,144
i7,i44
34, 96
62 501
4.15625
1,250
—
—
—
62 507
2.31253
—
147,143
—
—
62 533
4-81.193
63,242
—
229, 58
403, 57
62 539
2.3.7.1489
—
i39,i47
164,109
163, 91
62 549
4.19.823
7,250
—
—
—
62 563
2.3.10427
I5 X » Z 4*
160,111
329, 74
3^S>
158
QUADRATIC PARTITION'S,
p
p — 1 | a b
c d
A B
L M
62 581
4.3.5.7.149
9r25o
—
109,130
499, 7
62 591
2. 5. 11. 569
—
—
—
—
62 597
4.15649
239, 74
—
—
—
62 603
2.113-277
—
l6 5>i33:
—
—
62 617
8.3.2609
189,164
245, 36
187, 96
374, 64
62 627
2.173.181
—
I 35, 1 49
—
—
62 633
8.7829
133,212
189,116
—
—
62 639
2.31319
—
—
—
—
62 653
4.3.23.227
I23 y 2l8
• —
215, 74
437, 47
62 659
2-9-59-59
— -
M77
172,105
344, 70
62 683
2-3-3 I -337
—
5**77
220, 69440, 46
62 687
2.13.2411
— ■
— —
62 701
4.3.25. 11. 19
99,230
47,142 379, 63
62 723
2. 11. 2851
—
249, 19
— —
62 731
2.9.5.17. 41
— 9 1 > l6 5
212, 77443, 45
62 743
2.3-io457
250, 95°°, 6
62 753
32.37-53
233, 92219, 86
— —
62 761
8.3-5-523
205,144 47,174
181,100481, 27
62 773
4 3-523 1
247> 42 —
211, 78422, 52
62 791
2.3.5.7.13.23
— —
38,143467, 35
62 8<>1
16.25.157
151,200249, 20
—
—
62 819
2.49.641
— 159,137
—
—
62 827
2-3-37-283
13,177
248, 21
496, 14
62 851
2.3.25.419
— 223, 81
224, 65419, 53
62 861
4-5-7-449
19^50! —
—
—
62 869
4»3- x 3*i-3-5*
137,210 —
163,110
167, 91
62 873
8.29.271
37,248201,106
—
—
62 897
16.3931
239, 76237, 58
—
—
62 903
2.7.4493
—
—
62 921
8.5-121.13
85,236243, 44
—
—
62 927
2-73-43 1
— —
—
—
62 929
16.9.19.23
73,240199,108
239, 44
37i, 65
62 939
2.31469
— ! 99,163
—
—
62 969
8.17.463
235, 88249, 22
—
—
62 971
2.3.5.2099
— ! 67,171
148,117
296, 78
62 981
4.5.47.67
241, 70 s —
—
—
62 983
2.9.3499
— —
226, 63452, 4
62 987
2. 7. 11. 409
— H7,i57
—
—
62 989
4.3-29-181
I95>*58
191, 94
9h 95
63 029
4.7.2251
23,25c
—
—
—
QUADRATIC PARTITIONS.
159
p
p-1
a b
c d
A B
L M
63 031
2.3.5.11.191
—
—
82,137329, 73
63 059
2.41.769
— 249, 23
—
—
63 067
2-3- 2 3-457
— 245, 39
100,133499, 11
63 073
32.27.73
183,172251, 6
i75, 1 °4 I 37, 93
63 079
2.3 io 5 t 3
2,i45433, 49
63 097
8.3.11.239
171,184:103,162
245, 32 341, 7i
63 103
2.3.13.809
— —
206, 83455, 41
63 113
8.343- 2 3
203,148195,112
—
63 127
2.27.7.167
—
—
242, 39
484, 26
63 131
2.5.59.107
—
237, 59
—
—
63149
4-I5787
125,218
—
—
63 179
2.31. 1019
—
123,155
—
—
63 197
4.7.37.61
251, J 4
—
—
-
63 199
2.9.3511
—
—
166,109
493, 19
63 211
2.3.5.49.43
—
173,129
244, 35
139, 93
63 241
8-3-5-I7-3I
221,120
i93,n4
229, 60
458, 40
63 247
2.3.83.127
—
—
170,107
49T, 21
63 277
4-3-5273
189,166
—
97,i34
305, 77
63 281
16.5.7. 113
209,140
243, 46
—
—
63 299
2.31649
—
201,107
—
—
63 311
2 5-J3-487
—
—
—
—
63 313
16.3.1319
247, 48
121,1561119,128
503, 3
63 317
4.11.1439
199^54
— —
—
63 331
2.3.5.2111
—
113,159! 16,145
45 1 , 43
63 337
83.7.13.29
219,124
83,168^35, 52
39 1 , 6l
63 347
2. 19. 1667
—
87,167
—
—
63 353
8.7919
43,248
249, 26
—
—
63 361
128.9.5. 11
231,100
53^74247, 28
33i, 73
63 367
2-3-59 J 79
—
— I250, 17
199, 89
63 377
16.17.233
191,164
3,178,
—
63 389
4-I3-23-53
245> 58
— —
—
63 391
2.3-5-2113
—
— i54,i?3
499, 13
63 397
4.27.587
111,226
— 203, 86
461, 39
63 409
16.3.1321
153,200
169,132 89,136
3i9, 75
63 419
2-37-857
—
213, 95 —
—
63 421
4-3-5-7-I5 1
139,210
— 137,122
5°3, 5
63 439
2.3.97.109
—
74,i39
343, 7i
63 443
2.31721
—
231, 7i
—
—
63 463
2.3.7. 1511
—
46,143
3 8 3, 63
63 467
2. 13.2441
—
243, 47
—
—
160
QUADRATIC PARTITIONS.
p
p-l
a be d
A B 1 L M
63 473
16.3967
217,128
39,5 76
63 487
2-9-3527
—
62,141 124, 94
63 493
4-3 II - I 3-37
193,162 245, 34143* 93
63 499
2.3.19.557
—
29,177236, 51472, 34
63 521
3 2 -5-397
239, 80
III,l6o
— —
63 527
2. 23.1381
—
63 533
4.7.2269
83,238
— —
63 541
4-9-5-353
55^46,
221, 70 11, 97
63 559
2. 27. 11. 107
— —
22,145457, 4i
63 577
8.9.883
2 5 T > 2 4 55ri74
37,144; 74, 96
63 587
2.3 J 793
— 177,127
— —
63 589
4-3-7-757
33^5°! —
251, 14293, 79
63 599
2.31799
— —
— —
63 601
16.3. 25-53
249, 40247, 36
223, 68 19, 97
63 607
2.3.10601
— —
242, 41365, 67
63 611
2.5.6361
— 237, 61
— —
63 617
1 2 8. 7. 7 1
89,236117,158
— —
63 629
4.15907
227 T IIO
— —
63 647
2. 121. 263
— —
63 649
32.9.13.17
2i5> I 3225i, 18
143,120286, 80
63 659
2-7-4547
—
147,145
—
63 667 2.243. 131
—
143^47
212, 79
25, 97
63 671! 2.5.6367
—
—
—
63 689 8.19.419
235r 92
141,148
—
—
63 691
2.3.5. 11. 193
229, 75
248, 27496, 18
63 697 16.3.1327
159,196
227, 78
233t 5 6 j4oi, 59
63 703!2. 9 .3539
—
—
86,137
497, 17
63 709 4.3-5309
203,150
—
247, 3°
494, 20
63 719 2.31859
—
—
—
63727,2.3.13.19.43
—
182,101
485, 27
63 7371 8.31.257
l8l,I76l53,I42
—
—
63 743 2.7.29.157
—
—
63 761
16.5.797
65,244! 93,l66
—
—
63 773
4.107. 149
*97>I58 —
—
—
63 781 4.3-5- *°6 3
95,234
187, 98
107, 95
63 793 16.9.443
17,252
179,126
121,128
263, 83
63 799 2.3.343.31
—
146,119
5°3, 9
63 803
2.19.23.73
219, 89
—
—
63 809
64.997
185,172
21,178
—
—
63 823
2.3.11.967
—
250, 21
500, 14
QUADRATIC PARTITIONS.
161
p
p-1
a be d
A B
L M
63 839
2-59-54 1
—
—
—
63 841
32-3-5-7-I9
79,240
223, 84
71,140
49 1 , 23
63 853
±$-i7-$*3
157,198
—
209, 82
37, 97
63 857
16.13.307
241, 76
237, 62
—
—
63 863
2.37.863
—
—
—
—
63 901
4.9.25.71
251, 3°
—
199, 90
398, 60
63 907
2.3.10651
—
i75, I2 9
160,113
179, 9i
63 913
8.3.2663
237, 88
241, 54
245, 3 6
490, 24
63 929
8.61. 131
205,148
69,172
—
—
63 949
4.3-73-73
243, 7o
—
1,146
437, 49
63 977
8.11.727
91,236
45^76
—
—
63 997
4.3.5333
59,246
—
7,!4o
43i, 5 1
64 007
2.32003
—
—
—
—
64 013
4.13.1231
253, 2
—
—
—
64 019
2.32009
23 1 , 73
—
—
64 033
32.3.23.29
23,252
59,i74
239, 48
478, 32
64 037
4.7.2287
191,166
—
—
—
64 063
2-9-3559
—
—
230, 61
47, 97
64 067
2.103.311
—
207,103
—
—
64 081
16.9.5.89
225,116
253, 6
247, 32
151, 93
64 091
2.5.13.17.29
—
3,179
—
—
64109
4.11.31.47
253, 10
—
—
—
64123
2.3.10687
—
211, 99
236, 53
395, 61
64151
2.25.1283
—
—
—
—
64153
8.729.11
253, 12
251, 24
109,132
218, 88
64157
4-43-373
251, 34
—
—
—
64171
2.9.5.23.31
—
253, 9
152,117
3°4, 78
64187
2.67.479
—
213, 97
—
—
64189
4.9.1783
75,242
—
167,110
497, 19
64 217
8.23.349
221,124
165,136
—
—
64 223
2.163.197
—
—
—
—
64 231
2.3.5.2141
—
—
34,i45
469, 37
64 237
4-3-53.IOI
61,246
—
17,146
455, 43
64 271
2.5.6427
—
—
—
—
64 279
2-9-3571
—
—
98,135
196, 90
64 283
2.32141
—
141,149
—
—
64 301
4.25.643
115,226
—
—
—
64 303
2-3-7-I53 1
—
—
106,133
5o5, 9
64 319
2.32159
—
—
—
—
64 327
2.3.71. 151
—
—
190, 97
481, 31
162
QUADRATIC PARTITIONS.
,-i
a b
o d A B L M
64833 4.9-1787
64 373 4.7. 121. 19
64381 4-3-5- 2 9-37
64 399 2.3.10733
64 403 2.13.2477
64 433 16.4027
64 439 2.1 1.29.101
64 451 2.25.1289
64 453 4.3.41. 131
64483 2. 3. 11. 977
64 489 8.3.2687
64 499 2.7. 17. 271
64 513 1024.9.7
64 553 8.8069
64 567 2. 9.17. 211
64 577 : 64.1009
64 579 2.3.47.229
64 591 2.3.5.2153
64 601 8.25.17.19
64 609| 32.3.673
64 613; 4.29.557
64 621 -4.9-5.3S9
hi 6:27 2.3.10771
64 633 8.3. 269 ^
64 661) 4.5.53.61
64 663 2.3.13.829
64 667J 2.7.31. 149
64 679 2.73.443
64 603 4.27.599
64 709 4.7.231 1
253. 18
247, 58
245, 66
175,106493, 23
233, 58 59, 97
218, 75 436, 5°
225, 83
103,232 135,152
249, 35
185,123
177,182
83,240
209,102
57,i75
217,1321181,126
187,172; 51,176
71,244213, 98
— 241, 57
251, 22
185, 91
56,143485, 29
179,104491, 25
95,!363i3, 77
251, 40
J247, 60
223,122
189,170
237, 92
169,190
233,102
47,250
221,126
64 717 4.3.5393
64 747 2. 27. 11. 109 J
64 763 2.32381
64 7S1 4.5.41.79 109,2^0
64 783 2.9.59.61
64 793 8.7.13.89
64 811 2.5.6481
64 817: 16.4051
64 849 10.3.7. 193
64 853! 4.31.523
253,
2 8
121,
2 24
I05,
232
247,
62
201,110
229, 78
193,117
245, 48
243, 53
235, 69
165,137
75, J 72
27,179
105,164
7,180
202, 89
244, 41
65, 97
121, 95
254, 5269, 83
49,144
98, 96
239, 50389, 63
212, 81424, 54
235, S 6 67, 97
254, 7 233, 87
211, 82
65,142
457, 43
361, 69
188, 99376, 66
[7308, 78
209, 84
418, 56
QUADRATIC PARTITIONS.
163
p
P -l
a b
c d
A B
L M
64 871
2.5.13.499
—
—
—
—
64 877
4-49-331
19,254
—
—
—
64 879
2.3.11.983
—
254, 11
287, 81
64 891
2.9.5.7.103
—
253, 21
8,147
16, 98
64 901
4.25.11.59
49,250
—
—
64 919
2.7.4637
—
—
—
64 921
8.3-5-541
195,164
II,l8o
173,108
346, 72
64 927
2.9.3607
—
10,147
20, 98
64 937
8.8117
251, 44
I95,Il6
—
—
64 951
2-3-25-433
—
182,103
127, 95
64 969
8.3.2707
213,140
I3,l8o
187,100
487, 29
64 997
4.16249
209,146
—
—
65 003
2.7.4643
—
l89,I2I
—
—
65 Oil
2.3.5.11.197
—
169,135
44,i45
39i, 63
65 027
2. 13. 41. 61
—
255, I
—
—
65 029
4-3-5419
255, 2
251, 26
329, 75
65 033
8.11.739
253, 32
255, 2
—
—
65 053
4-9- J 3-i39
197,162
89,138
178, 92
65 063
232531
—
—
—
65 071
2.27.5.241
—
238, 53
79, 97
65 089
64.9. 1 13
255, 8
17,180
233, 60
466, 40
65 099
2. 121. 269
—
243, 55
—
—
65101
4-3-25.7-3I
51,250
—
143,122
5°9, 7
65 111
2-5- I 7-383
—
—
—
65 119
2.3.10853
—
—
74,141
148, 94
65 123
2.32561
—
255, 7
—
—
65129
8.7.1163
205,152
177,130
—
—
65 141
4.5-3257
25,254
—
—
—
65147
2.32573
—
237, 67
—
—
65 167
2.3.10861
—
—
110,133
289, 81
65 171
2-5-343- I 9
—
33,179
—
—
65 173
4-3-5431
183,178
—
35,i46
473, 37
65 179
2. 27. 17. 71
—
*$h 33
248, 35
353, 7i
65 183
2. 13. 23.109
—
—
—
—
65 203
2.3.10867
—
121,159
164,113
503, i7
65 213
4-7- I 7-i37
133,218
—
—
—
65 239
2.3.83.131
—
—
146,121
217, 89
65 257
8.3.2719
211,144
113,162
205, 88
469, 39
65 267
2.32633
—
255, *i
—
—
65 269
4.9-49-37
215,138
221, 74
443, 49
164
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B
L M
65 287
2. 8i. 13.31
—
—
130,127
5«i «
65 293
4-3-5441
93,238
191, 98
485, 31
65 309
4.29.563
53,250
—
—
65 323
2. 9.19. 191
—
179,129
176,107
497, 23
65 327
2.89.367
—
—
—
—
65 353
8.3-7-389
43,252
205,108
251, 28
167, 93
65 357
4-16339
29,254
—
—
—
65 371
2.3.5.2179
—
83,171
136,125
239, 87
65 381
4.5.7.467
191,170
—
—
—
65 393
16.61.67
143,212
45,178
—
—
65 407
2.3.11.991
—
—
118,131
275, 83
65 413
4.9.23.79
127,222
—
9M38
182, 92
65 419
2.3.10903
—
149,147
76,141
152, 94
65 423
2.7.4673
—
—
—
—
65 437
4.3.7.19.41
229,114
—
185,102
37o, 68
65 447
2.43.761
—
—
—
—
65 449
8.81. 101
243, 80
143**5°
139,124
5". 5
65 479
2-3-7-1559
—
—
214, 81
428, 54
65 497
8.3.2729
99,236
i55, J 44
"5>*3 a
230, 88
65 519
2.17. 41.47
—
—
—
—
65 521
16.9.5. 7.13
89,240
217, 96
167,112
169, 93
65 537
256.256
1,256
255, l6
—
—
65 539
2.9.11.331
—
233, 75
256, 1
259, 85
65 543
2.32771
—
—
—
—
65 551
2.3.25.19.23
—
—
142,123
284, 82
65 557
4.27.607
71,246
—
163,114
326, 76
65 563
2.3.49.223
—
229, 81
256, 3
512, 2
65 579
2.32789
—
99,167
—
—
65 581
4.3-5-I093
195,166
— |24i, 5°
9*i 97
65 587
2.3.17.643
—
I37ii53 *5*»"9
509, 11
65 599
2.3.13.29.29
—
— 254, 19
197, 91
65 609
8.59-I39
253, 40
159,142
—
—
65 617
16.3.1367
9,256
247, 48
175,108
35o, 72
65 629
4.9.1823
235,102
—
41,146
479, 35
65 633
32.7.293
247, 68
219, 94
—
—
65 647
2.9.7.521
—
—
202, 91
475, 37
65 651
2.25.13.101
—
«77» I 3 I
—
—
65 657
8.29.283
11,256
i35,i54
—
—
65 677
4.3.13.421
141,214
—
I45,T22
221, 89
65 687
2.32843
—
—
QUADRATIC PARTITIONS.
165
p
p-1
a b
c d
A B
L M
65 699
2.107.307
—
249. 43
—
—
65 701
4-9- 2 5-73
255> 26
—
251, 3°
502, 20
65 707
2. 3-47-233
—
85,171
88,139
5o5, i7
65 713
i6.3-37-37
47.252
115,162
1,148
445, 49
65 717
4-7-2347
121,226
—
—
—
65 719
2.27. 1217
—
—
238, 55
403, 61
65 729
64.13.79
65,248
81,172
—
—
65 731
2-3-5-7-3I3
—
209,105
232, 63
464, 42
65 761
3 2 -3-5- I 37
15*256
31,180
7,i48
45*i 47
65 777
16.4111
79,244
243, 58
—
—
65 789
4.16447
85,242
—
—
—
65 809
16.9.457
255. 28
253, 3o
247, 40
367, 69
65 827
2.27-23-53
—
215, 99
148,121
5". 9
65 831
2.5.29.227
—
—
—
—
65 837
4.109.151
211,146
—
—
—
65 839
2.3.10973
—
—
254, 21
508, 14
65 843
2.7.4703
—
*$h 79
—
—
65 851
2.3.25.439
—
203,111
32,147
64, 98
65 867
2.32933
165,139
—
—
65 881
8.27.5.61
91,240
73^74
13,148
457, 45
65 899
2.9-7-523
107,165
256, 11
223, 89
65 921
128.5. 103
161,200
63,176
—
—
65 927
2.7.17.277
—
—
—
—
65 929
8.3.41.67
227,120
223, 90
61,144
122, 96
65 951
2.25.1319
—
—
—
—
65 957
4.11.1499
239. 94
—
—
—
65 963
2.13-43-59
— | 21,181
—
—
65 981
4-5-3299
59,250
—
—
65 983J2. 3 . 7 .i57i
—
—
34,H7
68, 98
65 993 8. 73. 1 13
67,248
255, 22
—
—
66 029 4. 17.97 1
173,190
—
—
—
66 037
4-3-55°3
39,254
—
253, 26
175, 93
66 041
8.5.13.127
235> io 4
153^46
—
—
66 047
2.33023
—
—
—
—
66 067
2.3.7. 121. 13
—
257, 3
248, 39
496, 26
66 071
2.5.6607
—
—
—
—
66 083
2.19.37.47
—
255, 23
—
—
66 089
8.11.751
133,220
141,152
—
—
66103
2.3.23.479
—
—
254, 23
323, 77
66107
2-33°53
—
45^79
—
—
166
QUADRATIC PARTITIONS.
p
p — 1 a b
c d
A B
L M
66 109
4.3.7.787
245, 78
—
199, 94
481, 35
66 137
8.7.1181
251, 56
105,166
—
66 161
16.5827
25.256
231, 80
—
—
66 169
8.9.-919
237,100
37>i8o
221, 76
7, 99
66173
4.7I.233
203,158
—
—
66179
2.7.29.163
—
I 59 > 1 43
—
—
66 191
2.5.6619
—
—
—
—
66 221
4.5.7.II.43
61,250
—
—
—
66 239
2.33119
—
—
—
—
66 271
2.3.5.47.47
—
—
38,147
76, 98
66 293
4.16573
137,218
—
—
—
66 301
4.3.25.13.17
149,210
—
247, 42
494, 28
66 337
32.3.691
239, 96
257, J 2
25,148
469, 4i
66 343
2.3.11057
—
134,127
247, 87
66 347
2.49.677
—
i95> IX 9
—
—
66 359
2-33*79
—
—
—
—
66 361
8.3.5.7.79
205,156
133^56
253, 28
337, 75
66 373
4-3-553 1
257> 18
—
245, 46
107, 97
66 377
8.8297
29,256
255> 26
—
—
66 383
2.33191
—
—
—
—
66 403
2.9.7.17. 31
—
89,171
256, 17
205, 91
66 413
4.16603
227,122
—
—
—
66 431
2.5.7.13.73
—
—
—
—
66 449
16.4153
257, 20
93,170
—
—
66 457
8.9-13.71
219,136
233, 78
197, 96
394, 64
66 463
2.3.11. 19.53
—
—
214, 83
35, 99
66 467
2. 167. 199
—
225, 89
—
—
66 491
2.5.61. 109
—
243, 61
—
—
66 499
2.3.11083
—
257, 15
232, 65 37, 99
66 509
413.1279
253,50
—
—
66 523
2.3.11087
245, 57
^16,133
283, 83
66 529
32.27.7. 11 J 55,252
251, 42
239, 56
407, 61
66 533
4.16633 (257, 22
—
—
—
66 541
4.3-5- iio 9 45, 2 54J
97,138194, 92
66 553
8.3-47.59 ;I47>2I2,229, 84
29,148415, 59
66 569
8-53- J 57 163,200129,158
— —
66 571
2.3-5-7.3 I 7 —
211,105
164,115181, 93
66 587
2.13.13.197 1 —
213,103
— —
66 593
32.2081 113,232255, 28
—
66 601
8.9.25.37
251, 60
253, 36
203, 92
479, 37
QUADRATIC PARTITIONS.
167
P
p-1
a a b
L M
66 617
66 629
66 643
66 653
66 683
66 697
66 701
66 713
66 721
66 733
66 739
66 749
66 751
66 763
66 79l|
66 797;
66 809!
66 8211
66 841
66 851 1
66 853
66 863!
66 877i
66 883!
66 889
66 919
66 923
66 931
66 943
66 947
66 949
66 959
66 973
66 977
67 003
67 021
67 033
67 043
67 049
67 057
8.II.757
181,184
57,i78
4.16657
223,130
—
2. 3-29.383
—
239, 69
4.19.877
187,178
—
2-7 n-433
—
5 I , I 79
837.397
189,176
257, 18
4.25.23.29
125,226
—
8.31.269
253. 52
69,176
323-5- 1 39
105,236
187,126
4.3.67.83
13,258
—
2.3.49.227
191,123
4.11. 37.41
245, 82
—
2.3.125.89
—
—
2.9.3709
—
91,171
2.5.6679
—
—
4.16699
221,134
—
8.7.1193
203,160
231, 82
4-5- I 3-257
145,214
—
8-3-5-557
229,120
247, 54
2. 25. 7. 191
—
201,115
4.27.619
17,258
—
2.101.331
—
—
4-3-5573
171,194
—
2-3-7 I - I 57
—
65,177
8.9.929
235,108
179,132
2.3.19.587
—
—
2.33461
—
99,169
2.3.5-23-97
—
257, 21
2.9.3719
—
—
2. 11. 17. 179
—
255, 3i
4-3-7-797
257, 30
—
2-33479
—
—
4.3.558i
133,222
—
32-7- I 3-23
169,196
27,182
2 -3- I 3-859
—
5,183
4-3-5- III 7
211,150
—
8.9.49.19
197,168
215,102
2.33521
—
39, J 8i
8.17. 17. 29
115,232
207,110
16. 3. 11. 127
39,256
103,168
196, 97487, 33
67,i44i34, 96
89,140509, 17
79,i42 5 5, 21
244, 49 39 1 , 65
202, 93404, 62
44,147 88, 98
133,128251, 87
149,122515, 9
167,114334, 76
136,127517, 3
251, 36502, 24
62,145 373, 69
184,105368, 70
46,147 92, 98
139,126
55,^6
20,149
257, 18
179,108
223, 76
278, 84
383, 67
467, 43
5*4, 12
358, 72
45*i 49
168
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
67 061
4-5-7-479
119,230
—
—
—
67 073
512.131
257. 32
255. 32
—
—
67 079
2. 11. 3049
—
—
—
—
67 103;
2-7-4793
—
—
—
—
67 1211
16.5.839
239,100
237. 74
—
—
67 129)
8.3.2797
75.248
121,162
259. 4
271. 85
67 139
2-335 6 9
—
23 1 . 83
—
—
67 141
4-9-5-373
255i 46
—
229, 70
439.' 53
67 153
16.3.1399
223,132
259. 6
145,124
$*y 7
67 157
4. 103. 1 63
199,166
—
—
—
67 169
32.2099
137,220
219, 98
—
—
67181
4-5-3359
259, 10
—
—
—
67187
2.7.4799
—
225, 91
—
—
67 189
4.3.11.509
25.258
—
259. 6
518, 4
67 211
2.5.11.13.47
—
I47.J5 1
—
—
67 213
4.9.1867
93,242
—
239. 58
65. 99
67 217
16.4201
41,256
153^48
—
—
67 219
2.3.17.659
—
H3> l6 5
112,135
224, 90
67 231
2.81.5.83
—
—
166,115
51*1 x 7
67 247
2.33623
—
—
—
—
67 261
4-3-5- 1 9-59
69,250
—
217, 82
463, 45
67 271
2-5-7-3 I -3 I
—
—
—
—
67 273
8.3.2803
213,148
221, 96
259. 8
235. 89
67 289
8.13.647
155,208
183,13°
—
—
67 307
2.73.461
—
195,121
—
—
67 339
2.27.29.43
—
19.183
244. 5 1
488, 34
67 343
2. 11. 3061
—
—
—
—
67 349
4.113.149
185,182
—
—
—
67 369
8.3.7.401
187,180
259, 12
109,136
5 J 7. 9
67 391
2.5-23-293
—
—
—
—
67 399
2.3-47-239
—
—
254. 31
161, 95
67 409
16.11.383
247, 80
249. 52
—
—
67 411
2.9.5.7.107
—
233. 81
256, 25
33i. 77
67 421
4-5-3371
245, 86
—
—
—
67 427
2.33713
—
87.173
—
—
67 429
4.9.1873
177,190
59.!4°
497. 29
67 433
8.8429
77,248
111,166
—
67 447
2.27.1249
—
—
158,119
5i5. 13
67 453
4.3-7-II-73
203,162
—
151,122
215. 9i
67 477
4-3-5 62 3
249, 74
253, 34
355. 73
QUADRATIC PARTITIONS.
169
p
P -\
a b
c d
A B
L M
67 481
8.5.7.241
259, 20
117,164
_
—
67 489 32.3.I9-37
i75, x 92
239, 72
241, 56
73, 99
67 493| 4-47-359
257, 38
—
—
—
67 499 2.33749
—
243, 65
—
—
67 511
2.5-43-I57
—
—
—
—
67 523
2-49-I3-53
—
i35,!57
—
—
67 531
2.3.5.2251
—
259, *5
52,i47
104, 98
67 537
16.9.7.67
161,204
253, 42
73,i44
146, 96
67 547
2.33773
—
45, lSl
—
—
67 559
2. 17. 1987
—
—
—
—
67 567
2.3.11261
—
—
98,139
3i9, 79
67 577
8.8447
109,236
75,i76
—
—
67 579
2.3.7.1609
—
229, 87
248, 45
496, 30
67 589
4.61.277
95,242
—
—
—
67 601
16.25.13.13
1,260
99,170
—
—
67 607
2.7.11.439
—
—
—
—
67 619
2.33809
— 249, 53
—
—
67 631
2.5.6763
—
—
—
67 651
2. 3.25. 11. 41
—
167,141 212, 87
424, 58
67 679
2.13.19.137
—
— —
—
67 699
2.9.3761
—
7i,i77 68,145
367, 7i
67 709
4.16927
197,170
—
67 723
2.3.11287
— 131,159256, 27
512, 18
67 733
4.7.41.59
247, 82 —
—
67 741
4.3.5.1129
85,246
103,138
206, 92
67 751
2. 125. 271
—
—
67 757
4.i3- I 3°3
259, 26
— —
—
67 759
2.3.23.491
—
— 34,i49
4i3, 61
67 763
2.17.1993
— 255, 37
—
67 777
64.3-353
249, 76; 85,174
257, 24
5Mi 16
67 783
2.3.11. 13.79
— —
254, 33
508, 22
67 789
4.9.7.269
35,258
17,150
34,100
67 801
8.3.25.113
101,240
i5 I » I 5°
251, 40
I3 1 , 97
67 807
2.9.3767
—
—
238, 61
421, 59
67 819
2.3.89.127
—
29,183
196, 99
392, 66
67 829
4-31-547
73,25o
—
—
—
67 843
2.9.3769
—
i45,!53
260, 9
520, 6
67 853
4.16963
253, 62
—
—
—
67 867
2.3.11311
—
i57,i47
128,131
521, 1
67 883
2.33941
—
I7M39
—
—
170
QUADRATIC PARTITIONS.
p
j,-l
a b
c d
A B
L M
67 891
2-3-5-3I-73
97,i7i
172,113
167, 95
67 901
4.25.7.97
251, 70
—
—
—
67 927
2.3.11321
—
—
190,103
499, 29
67 931
2.5-6793
—
141,155
—
—
67 933
4.27.17.37
37,258
—
185,106
133, 97
67 939
2.3.13.13.67
—
31,183
176, 1 11
352, 74
67 943
2. 7. 23. 211
—
— —
—
67 957
4.3.7.809
201,166
— 227, 74
449, 5 1
67 961
8.5.1699
19,260
219,100 —
67 967
2.17.1999
—
— —
—
67 979
2.41.829
—
189,127 —
—
67 987
2.27.1259
—
73, I 77l I 4o,i27
241, 89
67 993
8.3.2833
67,252
139,156229, 72
458, 48
68 023
2.9.3779
—
— 230, 71
443, 53
68 041
8.243.5.7
21,260163,144221, 80
461, 47
68 053
4.3.53-io7
137,222 259, 18
518, 12
68 059
2.9.19.199
—
253, 45 256, 29
169, 95
68 071
2.3.5.2269
—
— 1 82,143
347, 75
68 087 2.59.577
—
— —
—
68 099 2.79.431
—
111,167 —
—
68111
2.5.49.139
—
— —
—
68113
16.9.11.43
127,228
125,162 49,148493, 33
68 141
4.5-3407
179,190
— i — —
68147
2. 13. 2621
—
105,169 —
68161
64.3.571
255, 56
223, 96233, 68437, 55
68171
2.5. 17.401
—
261, 5
— —
68 207
2.67.509
—
—
— —
68 209
16.3.49.29
103,240
247, 60
97,140323, 79
68 213
4-17053
233> II 8
—
—
—
68 219
2.23.1483
261, 7
—
—
68 227
2.3.83.137
—
257, 33
200, 97 91, 99
68 239
2.9.17.223
—
—
194,101497, 31
68 261
4.5.34I3
175^94
—
— —
68 279
2.7.4877
—
—
— —
68 281
8.3.5569
141,220
59,180
259, 20199, 93
68 311
2. 27. 5. 11. 23
—
—
242, 57
484, 38
68 329
8.9-I3-73
27,260
109,168
149,124
223, 91
68 351
2.25.1367
—
—
—
—
68 371
2.3-5-43-53
—
239, 75
236, 65
43i, 57
68 389
4.3-4I.I39
255, 58
—
i33,*3°
523, 1
QUADRATIC PARTITIONS.
171
p
p-\
a b
c d
A B
L M
68 399 1
2. II. 3IO9
—
—
—
—
68 437
4.9.I9OI
89,246
—
67,146
37i, 7i
68 443
2. 3. 11. 17. 6l
—
221, 99
124,133
523, 3
68 447
2.7.4889
—
—
—
68 449
32.3.23.3I
207,160
241, 72
79,!44
158, 96
68 473
8.27.317
213,152!
89,174
139,128
245, 89
68 477
4-I7-I9-53
251, 74
—
—
—
68 483
2.97.353
—
129,161
—
—
68 489,
8.7.1223
245> 92
189,128
—
—
68 491
2.9.5.761
—
179,135
152,123
304, 82
68 501
4.125-137
199,170
—
—
—
68 507
2.34253
—
93,173
—
—
68 521
8.3.5.57I
261, 20
61,180
53,148
39i, 67
68 531
2.5. 7. 11. 89
—
9,185
—
—
68 539
2.3.11423
—
259, 27
44,149
49i, 35
68 543
243.797
—
—
—
—
68 567
2.34283
—
—
—
—
68 581
4.27.5.127
225,134
—
107,138
214, 92
68 597
4-II.I5S9
15^214
—
—
—
68 611
2.3.5.2287
—
119,165
244, 55
409, 63
68 633
8.23.373
253, 68
261, 16
—
—
68 639
2.34319
—
—
—
—
68 659
2.3.11443
—
41,183
16,151
469, 45
68 669
4.17167
5,262
—
—
—
68 683
2.3. 1 1447
—
101,171
260, 19
203, 93
68 687
2.61.563
—
—
—
—
68 699
2.49.701
—
261, 17
—
—
68 711
2.5.6871
— ■
—
—
—
68 713
8.3.7.409
237,112
175^38
ns,^
523, 7
68 729
8.121.71
85,248
249, 58
—
—
68 737
128.3.179
231,124
245, 66
55,H8
499, 3 1
68 743
2.27.19.67
—
—
86,143
5J5, 19
68 749
4.3.I7.337
157,210
—
257, 3°
514, 20
68 767
2-3-73-I57
—
—
182,109
145, 97
68 771
2.5.13.23.23
57,i8i
—
—
68 777
8.8597
251, 76
195,124
—
—
68 791
2.3.5.2293
—
—
262, 7
283, 85
68 813
4.17203
13,262
—
—
—
68 819
2.19.1811
—
87,175
—
—
68 821
4.3.5.3L37
185,186
211, 90
422, 60
172
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
68 863
2.3-23-499
—
—
226, 77
5» IQI
68 879
2-34439
—
—
—
—
68 881
16.3:5.7.41
191,180
259* 3°
241, 60
482, 40
68 891
2.5-83-83
—
21,185
—
—
68 897
32.2153
241,104
255> 44
—
—
68 899
2.3.11483
—
79>i77
224, 79
13,101
68 903
2-47-733
—
—
—
68 909
4.7.23.107
253> 7o
—
—
68 917
4-3-5743
* I 9> 2 34 —
173,114346, 76
68 927
2. 11. 13. 241
68 947
2.3.11491
—
247. 63
232, 71 19,101
68 963
2.29.29.41
—
249> 59
— —
68 993
1 28.49. 1 1
217,148; 75,178
— —
69 001
8.3.125.23
i95 ) I 76i93 ) I2 6
101,140521, 13
69 011
2.5.67.103
— I 53 > i5 I
— —
69 019
2.3.11503
— |i49,i53
196,101 107, 99
69 029
4.17257
127,230
— —
69 031
2.9-5-!3-59
—
—
202, 97 493, 35
69 061
4.3.5- II 5 1
81,250
—
181,110
i49, 97
69 067
2.27.1279
—
197,123
220, 83
29,101
69 073
16.3.1439
87,248
185,132
209, 92
485, 39
69109
4.3.13.443
247, 90
—
259, 26
181, 95
69119
2-7-4937
—
—
—
—
69 127
2. 3. 41. 281
—
—
250, 47
109, 99
69 143
2. 181. 191
—
—
—
—
69149
4-59-293
235, IlS
—
—
—
69151
2.3.25.461
—
—
262, 13
3 QI , 83
69 163
2.3.11527
—
211,111
236, 67
35, IQ i
69 191
2. 5. 11. 17. 37
—
—
—
—
69193
8.9.31. 31
253> 72
1,186 59,148
385, 69
69197
4.17299
259, 46
1
—
69 203
2-7-4943
—
231, 89
—
69 221
4.5-346i
239,110
—
—
—
69 233
16.4327
263, 8
39*184
—
—
69 239
2.13.2663
—
—
—
—
69 247
2.9.3847
■ —
—
98,141
196, 94
69 257
8.11.787
61,256
255> 46
—
—
69 259
2.3.7.17.97
—
259, 33^72,115
5 J 7, i9
69 263
2.34631
—
—
—
69 313
64.3.19.19
263, 12
11,186
1,152
455, 5 1
QUADRATIC PARTITIONS.
173
p p-1
a b
c d
A B
L M
69 317
4-I3-3M3
241,106
—
—
69 337
8.81.107
99,244
235, 84
5,152
461, 49
69 341
4-5-3467
229,130
—
—
69 371
2.5.7.991
—
261, 25
—
—
69 379
2-3.3!-373
—
49,^3
164,119
521, 15
69 383
2. 113.307
—
—
—
—
69 389
4. 1 1. 19.83
83,250
—
—
69 401
8.25.347
251, 80
183,134
—
—
69 403
2.3.43.269
—
205,117
200, 99
400, 66
69 427
2.9.7.19.29
—
233, 87
32,151
421, 61
69 431
2 -5-53- I 3i
—
—
—
—
69 439
2.3.71. 163
—
—
134,131
527, 1
69 457
16.3.1447
151,216
263, 12
215, 88
49,101
69 463
2.9.17.227
—
—
194,103
115, 99
69 467
2 -47-739
—
117,167
—
—
69 473
32.13.167
247, 92
261, 26
—
—
69 481
8.9.5.193
109,240
17,186
13,152
443, 55
69 491
2.5.6949
—
63,181
—
—
69 493
4-3-5791
263, 18
—
125,134
527, 3
69 497
8.7.17.73
139,224
57,i82
—
—
69 499
2.243.11.13
—
251, 57
184,109
5ii, 25
69 539
2.7.4967
—
33,i85
—
—
69 557
4.17389
71,254
—
—
—
69 593
8.8699
157,212
219,104
—
—
69 623
2-7-4973
—
—
—
—
69 653
4.11.1583
263, 22
—
—
—
69 661
4.81.5.43
165,206
167,118
187, 95
69 677
4.17419
179,194
—
69 691
2. 3.5. 23.101
—
i73, x 4i
188,107
5°9, 27
69 697
64.9.121
1,264
i45, x 5 6
193,104
119, 99
69 709
4-3-37-157
195,178
—
47,15°
94,100
69 737
8.23.379
101,244
45,^4
—
—
69 739
2-3-59-197
—
229, 93
56,149
5°3, 3i
69 761
128.5. 109
65,256
207,116
—
—
69 763
2.3.7.11.151
—
191,129
116,137
527, 7
69 767
2.34883
—
—
—
—
69 779
2. 139.251
—
129,163
—
■ —
69 809
16.4363
47,260
141,158
—
—
69 821
4.5.3491
155,214
—
—
—
69 827
2-349 r 3
—
255, 49
—
—
174
QUADRATIC PARTITIONS.
p-1
A B
L M
69 829
69 833
69 847
69 857
69 859
69 877
69 899
69 911
69 929
69 931
69 941
69 959
69 991
69 997
70 001
70 003
70 009
70 019
70 039
70 051
70 061
70 067
70 079
70 099
70111
70117
70121
70 123
70139
70141
70157
70163
70177
70181
70183
70199
70 201
70 207
70 223
70 229
4.3.11. 23.23
8.7.29.43
2.3.7.1663
3 2 -37-59
2.9.3881
4.27.647
2.34949
2.5.6991
8.8741
2.27.5-7-37
175,198 — 149,1261298, 84
63,208225, 98 —
— I 38,151415. 6 3
165,146
199,123
119,236
199,174
4.5.13.269
2.7.19.263
2.3-5-2333
4-3- I 9-3°7
16.625.7
2.9.3889
8.3.2917
2.13.2693
2.27.1297
2.3.25.467
4-53I-H3
2.53.661
2-37-947
2.3.7.1669
2.9.5. 19.41
4-3-5843
8-5-1753
2.3.13.29.31
2.35069
4-3-5-7-!67
4.17539
2.35081
32.3-!7-43
4.5. 121. 29
2.9-7-557
2-35°99
8.27.25.13
2.3.11701
2.35m
4.97. 181
173,200
215^54
259, 54
49,260
147,220
131,230
239,114
211,160
93^75
81,178
107,171
243> 74
55» l8 3
203,120
9,187
263, 21
135. 161
257, 45
111,170
259> 39
I7M43
224, 81
77ii46
248, 53
178,113
127,134
448, 54
515. 23
407> 6 5
161, 97
275. 87
40, 15 1 493. 37
221, 84
166,119
124,135
75.254
221,146
169,204
241,110
51,260
265, 2
1 5^87
133,162
442, 5 6
191. 95
248, 90
256, 39
238, 67
245. 58
260, 29
263, 18
145,128
94,H3
512, 26
439, 57
71,101
347. 77
526, 12
239. 9i
335, 79
251, 60
67,148
202, 99
5 11 , 2 7
404, 66
QUADRATIC PARTITIONS.
175
p
p-1
a b
c d
A B
L M
70 237
4.9.1951
261, 46
—
265, 2S259, 89
70 241
32-5-439
265, 4
123,166
70 249
8.3.2927
205,168
241, 78
107,140527, 11
70 271
2.5.7027
—
—
—
—
70 289
16. 23. 191
8,265
231, 92
—
—
70 297
8.3.29. 101
69,256
265, 6
173,116
521, 19
70 309
4.81. 7. 31
145,222
—
53, I 5°
106,100
70 313
8.11.17.47
187,188
5 I , I 84
—
70 321
16.3.5.293
25,264
263, 24
217, 88
481, 43
70 327
2.9.3907
—
—
10,153
20,102
70 351
2.3.25.7.67
—
—
158,123
316, 82
70 373
4.73.241
193,182
—
—
—
70 379
2. 7. 11.457
—
21,187
—
—
70 381
4.9.5.17.23
125,234
—
257, 38
37i, 73
70 393
8.3.7.419
83,252
245, 72
181,112
5*7, 23
70 423
2.3.121.97
—
—
i4,i53
28,102
70 429
4.3.5869
245,102
—
151,126
302, 84
70 439
2.41.859
—
—
—
—
70 451
2.25.1409
—
249, 65
—
—
70 457
8.8807
179,196
213,112
—
—
70 459
2.3-i J 743
—
59,183
104,141
208, 94
70 481
16.5.881
265, 16
183,136
—
—
70 487
2.13.2711
—
—
—
—
70 489
8.9.11.89
165,208
233, 9o
91,144
182, 96
70 501
4-3- I2 5-47
255, 74
—
251, 5°
401, 67
70 507
2.9.3917
—
253, 57
112,139
529, 9
70 529
128.19.29
95,2481177,1/1
—
—
70 537
8.3.2939
29,264
223,102
35,!5 2
49i, 39
70 549
4-3-5879
265, 18
—
259, 34
361, 75
70 571
2.5-7057
—
261, 35
—
—
70 573
4.3.5881
227,138
—
161,122
527, 13
70 583
2.35291
—
—
—
70 589
4.7.2521
133,230
—
—
70 607
2.43.821
—
—
—
—
70 619
2. 17. 31. 67
—
237, 85
—
—
70 621
4.3.5. 11. 107
261, 50
—
263, 22
i97, 95
70 627
2.3.79.149
—
263, 27
20,153
40,102
70 639
2.3.61. 193
—
—
214, 91
487, 41
70 657
1024.3.23
31,264
257, 48
265, 12
53o, 8
70 663
2.3.11777
—
—
206, 97
85,101
176
QUADRATIC PARTITIONS.
v-
A B
L M
70 667
70 687
70 709
70 717
70 729
70 753
70 769
70 783
70 793
70 823
70 841
70 843
70 849
70 853
70 867
70 877
70 879
70 891
70 901
70 913
70 919
70 921
70 937
70 949
70 951
70 957
70 969
70 979
70 981
70 991
70 997
70 999
71011
71 023
71039
71059
71069
71081
71089
71119
2.89.397
2. 27. 7. 11. 17
4.11.1607
4-3-7I-83
8.3.7.421
32.3.11.67
16.4423
2.3.47.251
8.8849
2.17.2083
8.5.7. 11. 23
2.3.11807
64.27.41
4-I77I3
2.9.31. 127
4.13.29.47
2.3.11813
2-3-5- I 7- I 39
4.25.709
256.277
2.59.601
8.9.5.197
8.8867
4-17737
2.3.25. 11. 43
4-243-73
8-3-2957
2.23.1543
4-3-5-7-I3-I3
2.5.31.229
4.17749
2-3- Il8 33
2.27.5.263
2.3.7.19.89
2. 11. 3229
2.3.13.911
4.109.163
8.5-1777
16.3. 1481
2.81.439
265, 22
101,246
85,252
137,228
263, 40
203,172
245,104
57,260
47,262
11,266
265, 26
97,248
27,187
77,180
101,174
9,188
195,128
153^54
i55> 1 53
181,138
215,111
221,105
15,188
230, 77
233, 74
227, 80
71,148
461, 5 1
455,
467,
53
49
266, 3
373, 73
532, 2
224, 83473, 47
257, 4oi37, 99
260, 33520, 22
106,141:212, 94
212, 93I424, 62
35,2641161,150
229,1361 87,178
257, 7°
141,226
213,160
15,266
169,206
187,190
59,260
185,192
263, 30
249, 6 7
143,159
209,117
141,160
121,168
253, 48
98,143
193,106
259, 36
59,i5o
266, 9
28,153
134,133
128,135
167,120
266, 11
5° 6 > 32
527, 15
511, 29
518, 24
118,100
532, 6
56,102
265, 89
256, 90
334,
299,
80
85
QUADRATIC PARTITIONS.
177
p-
A B
L M
71129
71143
71 147
71153
71161
71167
71171
71191
71209
71233
71237
71249
71257
71261
71263
71287
71293
71317
71 327
71329
71 333
71339
71341
71347
71353
71359
71363
71387
71 389
71399
71411
71413
71419
71429
71 437
71443
71453
71471
71473
71479
8.17.523
2. 3.71. 167
2-35573
16.4447
S-3-5-593
2.3.29.409
2. 5. 11. 647
2.9.5.7. 113
8.9.23.43
64.3.7-53
4.11.1619
16.61.73
8.3.2969
4-5-7-5°9
2.9.37.107
227,140 21,188 —
— '254, 47
— i 75,181 —
167,208 201,124
75,256103,174'
— 207,119
197^80253, 60
257> 72,239, 84
209,166 —
265, 32249, 68
261, 56137,162
245,106
2.3. 109.109 —
4-3-13-457 267,
4.9.7.283
2. 19.1877
32.3.743
123"
, 2
,134
177,200
4.17.1049 1113,242
2.53-673
4.3.5.29.41 221,150
2.3.11. 23.47
8.9.991
2.3.7.1699
2.31.1151
2.7.5099
4.27.661
2. 29.1231
2 .5.37.i93
4.3.11.541
2.3.11903
4-7-255 1
4-3-5953
2.729.49
4.17863
2.5.7.1021
16.3.1489
2. 9. 11. 19. 19
267, 8
267, 10
247,102
175,202
259, 66
; 53>262
263, 48
2a
191,132
267, 5
263, 33
199,126
135,163
267, 7
231, 95
187,135
1,189
151,156
43,*5 2
262, 29
122,137
203,100
95,!44
197,104
266, 13
218, 89
119,138
13,154
209, 96
257, 42
100,143
149,128
178,115
217, 90
259, 38
116,139
395, 69
413,
175,
533, 5
97,101
190, 96
509, 3i
227, 93
485, 43
238, 92
475, 47
418, 64
244, 63
191,108
166,121
5 J 4,
329,
28
. 81
533, 7
5 2 3* 21
434, 60
145,
3 QI ,
17,154445, 57
488, 42
382, 72
529, 15
178
QUADRATIC PARTITIONS.
p
p-1
a be d
A B
L M
71483
2.103347
—
261, 41
—
—
71503
2.3.17. 701
—
—
70,149
377, 73
71527
2.3.7. 13.131
—
—
262, 31
355, 77
71537
16.17.263
241,116
147,158
—
—
71549
4-31-577
155,218
—
—
—
71 551
2-27-25.53
—
—
82,147
164, 98
71563
2.3.11927
—
11,189
136,133
535, 1
71569
16.9.7.71
63,260
163,150
113,140
533, 9
71 593
8.3.19.157
243,112
49,186
139,132
278, 88
71597
4.7.2557
29,266
—
-—
—
71633
16.121.37
223,148
189,134
—
—
71647
2.3.1 1941
—
—
142,131
251, 9i
71663
2.35 8 3 r
—
—
—
—
71671
2.3.5.2389
—
—
38,153
76,102
71 693
4.17923
227,142
—
—
—
71699
2. 11. 3259
—
57,i85
—
—
71707
2. 3.17. 19.37
—
**S>*1*
260, 37
149, 99
71711
2.5.71.101
—
—
—
—
71713
32.27.83
233^32
251, 66
49,152
407, 67
71719
2.3-1*953
—
—
254, 49
107,101
71741
4.5.17.211
85,254
—
—
—
71761
16.3.5. 13.23
119,240
263, 36
169,120
338, 80
71777
32.2243
79,256
33,i88
—
—
71789
4.i3!-i37
115,242
—
—
—
71807
2.7.23.223
—
—
—
71809
128.3.11.17
153,220
139,162
247, 60
494, 40
71821
4.27.5.7.19
189,190
—
239, 7°
29,103
71837
4.17959
251, 94
—
—
—
71 843
2. 17. 2113
—
225,103
—
—
71849
8.7.1283
5,268
243, 80
—
—
71 861
4-5-3593
185,194
—
—
—
71867
2.35933
—
267, 17
—
71879
2.83.433
—
—
—
71881
8.3.5.599
195,184
257, 54
259, 40
379, 73
71887
2.3.11981
—
—
118,139
535, 7
71899
2.3.23.521
: —
211,117
268, 5
253, 9 1
71909
4.17977
97,250
—
—
—
71917
4.3.13.461
i3!, 2 34
223, 86
35, IQ 3
71933
4.49.367
197,182
—
—
—
71941
4.3.5.11.109
225,146
—
107,142
3i9, 83
QUADRATIC PARTITIONS
179
p
p-1
a b
c d
A B
L M
71947
2.97.571
—
253, 63
248, 59
425, 63
71963
2. n. 3271
—
45, l8 7
—
—
71971
2-3-5- 2 399
—
23,189
268, 7
289, 87
71983
2.27.31.43
—
—
194,107
5*5, 29
71987
2 -35993
—
255, 59
—
—
71993
8.8999
13,268
261, 44
—
—
71999
2.35999
—
—
—
—
72 019
2.9.4001
—
71,183
212, 95
497, 39
72 031
2.3.5.2401
—
—
242, 67
41,103
72 043
2.3.12007
—
229, 99
176,117
352, 78
72 047
2.13.17.163
—
—
—
—
72 053
4.18013
217,158
—
—
—
72 073
8.9.7.11.13
267, 28
125,168
221, 88
43, io 3
72 077
4-37-487
211,166
—
—
—
72 089
8.901 1
67,260
267, 20
—
—
72 091
2.81.5.89
—
197,129
4,i55
461, 53
72 101
72103
4.25.7.103
145,226
—
—
—
2.3.61. 197
—
—
154,127
535, 9
72 109
4.9.2003
253, 9°
—
3i,i54
493, 4i
72 139
2.3.11. 1093
—
!33> l6 5
8,i55
473, 49
72 161
32.5.11.41
265, 44
219,110
—
—
72 167
2.36083
—
—
—
—
72 169
8.3-31-97
165,212
221,108
aii, 96
422, 64
72173
4.18043
157,218
—
—
—
72 211
2.3.5.29.83
—
263, 39
244, 65
49, io 3
72 221
4-5- 2 3-!57
i39. 2 3
—
—
—
72 223
2.3.12037
—
—
86,147
172, 98
72 227
2. 49.11. 67
—
i77,i43
—
—
72 229
4.3- I 3-463
223,150
91,146
347, 79
72 251
2.125. 17.17
—
123,169
—
—
72 253
4.81.223
117,242
—
265, 26
187, 97
72 269
4.7.29.89
125,238
—
—
—
72 271
2.95.11.73
—
—
14,155
479, 47
72 277
4-3- I 9-3 I 7
39,266
157,126
3 r 4> 84
72 287
2.47.769
—
—
—
—
72 307
2.27. 13.103
—
73,183
188,111
376, 74
72 31c
1 8.3.23.131
267, 32
185,138
245, 6 4
53,i°3
72 33^
' 16.3.11.137
129,23^
• 227,102
55,!52
401, 69
72 341
■ 4-5-36i7
265, At
—
72 35^
* 32.7-I7-I9
23,26*
5 26l, At
—
180
QUADRATIC PARTITIONS.
p
p-1
a b
c d
A B [ L M
72 367
2.3.7.1723
—
—
218, 91 55,103
72 379
2.9.4021
—
269, 3
76,149371, 75
72 383
2.36191
—
—
— —
72 421
4.3.5.17.71
255> 86
—
203,102406, 68
72 431
2.5.7243
—
—
—
—
72 461
4-5-3 62 3
269, 10
—
—
—
72 467
2. 19.1907
—
255, 6l
—
—
72 469
4. 27. 11. 61
215,162
—
269, 6538, 4
72 481
3S8.3.5.X51
241,120
209,120
217, 92! 59,io3
72 493
4.3.7.863
77,258
—
209, 98503, 37
72 497
16.23.197
239,124
243, 82
— —
72 503
2.36251
—
—
— —
72 533
4-18133
263, 58
—
— —
72 547
2.3.107. 113
—
257, 57
232, 79;4 6 9, 5 1
72 551
2. 25.1451
—
—
— —
72 559
2.9.29.139
—
—
22,155443, 59
72 577
128.81. 7
161,216
127,168
265, 28349, 79
72 613
4.9.2017
63,262
—
229, 82
475, 49
72 617
8.29.313
269, 16
207,122
—
—
72 623
2. 11. 3301
—
—
—
—
72 643
2.3.12107
—
119,171
260, 41
383, 73
72 647
2.7.5189
—
—
—
72 649 8.9.1009
235^32
269, 12
I3M36
277, 89
72 661 4 3-5.7.I73
169,210
—
269, 10
239, 93
72 671 2.5.13.13.43
—
—
—
—
72 673 32.3.757
247,108
59,186
239, 72
478, 48
72 679 2.3.12113
—
—
98,145
337, 81
72 689 16.7.11.59
217,160 183,140
—
—
72 701
4.25.727
101,250
—
—
72 707
2-36353
—
153,157
—
—
72 719
2 io3-353
—
—
—
—
72 727
2 -3- I 7-23-3 I
—
—
5o,i53
100,102
72 733
4.3.11. 19.29
267, 38
—
215, 94
67,103
72 739
2.81.449
—
161,153
256, 49
403, 69
72 763
2.3.67. 181
— 149,159
196,107
125,101
72 767
2.36383
- — —
—
—
72 797
4.18199
91,254 —
—
—
72 817
16.3.37.41
249,104265, 36
103,144
206, 96
72 823
2.3-53-229
■
170,121
193, 97
72 859
2.3.12143
101,177
28,155
437, 61
QUADRATIC PARTITIONS.
181
V
p-1
a b
c d
A B
L M
72 869 4-18217
65,262
1
—
72 871 2.3.5.7.347
—
214, 95
71,103
72 883 2.9.4049
—
(199,129
224, 87448, 58
72 889; 8.3.3037
267, 40
^67,150
259, 44127,101
72 893 4.18223
203,178
— —
72 901
4.729.25
1,270
149,130241, 93
72 907 2.3.29.419
■ —
77 5 i83
268, 19325, 83
72 911 2.5.23.317
—
—
—
—
72 923; 2.19.19.101
—
261, 49
—
—
72 931I2.3.5.11. 13.17
—
I9M35
52,153
104,102
72 937 18.9.1013
269, 24
143,162
85,148
529, 21
72 949 4-3-6079
7,270
—
269, 143 11 , 85
72 953 8.11. 829
107,248
249, 74
— —
72 959 2.36479
—
—
72 973 4.9.2027
243,118
—
95^46 533, 17
72 9771 16.4561
151,224
105,176
—
—
72 997| 4.3.7. 11-79
239,126
—
43,154
505, 37
73 009
16.27. 13.13
145,228
269, 18
1,156
2,104
73 013
4.18253
263, 62
—
—
73 019
2.11.3319
—
141,163
—
—
73 037
4.19.31. 31
269, 26
—
—
—
73 039
2.3.7.37.47
—
—
206,101
509, 35
73 043
2.59.619
—
9,191
—
—
73 061
4.5.13.281
175,206
—
—
73 063
2.81. 11. 41
—
—
190,111
380, 74
73 079
2.61.599
—
—
—
—
73 091
2.5-7309
—
87,181
—
—
73 121
32.5.457
215,164
261, 50
—
—
73 127
2.36563
—
—
—
—
73133
4.47.389
67,262
—
—
—
73 141
4.3-5.23.53
265, 54
—
221, 90
442, 60
73 181
4-53659
235^34
—
—
—
73 189
4-9.i9« I o7
17,270
—
139,134
263, 91
73 237
4.3.I7.359
249,106
—
205,102
410, 68
73 243
2.9-i3-3 I 3
—
269, 21
220, 91
493, 43
73 259
2.36629
—
189,137
—
—
73 277
4.7.2617
149,226
—
—
—
73 291
2.3.5.7.349
—
43,189
92,147
184, 98
73 303
2.3.19.643
—
70,151
5 2 3, 27
73 309
4.3.41. 149
155,222
199,106
5i7, 31
182
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
73 327
2.3.121.101
—
—
82,149
365, 77
73 331
2-5-7333
—
159,155
—
—
73 351
2.9.25.163
—
—
158,127
223, 95
73 361
16.5.7. 131
265, 56
231,100
—
—
73 '463
2.3.12227
—
I5M59
56,153112,102
73 369
8.9.1019
195,188
251, 72
^S 6 38,104
73 379
2.19.1931
—
177,145
—
73 387
2.243.151
—
163,153
148,1311245, 93
73 417
8.3.7.19.23
61,264
65,186
253, 56 85,103
73 421
4-5-3 6 7i
211,170
—
—
—
73 433
8.67.137
227,148
165,152
t
73 453
4.3.6121
83,258
—
271, 2^65, 91
73 459
2.9.7. n. 53
—
271, 3
i76,n9533, !9
73 471
2-3-5-3 I -79
—
—
218, 93436, 62
73 477
4.9-i3-i57
271, 6
—
235, 78470, 52
73 483
2-3-37-331
—
221,111
236, 77
467, 53
73 517
4.18379
269, 34
—
—
—
73 523
2.36761
—
225,107
—
—
73 529
8.7.13.101
77,260
261, 52
—
—
73 547
2.11.3343
—
n7,!73
—
—
73 553
16.4597
247,112
249, 76
—
—
73 561
8.3-5-613
219,160
169,150
269, 20329, 83
73 571
2.5.7. 1051
—
iu,i75
—
—
73 583
2.36791
—
—
—
—
73 589
4.18397
265, 58
—
—
—
73 597
4-3- 6l 33
261, 74
—
217, 94
499, 4i
73 607
2.13.19.149
—
—
—
—
73 609
8.3.3067
203,180
131,168
229, 84
458, 56
73 613
4.7.11.239
253, 98
—
—
—
73 637
4.41.449
271, 14
—
—
—
73 643
2.36821
—
171,149
—
—
73 651
2.3.25.491
—
47,189
188,113
527, 25
73 673
8.9209
43,268
141,164
—
73 679
2. 11. 17. 197
—
—
—
—
73 681
i6.3-5-3°7
159,220
67,186
209,100
9!, io 3
73 693
4.9.23.89
123,242
265, 34
367, 77
73 699
2.3.71. 173
—
193^35
268, 25
343, 81
73 709
4.18427
205,178
—
—
73 721
8.5.19.97
235> I 3 6
39, I 9 C
—
—
73 727
2. 191. 193
—
—
—
—
QUADRATIC PARTITIONS.
183
p
p-1
a b
c d
A B
L M
73 751
2.625.59
—
—
—
—
73 757
4.18439
229,146
—
—
—
73 771
2. 3-5- 2 459
—
139.165
164,125
539, J 3
73 783
2.9.4099
—
—
226, 87
452, 5 8
73 819
2.27.1367
—
269, 27
244, 69
488, 46
73 823
2.7-5273
—
—
—
—
73 847
2.36923
—
—
—
—
73 849
8.3.17.181
45,268
11,192
29,156
58,104
73 859
2.36929
—
249. 77
—
—
73 867
2-3-13947
—
83,183
208,101
95, IQ 3
73 877
4-H-23-73
151,226
—
—
—
73 883
2.I7-4I-53
—
99, J 79
—
—
73 897
8-3-3°79
261, 76
13,192
245, 68
449, 59
73 907
2.7.5279
—
63,187
—
—
73 939
2.3.12323
—
209,123
224, 89
49 1 , 45
73 943
2.11.3361
—
—
—
—
73 951
2.3.25.17.29
—
—
2,i57
469, 53
73 961
8.5-43-43
269, 40
177,146
—
—
73 973
4.18493
73,262
—
—
—
73 999
2.9.4111
—
—
86,149
533, 21
74 017
32.9-257
271, 24
17,192
167,124
205, 97
74 021
4.5-37oi
239 5 i3
—
—
74 027
2.37013
—
267, 37
—
74 047
2.3.7.41.43
—
—
io,i57
481, 49
74 051
2. 25.1481
—
Sb^ 1
—
—
74 071
2.9.5.823
—
—
62,153
124,102
74 077
4-3- 6l 73
i39 5 234
—
247, 66
494, 44
74 093
4.18523
163,218
—
—
—
74 099
2.37049
—
207,125
—
—
74101
4.3.25.13.19
249,110
—
253, 58
427, 65
74131
2-3-5-7-353
_
247, 81
272, 7
25 1 , 93
74143
2.27.1373
—
—
i4,i57
457, 57
74149
4-3-37-i°7
2 57. 9°
—
101,146
539, i5
74159
2.7.5297
—
—
—
74161
16.9.5. 103
81,260
269, 30
257, 52
101,103
74167
2.3.47.263
—
—
178,119
179, 99
74177
64.19.61
121,244
'267, 38
—
—
74188
4.17. 1091
125,242
—
—
—
74197
4.81.229
199,186
163,126
326, 84
74 201
8.25.7.53
155.224
201,130
!
—
184
QUADRATIC PARTITIONS.
B
L M
74 203
74 209
74 219
74 231
74 257
74 279
74 287
74 293
74 297
74 311
74 317
74 323
74 353
74 357
74 363
74 377
74 381
74 383
74 411
74 413
74 419
74 441
74 449
74 453
74 471
74 489
74 507
74 509
74 521
74 527
74 531
74 551
74 561
74 567
74 573
74 587
74 597
74 609
74 611
74 623
2.3-83-149
32-3-773
2.43.863
2.5i3-57i
16.3.7. 13.17
2.37139
2.9.4127
4.3.41. 151
8-37-251
2-3-5-2477
4-3- II -5 6 3
2.9.4129
16.3.1549
4.29.641
2.37181
8.9.1033
4.5-37I9
2.3.49.11.23
2.5.7.1063
4.27-I3-53
2-3-79-J57
8.5.1861
16.9.11.47
4.7.2659
2.5.11.677
8.9311
2.37253
4.3.7.887
8.81.5.23
2.3.12421
2.5.29.257
2.3.25.7.71
64-5-233
2.23. 1621
4.103.181
2.3.31.401
4.17.1097
16.4663
2.9.5.829
2.3.12437
15,272
201,184
183,202
269, 44
99, 2 54
263, 72
169,214
181,204
109,250
253,102
221,160
215,168
233,142
83,260
147,230
261, 80
95,256
77,262
271, 34
25,272
97,180
237, 95
23,192
85,183 16,157487, 47
123,172
271, 21
25,192
189,139
253, 72
219,115
239, 93
129,170
199,132
271, 16319, 85
137,136271, 91
170,123340, 82
131,138262, 92
106,145541, 13
i43, I 34j545, 3
64,153128,102
71,1521527, 27
37,i56
146,133
271, 18
236, 79
239, 76
267, 40
3,i93
— 241, 74
73,186 211,100
— 1122,141
273, i j —
— 242, 73
273, 4
I 55, I 59i5 2 ,i3 I
i53, l6 o —
127,1711256, 55
— I 26,157
74,104
253, 93
542, 12
1,105
11,105
19,105
5«i 37
244, 94
23, IQ 5
545,
421, 67
445, 61
QUADRATIC PARTITIONS.
185
V
P -\
a b
c d
A B
L M
74 653
4.3.6221
267, 58
—
119,142
307, 87
74 687
2.107.349
—
—
—
—
74 699
2.13.13.13.17
—
69,187
—
—
74 707
2.3.12451
—
167,153
268, 31
361, 79
74713
8.3.11.283
27,272
119,174
269, 28
185, 99
74 717
4.18679
101,254
—
—
—
74 719
2.9-7-593
—
—
262, 45
524, 3°
74 729
8.9341
115,248
273, 10
—
—
74 731
2.3.5.47-53
—
187,141
28,157
499, 43
74 747
2.7. 19.281
—
147,163
—
—
74 759
2.37379
—
—
—
—
74 761
8.3.5.7.89
131,240
257, 66
227, 88
37,io5
74 771
2-5-7477
—
273, 11
—
—
74 779
2. 3. 121. 103
—
211,123
52,155
4i3, 69
74 797
4.3.23.271
211,174
—
257, 54
514, 36
74 821
4-3-5- 2 9-43
111,250
—
133,138
266, 92
74 827
2.9.4157
—
235, 99
100,147
200, 98
74 831
2.5.7.1069
—
—
—
—
74 843
2.23.1627
171,151
—
—
74 857
8.3.3119
219,164
227,108
43,i56
86,104
74 861
4.5 19.197
269, 50
—
—
—
74 869
4-3- I 7-367
i35>238
—
6i,i54
523, 3i
74 873
8. 49.191
173,212
219,116
—
74 887
2.3.7.1783
—
—
158,129
316, 86
74 891
2.5.7489
243, 89
—
74 897
16.31. 151
191,196
93,182
—
—
74 903
2.17.2203
—
—
—
—
74 923
2.3.12487
—
59,i89
184,117
368, 78
74 929
16.3.7.223
273, 20
i73,i5
127,140
293, 89
74 933
4.11.13.131
247,118
—
—
—
74 941
4.3.5.1249
229,150
—
7,i58
467, 55
74 959
2 -3-i3-3 I -3 I
—
—
254, 59
43i, 65
75 Oil
2-5-13-577
—
81,185
—
—
75 013
4.3.7.19.47
273, 22
—
11,158
485, 49
75 017
8-9377
139*236
195,136
—
—
75 029
4.18757
185,202
—
—
—
75 037
4.3-!3-i3-37
171,214
—
215, 98
5°9, 39
75 041
32.5-7-67
271, 40
273, 16
—
—
75 079
2.9.43.97
—
274, 1
277, 91
75 083
2.7.31. 173
261, 59
—
—
2 b
186
QUADRATIC PARTITIONS.
p-1
A B
L M
75109
75 133
75 149
75 161
75 167
75169
75181
75193
75 209
75 211
75 217
75 223
75 227
75 239
75 253
75 269
75 277
75 289
75 307
75 323
75 329
75 337
75 347
75 353
75 367
75 377
75 389
75 391
75 401
75 403
75 407
75 431
75 437
75 479
75 503
75 511
75 521
75 527
75 533
75 539
4.3.11.569
4.9.2087
4.18787
8.5.1879
2.49.13.59
32.81.29
4-3-5-7-I79
8.3.13.241
8.7.17.79
2.3.5.23.109
16.3.1567
2.27.7.199
2.29.1297
2.37619
4.3.6271
4.31.607
4.27.17.41
8.3.3137
2. 3.7. 11. 163
2.13.2897
64.11. 107
8.3-43-73
2.101.373
8.9419
2.9-53-79
16.7.673
4.47.401
2-3-5-7-359
8.25.13.29
2.9.59.71
2.37.1019
2-5- I 9-397
4.18859
2.13.2903
2-7-5393
2.9.5.839
256.5-59
2.II-3433
4.23.821
2.179.211
47,270
267, 62
205,182
125,244
267, 44
87,260251, 78
259, 9° —
117,248 121,174
35,272159,158
— i57»i59
169,216 137,168
27,193
263, 78 1 —
113,250
269, 54
133,240
223,160
99,256
37,272
151,162
205,129
99,181
197,110
121,142
271, 24
17,158
259, S 2
56,155
47,156
274, 7
19,158
175,122
251, 64
272, 21
527 ;
547.
542, 16
49i, 47
4i5, 69
521, 33
94,104
295, 89
455, 59
191, 99
59,io5
544, 14
271,
235,
273, 20 —
I93,'38|i87,n6i<
i35, l6 9i —
9, J 94! —
— 238, 79|475, 53
237, 98! —
1245,124
19*274;
89,260
83,262
147,164
269, 39
38,i57
433, 65
260, 51 520, 34
— 206,105
267, 46 —
412, 70
183,145
QUADRATIC PARTITIONS.
187
p p—1 a b
c d
A B
L M
75 541
4-3-5-I259
105,254
—
253, 62
67,105
75 553
32-3-737
273, 32
239, 96
79,i52
377, 77
75 557
4.I3.I453
271, 46
—
—
—
75 571
2.3.5.11.229
—
257, 69
272, 23
34i, 83
75 577
8.3.47.67
141,236
43,^2
245, 72
490, 48
75 583
2.9.13.17.19
—
—
274, 13
3i3, 87
75 611
2.5-756i
—
243, 9i
—
—
75 617
32.17.139
239^36
207,128
—
—
75 619
2.9.4201
—
27*, 33
112,145
547, "
75 629
4.7.37.73
275, 2
—
—
—
75 641
8.5.31.61
275, 4
117,176
—
—
75 653
4.18913
257, 98
— —
—
75 659
2.11.19.181
—
141,167! —
—
75 679
2.3-12613
— 254, 61
7M°5
75 683
2.79.479
— |255, 73
—
—
75 689
8.9461 ! 275, 8111,178
—
—
75 703
2.3.11.31.37)
— 74,i53
148,102
75 707
2.37853
—
267, 47
—
—
75 709
4.27.701
53,270
—
247, 7°
457, 59
75 721
8.3.5.631
189,200
223,114
163,128
221, 97
75 731
2-5-7573
—
177,149
—
—
75 743
2.37871
—
—
—
—
75 767
2.43.881
—
—
—
—
75 773
4.19.997
187,202
—
—
—
75 781
4.9.5.421
145,234
91,150
182,100
75 787
2.3- I 7-743
—
275, 9
248, 69
496, 46
75 793
16.3.1579
63,268
259, 66
271, 28
355, 81
75 797
4.7.2707
71,266
—
j —
75 821
4.5.17.223
275, J 4
—
—
i -
75 833
8.9479
43,272
231,106
75 853
4.9.49.43
163,222
—
1 31,158
;443, 63
75 869
4.i3-!459
| 85,262
—
—
—
75 883
2.3.12647
—
115,177
44,i57
427, 67
75 913
8.3.3163
267, 68
275, i2
101,148
i343, 83
75 931
2.3.5.2531
—
67,189
268, 37
1379, 77
75 935
' 32.3.7-H3
79,264
47,*9 2
i43,i3^
265, 93
75 94]
- 4-5-3797
271, 5 C
—
—
—
75 96*5
7 2.3.11.1151
—
—
250, 6)
45 1 , 6t
75 97<
) 2.81.7.67
—
181,14;
'256, 5c
) 79, IQ 5
75 98:
5 2.37991
1 "~~
—
—
—
188
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
75 989
4.121.157
217,170
—
— —
75 991
2.3.5.17.149
—
—
146,135292, 90
75 997
4.9.2111
251,114
—
185,118 169,101
76 001
32.125.19
265, 76
27,194
!
76 003
2.3-53- 2 39
—
95>i83
76,153152,102
76 031
2.5.7603
—
—
—
—
76 039
2.3.19.23.29
—
—
14,159
28,106
76 079
2.38039
—
—
—
—
76 081
16.3.5.317
209,180
83,186
263, 48
526, 32
76 091
2.5.7.1087
—
267, 49
—
—
76 099
2.3.11.1153
—
7,195
16,159 32,106
76103
2.13.2927
—
—
—
—
76123
2.9.4229
—
251, 81
224, 93
448, 62
76 129
32.3.13.61
273> 4o
49,192
209,104
521, 35
76147
2.3-343-37
—
247, 87
88,151
54i, 21
76157
4.79.241
229,154
—
—
—
76159
2.9.4231
—
—
274, 19
33i, 85
76163
2.H3-337
—
225,113
—
—
76 207
2-3-I3-977
—
—
98,149
545, 17
76 213
4.9.29.73
87,262
—
275, 14
3i7, 87
76 231
2.9.5.7.121
—
—
122,143
55i, 7
76 243
2.3.97.131
—
191,141
20,159
40,106
76 249
8.27.353 , 93> 26 °
107,180
269, 36
538, 24
76 253
4.11.1733 1133,242
—
—
—
76 259
2.7-I3-4I9 |
231,107
—
—
76 261
4-3-5-3 I -4i !255) 106
—
37,J5S
437, 65
76 283
2.43.887
219,119
—
—
76 289
512.149 1167,220
267, 50
—
—
76 303
2.243.157
—
266, 43
137,103
76 333
4.3.6361 1237,142
—
241, 78
482, 52
76 343
2.49.19.41
—
—
—
—
76 367
2.38183
—
—
—
76 369
I6.3-37-43 137,240
263, 60
119,144
238, 96
76 379
2.38189
—
123,175
—
—
76 387
2.3-29-439
—
97,183
268, 39
536, 26
76 403
2.38201
—
111,179
—
—
76 421
4.5.3821
175*214
—
—
—
76 423
2.3.47.271
—
—
254, 63
508, 42
76 441
8-3-5-49-I3
195,196
187,144
197,112
139,103
76 463
2.38231
1
—
—
—
QUADRATIC PARTITIONS.
189
p
F--1
a b
c d
A B
L M
76 471
2.3.5.2549
—
j _
142,1371269, 93
76 481
64.5.239 |l9I,200
159,160;
76 487
2.167.229
—
76 493
4.13.1471
227,158
— i — i —
76 507
2.3.41. 311
—
275> 21272, 29359, 81
1
76 511
2.5.7.1093
—
76 519
2.27. 13.109
— •
—
26,159 52,106
76 537
8.9.1063
19,276
53^92
85,152
37i, 79
76 541
4-5-43-89
235^46
—
—
—
76 543
2.3.12757
—
130,141260, 94
76 561
16.3.5.11.29
105,256
167,156
247, 72494, 48
76 579
2.3.12763
—
23»i95
148,135296, 90
76 597
4.3.13.491
39,274
—
275, 181550, 12
76 603
2.3-17-751
—
259, 69
100,149347, 83
76 607
2.38303
—
— —
76 631
2.5.79.97
—
—
—
76 649
8.11. 13.67
275> 32
207,130
—
—
76 651
2.3.25-7-73
—
149,165
52,i57
523, 35
76 667
2.38333
—
r 95>i39
—
—
76 673
128.599
217,172
I7i>i54
—
~~
76 679
2-7-5477
—
—
—
76 697
8.9587
131,244
267, 52
—
—
76 717
4.9.2131
269, 66
—
113,146
55i, 11
76 733
4.19183
277, 2
—
—
76 753
16.9.13.41
183,208
55^92
i75, I2 4
547, 17
76 757
4.31.619
41,274
—
—
—
76 771
2.9-5-853
73,189
212,103
97,io5
76 777
8-3-7-457
229,156
275, 2 4
277, 4
289, 91
76 781
4-5-H-349
275. 34
—
—
—
76 801
1024.3.25
25,276
277, 6
1,160
481, 53
76 819
2-3-7-3!-59
—
119,177
164,129
328, 86
76 829
4.19207
277, 10
—
—
—
76 831
2-3-5- r 3-i97
—
266, 45
532, 30
76 837
4-3- 19.337
111,254
—
277, 6
554, 4
76 847
2.7.11.499
—
—
—
—
76 871
2.5.7687
—
—
—
—
76 873
8.3-3203
277, 12
205,132
251, 68
455, 6i
76 883
2.13.2957
255, 77
—
—
76 907
2.38453
—
267, 531
—
—
76 913
16.11. 19.23
263, 88
9,196
—
~
190
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
76 919
2.38459
—
—
—
—
76 943
•.17.31.73
—
—
—
—
76 949
4.19237
265, 82
—
—
—
76 961
32.5-I3-37
169,220
69,190
—
—
76 963
2.3.101.127
209,129
200,111
400, 74
76 991
2.5.7699
—
—
—
—
77 003
2.38501
—
141,169
—
—
77 017
8.3.3209
29,276
277, 12
205,108
410, 72
77 023
2.9.11.389
—
—
226, 93
452, 62
77 029
4-3-49- I 3 I
273> 5°
—
277, 10
307, 89
77 041
16.9.5.107
271, 60
179,15°
167,128
551, n
77 047
2.3.12841
—
—
182,1211
181,101
77 069
4.19267
*75> 38
—
—
—
77 081
8.5.41.47
259,100
123,176
—
—
77 093
4.19273
143.238
~~
—
—
77 101
4.3.25.257
45.274
47,158
521, 37
77137
16.3.1607
31,276
157,162
265, 48
530, 32
77 141
4.5.7.19.29
121,250
—
—
—
77153
32.2411
73,268
165,158
—
—
77167
2.27.1429
—
—
190,117
380, 78
77171
2.5.7717
—
207,131
—
—
77191
2-3-5-3I-83
—
—
254, 65
449, 63
77 201
16.25.193
215,176
i53> l6 4
—
—
77 213
4.97.199
277, 22
—
—
—
77 237
4.19309
199,194
— ■
—
—
77 239
2.9.7.613
—
—
: 94,15!
547, 19
77 243
2.11.3511
—
219,121
;
—
77 249
64.17.71
193,200
81,188
—
77 261
4.5.3863
269, 70
—
—
—
77 263
2.3-79- l6 3
—
—
274, 27
548, 18
77 267
2.7.55 L 9
—
273, 37
—
77 269
4.3.47.137
263, 90
163,13c
553, ll
77 279
2.38639
—
—
—
—
77 291
2.5.59.131
—
I7I.I55
—
77 317
4.3- I 7-379
81,266
277, M
^35, 97
77 323
2.3.49.263
—
245, 9:
;244, i)
i3, IQ 7
77 33S
2.38669
' —
267, 51
—
77 345
2.9.4297
—
217,12;
5260, 5'
^520, 38
77 351
2.25.7.13.1'
J
—
; —
1
77 35S
\ 2.3-12893
1 —
; —
278, .
5|293, 9i
QUADRATIC PARTITIONS.
191
V
P -l
a b
c d
A B
L M
77 369 8.19.509
205,188
261, 68
—
77 377| 64.3.13.31
249,124
277, 18
223, 96
446, 64
77 383! 2.27.1433
—
—
266, 47
407, 73
77 417 8.9677
109,256
273, 38
—
—
77 419
2. 9. 11. 17. 23
—
37,195
104,149
55i, i5
77 431
2.3.5.29.89
—
—
278, 7
257, 95
77 447
2.38723
—
—
—
—
77 471
2.5.61. 127
—
—
—
—
77 477
4.7.2767
49,274
—
—
—
77 479
2.3-37-349
—
—
166,129
332, 86
77 489
16.29.167
185,208
249, 88
—
—
77 491
2.27.5.7.41
—
271, 45
248, 73
29,107
77 509
4.92153
15,278
—
203,110
533, 31
77 513 8.9689
277, 28
99,184
—
—
77 521
16.3.5.17.19
225,164
227,114
233, 88
3M<>7
77 527
2.9-59-73
—
278, 9
556, 6
77 543
2.137.283
—
—
—
77 549
4.19387
230,157
—
—
—
77 551
2.3.25.11.47
—
74,155
539, 27
77 557
4.3.23.281
15^234
—
173,126
346, 84
77 563
2.9.31. 139
269, 51
140,139
277, 93
77 569 256.3.101
255,112 113,180)137,140557, 1
77 573
4.11. 41.43
17,278 — !
—
77 587
2.3.67.193
— :io3,i83 ! 232, 89
35, io 7
77 591
2-5-7759
—
—
77 611
2.3.5.13.199
277, 21
208,107
h3, io 5
77 617
16.9.49. 1 1
89,264
233,108193,116
i55, io 3
77 621
4.5.3881
265, 86
—
77 641
8.3.5-647
171,220221,120 29,160
45 1 , 63
77 647
2.3-12941
278, 11
311, 89
77 659
2.3-7-43-43
— ^03,135
272, 35
377, 79
77 681
16.5.971
241,140 141,170
—
—
77 687
2.7.31. 179
— —
—
77 689
8.9.13.83
267, 80:199,138149,136
259, 95
77 699
2-53-733
— <M97 —
—
77 711
2.5.19.409
— — —
—
77 713
16.3. 1619
257,108 131, 1741169,128
215, 99
77 719
2.3-12953
— — 262, 55
427, 69
77 723
2.38861
— • 69,191 —
—
77 731
2.3.5-2591
4i,i95
128,143
557, 5
192
QUADRATIC PARTITIONS.
-1
A B
L M
77 743
77 747
77 761
77 773
77 783
77 797
77 801
77 813
77 839
77 849
77 863
77 867
77 893
77 899
77 929
77 933
77 951
77 969
77 977
77 983
77 999
78 007
78 017
78 031
78 041
78 049
78 059
78 079
78101
78121
78137
78139
78157
78163
78167
78173
78179
78 191
78 193
78 203
2.9.7.617
2.38873
64.243.5
4.3.6481
2.38891
4.9.2161
8.25.389
4-49-397
2.3.12973
8.37.263
2.3.19.683
2-38933
4.3.6491
2.3.12983
8.3.17.191
4.19483
2.25.1559
16.11.443
8.27. 19.19
2.3.41. 317
2.59.661
2.3.13001
64-23-53
2.27.5.17. 17
8.5.1951
32.9.271
2.31. 1259
2.3.7.11. 13.13
4-25.11. 71
8-9-5-7-3I
8.9767
2.27.1447
4.9.13.167
2.3.7.1861
2. 121. 17. 19
4.19543
2.39089
2.5.7.1117
16.27. 181
2. 61. 641
i35>244
227,162
271, 66
101,260
23,278
155,232
— 230, 91
57,193 —
181,150 31,160
— 271, 38
237,104
279,
243, 9
273, 58
43,i95
275, 48239,102
253,118
265, 88
91,264
199,196
229,160
143,240
55,274
261,100
269, 76
189,206
277, 38
207,188
279, 8
215,126
267, 58
279, 10
271, 48
21,197
253, 84
213,128
251, 87
265, 63
279, 13
269, 54
261, 71
;I97,H4
106,149
10,161
!55,i34
268, 45
277, 20
275, 28
254, 67
98,15!
158,133
7M56
206,109
139,140
136,141
145^38
20,161
161,132
43,^7
5ii, 43
i57,io3
394, 76
34i, 85
473, 57
557, 7
536, 30
217, 99
191,101
53,io7
355, 83
241, 97
142,104
121,105
281, 93
272, 94
290, 92
5°3, 47
322,
QUADRATIC PARTITIONS.
193
p
p-1
a b
c d
A B
L M
78 229
4- 9-41-53
73,270
211,106
529, 35
78 233
8. 7. n. 127
187,208
279, 14
—
78 241
32-3-5 163
279, 20
133^74
271, 40
39i, 77
78 259
2-3- I 3°43
—
47,195
244, 79
481, 55
78 277
4-3-H-593
209,186
—
245, 78
490, 52
78 283
2.9.4349
—
125,177
116,147
232, 98
78 301
4.27.25.29
165,226
—
217,102
434, 68
78 307
2.3.31. 421
—
247, 93
200,113
539, 29
78 311
2.5.41. 191
—
—
—
78 317
4.7.2797
259,106
—
—
—
78 341
4-5-39I7
271, 70
—
—
—
78 347
2.43.91 1
—
27,197
—
— ,
78 367
2.3-37-353
—
—
278, 19
221, 99
78 401
64.25.49
1,280
273, 44
—
—
78 427
2-9-4357
—
107,183
280, 3
560, 2
78 437
4.19609
239,146
—
—
—
78 439
2.3.17.769
— .
—
26,161
509, 45
78 467
2-39233
—
6 3,i93
—
—
78 479
2.39239
, —
—
—
—
78 487
2.3.103.127
—
—
25°, 73
469, 59
78 497
32.11.223
15^236
123,178
—
—
78 509
4.19.1033
35»278
—
—
—
78 511
2.3.5.2617
—
—
182,123
364, 82
78 517
4.27.727
279, 26
—
157,134
245, 97
78 539
2.107.367
—
I7i,i57
—
78 541
4.3.5.7.11.17
275> 54
—
223, 98
71,107
78 553
8.9.1091
163,228
235,108
251, 72
502, 48
78 569
8.7.23.61
13,280
111,182
78 571
2.81.5.97
197,141
68,157
403, 75
78 577
16.3.1637
49,276
i3,!98
263, 56
43i, 69
78 583
2.3.7. 1871
—
—
190,119
167,103
78 593
256.307
257,112
129,176
—
—
78 607
2.9.11.397
—
—
278, 21
556, 14
78 623
2.19.2069
—
—
—
—
78 643
2.9.17.257
—
271, 5 1
280, 9
560, 6
78 649
8.3.29.113
243,140
149,168
43,160
523, 39
78 653
4-7-53-53
37,278
—
—
—
78 691
2.3.5.43.61
—
263, 69
92,i53
184,102
78 697
89.1093
179,216
17,198
275, 32
37i, 81
78 707
2.23.29.59
—
33,i97
—
—
2c
194
QUADRATIC PARTITIONS.
V
p-1
a b
c d
A B
L M
78 713
8.9839
83,268
219,124
—
—
78 721
128 3.5.41
95,264
193,144
97*i5 2
359, 83
78 737
16.7. 19.37
169,224
105,184
—
—
78 779
a.7-17-33*
—
261, 73
—
—
78 781
4.3.5.13.101
I55>234
—
7,162
14,108
78 787
2.27.1459
—
127,177
32,161
5!5* 43
78 791
2.5.7879
—
—
—
78 797
4.19699
61,274
—
—
78 803
2.31. 31.41'
—
255* 83
—
—
78 809
8.9851
197,200
279, 22
—
—
78 823
2.9.29.151
—
170,129
340, 86
78 839
2.39419
—
—
—
—
78 853
4-3-6571
177,218
—
11,162
22,108
78 857
8.9857
i39>244
45*^6
—
—
78 877
4-9-7.3I3
251,126
—
185,122
55i, 21
78 887
2-39443
—
—
—
—
78 889
8.3.19.173
205,192
241,102
181,124
553, 19
78 893
4.121.163
253,122
—
—
—
78 901
4.3.25.263
249,130
. —
13,162
26,108
78 919
2.3.7.1879
—
—
34,i6i
449, 65
78 929
16.4933
23,280
249* 9 2
—
—
78 941
4-5-3947
235^54
—
—
—
78 977
128.617
281, 4
267, 62
—
—
78 979
2.3.13163
—
281, 3
56,159
112,106
78 989
4.49.13.31
275* 58
—
—
—
79 031
2.5.7.1129
—
—
—
—
79 039
2.9.4391
—
—
166,131
227, 99
79 043
2.39521
—
201,139
—
—
79 063
2.3.13177
—
—
94,153
188,102
79 087
2.3.49.269
—
—
262, 59
85,107
79103
2-3955 1
—
—
—
—
79111
2.27.5.293
—
—
202,113
137,105
79133
4.73.271
43*278
—
—
—
79 139
2.39569
—
39,197
—
—
79147
2.9.4397
—
253, 87
112,149
335, 87
79151
2.25.1583
■ —
—
—
—
79 153
16.3-17-97
273, 68
275* 42
281, 8
305, 9 1
79 159
2.3.79.167
—
—
278, 25
203,101
79181
4-5-37-107
1259,110
—
—
79187
2.17.17.137
—
153*167
—
QUADRATIC PARTITIONS.
195
p
p-\
a b
c d
A B
L M
79193
8.19.521
1 j
133.248279, 26 —
79 201
32. 9.25. 11
55,276251, 90, 49,160
529, 37
79 229
4.29.683
277, 5°
—
79 231
2 -3-5- I 9-i39
—
— 1242, 83
49i, 53
79 241
8.5.7.283
29,280
63,i94
—
79 259
2.23.1723
—
69,193
—
—
79 273
8.27.367
237,152
271, 54
269, 48
538, 32
79 279
2.3.73.181
—
—
146,139
27 1 , 95
79 283
2.49.809
—
9,i99
—
79 301
4.25.13.61
65,274
—
—
79 309
4.9.2203
45,278
—
239, 86
497, 5 1
79 319
2 -39659
—
—
—
79 333
4.3. 11. 601
113,258
—
149,138
298, 92
79 337
8.47. 211
229,164
93,188
—
—
79 349
4.83.239
215,182
—
—
79 357
4-3-17.389
261,106
—
25,162
50,108
79 367
2.7.5669
—
—
—
79 379
2.I3-43-7I
—
177,155
—
—
79 393
32.3.827
87,268
101,186
281, 12
562, 8
79 397
4.23.863
241,146
—
—
79 399
2.9.11.401
—
—
206,111
412, 74
79 411
2.3.5.2647
—
281, 15
152,137
563, 5
79 423
2. 3.7. 31. 61
—
—
74,157
397, 77
79 427
2. 151. 263
—
I 5, I 99
—
79 433
8.9929
277, 52
51,196
—
—
79 451
2.25.7.227
—
243,101
■
79 481
8.5.1987
109,260
267, 64
—
—
79 493
4.7.17.167
47,278
—
—
—
79 531
2.3.5. 11. 241
—
59,i95
272, 43
143,105
79 537
16.3.1657
281, 24
263, 72
217,104
95, io 7
79 549
4.3.7.947
5,282
—
281, 14
323, 89
79 559
2.39779
—
—
—
—
79 561
8.9.5.13.17
235, J 5 6
269, 60
253, 72
506, 48
79 579
2.9.4421
—
181,153
224, 99
448, 66
79 589
4.101.197
145,242
—
—
79 601
16.25.199
199,200
201,140
—
—
79 609
8.3.31. 107
272, 75
281, 18
53,i6o
427, 71
79 613
4.13-1531
197,202
—
—
79 621
4.3-5.1327
239,15°
—
187,122
179,103
79 627
2-3.23.577
—
245, 99
268, 51
536, 34
196
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
79 631
2-5-7963
_
—
—
—
79 633
16.9.7.79
127,252
35,198
265, 56
97,107
79 657
8-3-33 x 9
59,276
77,192205,112541, 31
79 669
4.9.2213
105,262
—
179,126358, 84
79 687
2.9.19.233
—
—
62,159
124,106
79 691
2.5. 13.613
—
213^31
—
—
79 693
4.3-29-229
13,282
—
31,162
62,108
79 697
16.17.293
119,256
183,152
—
—
79 699
2-3-37-359
—
191,147
44,161
527, 39
79 757
4-I27-I57
269, 86
—
—
—
79 769
8.I3-I3.59
37,280
87,190
—
—
79 777
32.9.277
279, 44
37,198
175,128
209,IOT
79 801
8.3.25.7.19
149,240
103,186
277, 32
l8l,I03
79 811
2.5.23-347
—
23MI5
—
79 813
4.27.739
17,282
—
139,142
565, I
79 817
8.11.907
221,176
255, 86
—
79 823
2.107.373
—
—
—
79 829
4.7.2851
265, 98
—
—
79 841
32-5-499
271, 80
207,136
—
79 843
2.3.7. 1901
—
281, 21
136,143
293, 93
79 847
2-13.37-83
—
—
—
—
79 861
4-3-5- I 33i
281, 30
—
269, 50
4i9, 73
79 867
2.81. 17.29
—
235, 111
148,139
565, 3
79 873
2048.3.13
167,228
139*174
119,148
325, 89
79 889
16.4993
233,160
279, 3 2
—
—
79 901
4.25.17.47
251,130
—
—
—
79 903
2.9.23.193
—
—
14,163
475, 59
79 907
2-39953
—
225,121
—
—
79 939
2.9.4441
—
271, 57
64,i59
128,106
79 943
2.39971
—
—
—
—
79 967
2.39983
—
—
—
—
79 973
4.19993
257,118
—
—
—
79 979
2.39989
—
261, 77
—
—
79 987
2-3-13331
—
223,123
280, 23
211,101
79 997
4.7.2857
229,166
—
—
—
79 999
2.3.67.199
. —
—
182,125
557, 19
80 021
4.5.4001
185,214
—
—
—
80 039
2.7.5717
—
—
—
—
80 051
2.25. 1601
— 249, 95
—
—
80 071
2-3-5- I 7.i57
—
—
178,127
559, 17
QUADRATIC PARTITIONS.
197
V
p-1
a b
d
A B
L M
80 077
4.36673
259,114
—
127,1461311, 91
80107
2.3-i3- I 3-79
— 283, 3 20,163^69, 61
80111
2.5.8011
— . —
—
80141
4.5.4007
125,254
— —
—
80147
2.11.3643
—
273, 53 —
80149
4.3.6679
25,282
— 259, 66518, 44
80153
8-43-233
283, 8
279, 34
80167
2-3-3 I -43 I
—
—
278, 3 1
185,103
80 173
4.9.17. 131
147,242
—
95, r 54
367, 83
80177
16.5011
121,256
i35«!76
—
—
80191
2.729.5.11
—
—
22,163
367, 47
80 207
2.7.I7.337
—
—
—
—
80 209
16.9.557
225,172
2 53, 90
247, 80
7,109
80 221
4.3.5-7.I9I
261,110
—
73,i58
401, 77
80 231
2. 5.71. 113
—
—
—
—
80 233
8-3-3343
283, 12
275, 48
85,156
170,104
80 239
2-3-43-3 11
—
—
242, 85
*3, io 9
80 251
2.3.125.107
—
283, 9
268, 53
109,107
80 263
2-9-343-J3
—
—
50,161
533, 37
80 273
16.29.173
137,248
231,116
—
—
80 279
2.1 1. 41. 89
—
—
—
—
80 287
2.3- r 33 81
—
—
250, 77
19,109
80 309
4.17. 1181
55^78
—
—
—
80 317
4.9.23.97
171,226
—
265, 58
439, 69
80 329
8-3-3347
277, 60
227,120
25 1 , 76
23,109
80 341
4.3.5. 13.103
279, 5°
—
227, 98
521, 43
80 347
2.3.7. 1913
—
133,177
80,157
39i, 79
80 363
2.23.1747
—
165,163
—
—
80 369
16.5023
113,260
237,110
—
—
80 387
2.40193
—
207,137
—
—
80 407
2.27.1489
—
—
238, 89
29,109
80 429
4.20107
227,170
—
—
—
80 447
2.19.29.73
—
—
—
80 449
64.3.419
257,120
239,108
193,120
386, 80
80 471
2.5. 13.619
—
—
—
—
80 473
8.3.7.479
93,268
i55> l6 8
269, 52
113,107
80 489
8. 1 006 r
283, 20
99,188
—
—
80 491
2.3.5.2683
—
I73»i59
28,163
5i7, 45
80 513
128.17.37
193,208
255, 88
—
—
80 527
2.3.13421
—
—
118,149
329, 89
OF THE
198
QUADRATIC PARTITIONS.
p
p-i
a b
c d
A B
L M
80 537
8.10067
259,116
267, 68
80 557
4-3-49-I37
99,266
—
97,i54
559. 19
80 567
2.40283
—
—
80 599
2.3.7. 19.101
—
—
218,105
436, 70
80 603
2. 191. 211
—
261, 79
'
80 611
2.3.5.2687
—
247, 99
272, 47
4i3, 75
80 621
4-5- 2 9-i39
211,190
—
—
—
80 627
2-7- I 3-443
—
177,157
—
—
80 629
4-3- 6 7i9
265,102
—
173.13°
217,101
80 651
2.25. 1613
—
123,181
—
80 657
16.71. 71
.1,284
195,146
—
—
80 669
4.7.43.67
155.238
—
—
—
80 671
2.3.5.2689
—
82,157
553, 25
80 677
4.243.83
161,234
—
283, 14
241, 99
80 681
8.5.2017
5.284
243,104
—
80 683
2.3.7. 17.113
—
149,171
284, 3
568, 2
80 687
2.40343
—
—
—
—
80 701
4.3.25.269
75.274
—
263, 62
449. 67
80 713
8.9.19.59
213,188
J 79.!5 6
5> l6 4
497. 53
80 737
32.3.29.29
9,284
283, 18
7,164
485, 57
80 747
2.47.859
—
2I3.J33
—
—
80 749
4.9.2243
35.282
—
257, 7o
47,109
80 761
8.3-5-673
245. r 44
281, 30
107,152
563. i5
80 777
8.23.439
11,284
147,172
—
—
80 779
2.3-J3463
—
277. 45
224,101
527. 4i
80 783
2. 13.13.239
—
—
80 789
4.19.1063
167,230
—
—
—
80 803
2.9.67.67
—
1,201
284, 7
263, 97
80 809
8.3.7.13.37
72,275
49,198
11,164
5°3. 5 1
80 819
2.17.2377
—
249, 97
—
80 831
2.5-59- I 37
—
—
—
—
80 833
64.3.421
263,108245,102
169,132338, 88
80 849
16.31. 163
95,268 93,190
80 863
2-3- J 3477
—
—
34,163523, 43
80 897
1024.79
281, 44
75^94
— —
80 909
4.113.179
253^30
—
—
—
80 911
2.9.5.29.31
—
—
94>i55!37i, 83
80 917
4.3.11.613
231,166
—
275. 4255°. 28
80 923
2.3-J3487
—
11,201
280, 29193,103
80 929
32.9.281
273. 80
127,180
89,156
178,104
QUADRATIC PARTITIONS.
199
p
p-1
a b
c d
A B
L M
80 933
4.20233
257,122
—
80 953| 8.3.3373
243,148
85,192
259, 68
55, IQ 9
80 9631 2.7.5783
105,187
—
—
80 989 4-3-I7-397
283, 30
—
281, 26
359< 85
81001
8.81. 125
51,280
143^74
149,140
569, 3
81013
4-3-43-157
183,218
—
205,114
410, 76
81017
8.13.19.41
19,284
165,164
—
—
81019
2.9.7.643
—
163,165
284, 11
3i7, 91
81023
2.17.2383
—
—
—
81031
2 -3-5-37-73
—
—
134,145
3°h 93
81041
16.5.1013
265,104
279, 40
—
—
81 043 2.3.13.1039
—
185,153
io4,i53
208,102
81047 2.49.827
—
—
—
81049 8.3. 1 1.307
165,232
169,162
19,164
473, 61
81071
2. 5. 121. 67
—
—
—
—
81077
4.20269
281, 46
—
81083
2.71.571
—
171,161
—
—
81097
8.3.31. 109
21,284
157,168
187,124
559, 21
81101
4.25.811
275> 74
—
—
81119
2-40559
—
—
—
—
81131
2.5.7.19.61
—
i4i,i75
—
—
81157
4-3- 6 763
129,254
—
155,138
310, 92
81163
2.243.167
—
19,201
284, 13
245, 99
81173
4.7.13.223
247,142
—
—
—
81181
4.9.5. 11. 41
91,270
—
247, 82
493, 55
81197
4-53-383
269, 94
—
—
—
81199
2-9- I 3-347
—
—
266, 59
443, 69
81203
2. 11. 3691
. —
279, 4i
—
—
81223
2.3 13537
—
—
250, 79
487, 57
81233
16.5077
97,268
285, 2
—
—
81239
2. 151. 269
—
—
—
—
81281
128.5.127
25,284
2i3, x 34
—
—
81283
2-3-I9-23-3 1
—
I5M7I
280, 31
373, 83
81 293
4.20323
157,238
—
—
—
81299
2.7.5807
201,143
—
—
81307
2.9.4517
—
253, 93
40,163
529, 4i
81 331
2.3.5.2711
—
23,201
284, 15
568, 10
81343
2.9.4519
—
—
86,157
385, 81
81 349
4.3-6779
193,210
—
101,154
361, 85
81353
8.10160
277, 68
285, 8
—
—
200
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
81359
2.19.2141
—
—
81 371
2.5.79.103
—
267, 71
— —
81 373
4.3.6781
43,282
—
199,118553, 27
81401
8.25.11.37
275, 76
117,184
— —
81409
512.3.53
255,128
241,108
161,136247, 99
81421
4-3-5- 2 3-59
285, 14
—
239, 90478, 60
81439
2.3.49.277
—
—
214,109
54i, 35
81 457
16.3.1697
239,156
275, 54
263, 64
71,109
81463
2-3-13577
—
—
106,153
212,102
81 509
4.7.41. 71
65,278
—
—
81517
4-3-6793
189,214
—
145,142
57i, 1
81527
2.40763
—
—
—
—
81533
4.11.17.109
283, 38
—
—
—
81547
2.3-i359i
—
283, 27
148,141
296, 94
81551
2.25.7.233
—
—
—
—
81 553
16.3.1699
87,272
281, 36
271, 52
427, 73
81559
2.9.23.197
—
—
194,121
169,105
81563
2.I3-3I37
—
285, 13
—
—
81569
32.2549
215,188
261, 82
—
—
81611
2.5.8161
—
93, T 9i
—
—
81619
2.3.61.223
—
121,183
76,159
152,106
81629
4.20407
277, 7o
—
—
—
81637
4.3.6803
81,274
—
i33, J 46
305, 93
81647
2.40823
—
—
—
—
81649
16.729.7
57,280
89,192
3^164
461, 65
81667
2.9.13.349
—
233,117
280, 33
560, 22
81671
2.5.8167
—
—
—
—
81677
4.7.2917
131,254
—
—
—
81689
8.10211
283, 40
9,202
—
—
81701
4.25.19.43
175,226
—
—
—
81703
2.27.17.89
—
—
274, 47
133,107
81707
2.40853
—
237,H3
—
—
81727
2-3-53- 2 57
—
—
130,147
260, 98
81737
8.17. 601
149,244
285, 16
—
—
81749
4.107. 191
185,218
—
—
—
81761
32.5.7-73
119,260
219,130
—
—
81769
8.3.3407
237,160
209,138
269, 56
437, 7i
81773
4.20443
67,278
—
—
—
81799
2.3-13633
—
— 286, 1
289, 95
81817
8.3.7.487
219,184
247,102
283, 24
566, 16
QUADRATIC PARTITIONS.
201
P
p-l
A B
L M
81839
81847
81853
81869
81883
81899
81901
81919
81929
81931
81937
81 943
81953
81967
81971
81 973
82 003
82 007
82 009
82 013
82 021
82 031
82 037
82 039
82 051
82 067
82 073
82 129
82139
82 141
82 153
82163
82 171
82183
82189
82 193
82 207
82 217
82 219
82 223
2.17.29.83
2.9.4547
4-3-'9-359
4.97.211
2.9.4549
2.40949
4.9.25.7.13
2.27.37.41
8.49.11.19
2-3-5- 2 73i
16.9.569
2.3.7. 1951
32.13.197
2.3.19.719
2.5.7.1171
4.81. 11. 23
2-3-79-I73
2.131-313
8.9.17.67
4.7.29. 101
4.3-S-I367
2.5. 13.631
4.20509
2. 3. 121. 113
2.3.25-547
2. 37.1109
8.10259
16.3.29.59
2.7.5867
4.3.5.37.37
8.9.7.163
2.41081
2. 9.5. 11. 83
2.3.13697
4.27.761
16.1 1.467
2.9.4567
8.43.239
2.3.71. 193
2.49.839
283, 42
115,262
285, 26
245,148
279, 64
143,248
153*242
285, 28
203,202
15,286
199,206
197,208
223,180
269, 69
261, 83
189,152
277, 5 1
217,132
255, 92
273, 61
281, 39
91,192
103,189
87,193
279, 46
61,198
117,185
171,230
243,152271, 66
— 129,181
37,201
125,258
193,212
179,224
285, 22
273, 62
259, 87
278, 39
185,126
260, 69
193,122
266, 61
16,165
33, 96
286, 7
170,133
556, 26
37o, 84
520, 46
i73»i°5
83,109
32,110
233, 9 6 466, 64
307, 93
275, 46
224,103
197,120
229,101
137,107
85,109
394, 80
277, 42|554, 28
286, 9:572, 6
232, 971523, 45
73,160
121,150
211,112
248, S3
250, 81
271, 54
5°, l6 3
188,125
553, 29
242,100
547, 33
497, 55
5o°, 54
542, 36
439, 7i
563, 21
2d
202
QUADRATIC PARTITIONS.
p
P -l
a be d
A B
L M
82 231
2.3.5.2741
—
—
166,135
332, 90
82 237
4.3.7.11.89
21,286
—
263, 66
526, 44
82 241
64-5- 2 57
121,260
267, 74
—
82 261
4-9-5-457
231,170
— J253, 78
5°6, 52
82 267
2.3.13711
—
283, 33268, 59
91,109
82 279
2-9-7-653
—
— 274, 49
421, 75
82 301
4.25.823
85,274
—
—
—
82 307
2.7.5879
—
135^79
—
82 339
2-3- I 37 2 3
—
167,165
196,121
559, 25
82 349
4.7-I7.I73
275, 82
—
—
—
82 351
2.27.25.61
—
—
26,165
52,110
82 361
8.5.29.71
269,100
2i3, r 36|
—
82 373
4-20593
287, 2
—
—
—
82 387
2.9.23.199
—
287, 3
68,161
55 1 , 3i
82 393
8-3-3433
283, 48
265, 78
205,116
i43> 10 7
82 421
4.5^3.3i7
25,286
—
—
—
82 457
8.11.937
259,124
75,^6
—
—
82 463
2.41231
—
—
—
—
82 469
4.53.389
287, 10
—
—
—
82 471
2.3-5-2749
—
—
286, 15
572, 10
82 483
2.3-59-233
—
41,201
200,119
557, 27
82 487
2.41243
—
—
—
—
82 493
4-4i. 5°3
187,218
—
—
—
82 499
2.13.19.167
—
9,203
—
—
82 507
2-3- I 375 I
—
I55,i7i
280, 37
39i, 81
82 529
32.2579
145,248
177,160
—
—
82 531
2.9.5.7.131
—
287, 9
284, 25
209,103
82 549
4.9.2293
55,282
—
221,106
97,109
82 559
2.7.5897
—
—
—
—
82 561
128.3.5.43
281, 60
277, 54
287, 8
3*Ij 93
82 567
2. 27. 11. 139
—
—
82,159
164,106
82 571
2.5-23-359
—
261, 85
—
—
82 591
2.3-5-2753
—
—
238, 93
476, 62
82 601
8.25.7-59
251,140
51,200
—
—
82 609
16.3. 1721
175,228
211,138
191,124
181,105
82 613
4.19.1087
73,278
—
—
—
82 619
2. 101.409
—
237,u5
—
—
82 633
8.3.11.313
93,272
65,198
259, 72
518, 48
82 651
2.3.25.19.29
—
43,201
172,133
57i, 13
82 657
32.9.7.41
271, 96
287, 12
i43,i44 !
286, 96 1
QUADRATIC PARTITIONS.
203
p
p-1
a b
c d
A B
L M
82 699
2. 3.7. 11. I79
— 229,123
32,165
64,110
82 721
32.5.II.47
239,160273, 64
—
—
82 723
2. 3.I7. 8ll
—
241,111
260, 71
473, 63
82 727
2.7.I9.3II
—
—
—
—
82 729
8.27.383
123,260
269, 72
77,160
403, 79
82 757
4 I7.I217
31,286
—
—
—
82 759
2.3.I3.I061
—
—
214,111
428, 74
82 763
2.41381
—
99,191
—
—
82 781
4.5-4I39
235,166
—
—
—
82 787
2.11. 53.7I
—
183,157
—
—
82 793
8.79.I3I
283, 52
285, 28
—
—
82 799
2.41399
—
—
—
—
82 811
2.5.49.I3.I3
—
243,109
—
—
82 813
4.3.67.IO3
277, 78
—
89,158
563, 23
82 837
4.27-I3-59
201,206
—
13,166
5", 5i
82 847
2. 23.1801
—
—
—
— ' "" ■
82 883
2.29.I429
—
225,127
—
— -- •
82 889
8.I3.797
67,280
129,182
—
—
82 891
2.27.5.307
—
107,189
io4,i55
569, 17
82 903
2-3-4I-337
—
—
226,103
535, 4i
82 913
32.2591
247,148
261, 86
—
—
82 939
2.3.23.60I
—
83,195
208,115
553, 3i
82 963
2.9.II.419
—
271, 69
280, 39
560, 26
82 981
4.9.5.461
255>i34
—
203,118
i5 r , I0 7
82 997
4.20749 89,274
—
—
—
83 003
2.47.883
—
165,167
—
—
83 009
64.I297
95*272
111,188
—
—
83 023
2.3.IOI. I37
—
—
194,123
388, 82
83 047
2.3.I3841
—
—
182,129
364, 86
83 059
2.3. IO9.I27
—
247,105
272, 55
107,109
83 063
2.7.17.349
—
—
—
—
83 071
2.9.5.I3.7I
—
—
58,163
547, 35
83 077
4.3.7.23.43 111,266
277, 46
415, 77
1 :
83 089
16.9.577 215,192 233,120
49,164
443, 7i
1
83 093
4.20773 263,118
—
—
83101
4.3.25.277 101,270
233, 98
527, 45
83117
4.II.1889 179,226
—
—
—
83 137
64.3.433 191,216
97,192
287, 16
239,101
83 177
8.37.281 269,104
207,142
—
—
83 203
2.3.49.283
—
49,201
164,137
575, 9
204
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
83 207
2.41603
—
—
—
—
83 218
2.41609
—
249,103
—
83 221
4.3-S-*9-73
265,114
67,162 134,108
83 227
2.3.11.13.97
—
277, 57
232, 99464, 66
83 231
2.5.7.29.41
—
—
—
—
83 233
32.9.17.17
17,288
1,204
145^44
290, 96
83 243
2.41621
—
75,197
—
—
83 257
8.3.3469
51,284
5,204
245, 88
19,111
83 267
2.17. 31. 79
—
153.173
—
—
83 269
4.81.257
287, 30
139,146
299, 95
83 273
8.7.1487
107,268
285, 32
—
—
83 299
2-3-13883
—
191,153
244, 89
23,111
83 311
2.3-5-2777
—
—
106,155
359, 87
83 339
2.41669
—
219,133
—
—
83 341
4-9-5-463
285, 46
—
287, 18
574, 12
83 357
4.7.13.229
91,274
—
—
—
83 383
2.3.13.1069
—
—
286, 23
217,103
83 389
4.3.6949
267,110
—
217,110
113,109
83 399
2.49-23-37
—
—
—
—
83 401
8.3-25-139
85,276
13,204
133,148
577, 5
83 407
2.3.13901
—
—
242, 91
$M«
83 417
8.10427
229,176
183,158
—
—
83 423
2.53-787
—
—
—
—
83 431
2.81. 5.103
—
—
266, 65
461, 67
83 437
4.3.17.409
221,186
—
223,106
54i, 39
83 443
2.3.13907
—
209,141
280, 41
157,107
83 449
8.9.19.61
235,168
71,198
i57,i4o
263, 99
83 459
2.41729
—
279, 53
—
—
83 471
2.5.17.491
—
—
—
—
83 477
4.41.509
41,286
—
—
—
83 497
8.3.49.71
261,124
205,144
53,i64
545, 37
83 537
16.23.227
289, 4
285, 34
—
—
S3 557
4.9.11.211
289, 6
—
283, 34
385, 83
83 561
8.5.2089
155,244
147,176
—
—
83 563
2-3- I 9-733
—
275, 6 3
160,139
577, 7
33 579
2. 1 1. 29.131
—
123,185
—
—
83 591
2.5.13.643
—
—
—
—
83 537
4.20899
269,106
—
—
—
83 609
8.7.1493
253^40
261, 88
—
—
83 617
32.3.13.67
279, 76
283, 42
103,156
206,104
QUADRATIC PARTITIONS.
205
f
p-
A B
L M
83 62l! 4 .5.37.ii3
83 639, 2.19.31.71
83 6411 8 3.5. 1 7.41
83 653 4.3.6971
83 663 2.59.709
83 689
83 701
83 717
83 719
83 737
83 773
83 777
83 791
83 813
83 833
83 843
83 857
83 869
83 873
83 891
83 903
83 911
83 921
83 933
83 939
83 969
83 983
83 987
84 011
84 017
84 047
84 053
84 059
84 061
84 067
84 089
84121
84127
84 131
8.3.11.317
4.27.25.31
4.20929
2.9.4651
8.9.1163
83 761 16.3.5.349
4.9-13-179
64.7.11.17
2.9.5.49.19
4.23.911
8.3.7.499
2.11. 37.103
16. 3.1747
4.3-29-241
32.2621
2.5.8389
2.7. 13.461
2-3-5-2797
16.5. 1049
4.20983
2.41969
2048.41
2-3-!3997
2.49.857
2.5.31. 271
16.59.89
2.42023
4.21013
2.13-53-61
4.9-5-467
2.3.14011
8.23-457
8.3.5.701
2.3.7.2003
2.5.47.179
289, 10
205,204187,156
207,202 —
283, 60221,132
199,210 —
289, 14 —
251,144
r 35>256
123,262
289, 16
287, 38
1267,112
119,264
165,238
233*172
289, 20
283, 62
287, 40
239,164
263,122
219,190
275> 92
189,220
73>i98
23,204
273, ^
121,186
255, 97
25,204
219,134
279, 55
93,194
277, 48
229,102
83,160
163,138
2 38, 95
275, 52
281, 40
71,162
46,165
221,108
554, 32
458, 68
39,203
63,200
105,191
213,139
237,118
215,112
263, 70
278, 47
3,205
!93,i53
267, 80
139,180
9,205
286, 27
397, 81
326, 92
47,111
119,109
161,107
142,108
92,110
442, 72
121,109
53,ni
4i9, 77
572, 18
73,162
20,167
187,128
290, 3
146,108
521, 49
i97,io5
580, 2
206
QUADRATIC PARTITIONS.
p
P -i
a b
c d
A B
L M
84137
8.13.809
59,284
243,112
—
—
84 143
2.42071
—
—
—
—
84 163
2.3 i3- x 3' 8 3
—
281, 51
80,161
563, 27
84179
2.42089
—
81,197
—
—
84181
4.3.5.23.61
9,290
—
253* 82
499, 57
84191
2.5.8419
—
—
—
—
84199
2-3-14033
—
—
254, 81
508, 54
84 211
2.3.5.7.401
—
113,189
248, 87
496, 58
84 221
4.5.4211
11,290
—
—
—
84 223
2.9.4679
—
—
266, 67
65,111
84 229
4.3.7019
177,230
—
277, 5°
127,109
84 239
2.7. 11. 547
—
—
—
—
84 247
2-3-I9-739
—
—
290, 7
269, 99
84 263
2.42131
—
—
—
—
84 299
2H3-373
—
99>!93
—
—
84 307
2.3.14051
—
263, 87
92,i59
184,106
84 313
8.9.1 171
37,28821
179,132
358, 88
84 317
4.io7-i97
251,146
—
—
—
84 319
2.3.13.23.47
—
—
286, 29
199,105
84 347
2. 181.233
—
165,169
—
—
84 349
4.27. 11. 71
107,270
—
41,166
457, 69
84 377
8.53-I99
61,284
117,188
—
—
84 389
4.I7.I7-73
17,290
—
—
—
84 391
2-3-5- 2 9-97
—
—
146,145
289, 97
84 401
16.25. 211
185,224
87,196
—
—
84 407
2.7.6029
—
—
—
—
84 421
4.9.5.7.67
289, 30
—
283, 38
169,107
84 431
2-5-8443
—
—
—
—
84 437
4.11.19.101
281, 74
—
—
—
84 443
2.42221
45*203
—
—
84 449
32.7.13.29
175*232
159,172
—
—
84 457
8.27.17.23
91,276
35,204
107,156
214,104
84 463
2.3.7.2011
—
—
290, 11
323, 93
84 467
2.157.269
—
177,163
—
—
84 481
512.3-5.11
225,184
257, 9 6
137,148
307, 95
84 499
2.3.14083
■ —
239,117
268, 65
73, 111
84 503
2. 11. 23. 167
—
—
—
—
84 509
4-37-57 1
85,278
—
—
—
84 521
8.5-2113
211,200
111,190
—
—
84 523
2.3.14087
—
61,201
224,107
545, 39
QUADRATIC PARTITIONS.
207
p
p-1
a b
c d
A B
L M
84 532
84 551
4.7.3019
2.25.19.89
167,238 —
—
—
84 55S
84 588
84 629
2.3.17.829
4-3-7- I 9-53
4-2H57
285, 5*
23,29c
i —
—
i34,i4S
241, 94
>58i, 5
•523, 49
84 631
84 649
84 653
2 -3-5-7.i3-3i
8-3.35 2 7
4.21163
243,16c
227,182
79,198
262, 73
269, 64
481, 63
77,111
84 659
84 673
2.7.6047
64.27.49
287, 48
153,175
289, 24
1,168
2,112
84 691
84 697
2.9.5.941
8.3-3529
291, 4
271, 75
283, 48
32,167
5,168
533, 45
10,112
84 701
84 713
84 719
4-25.7-121
8.10589
2-42359
149,250
283, 68
291, 4
—
—
84 731
84 737
84 751
84 761
2.5.37.229
256.331
2.3.125.113
8.5.13.163
281, 76
131,260
291, 5
267, 82
69,200
178,133
577, 15
84 787
2.3.13.1087
—
185,159
128,151
325, 93
84 793
84 809
8-3-3533
8.10601
43,288
235^72
281, 54
291, 8
11,168
22,112
84 811
84 827
84 857
2.3.5.11.257
2.7.7383
8.10607
139,256
227,129
75, J 99
57,202
56,165
112,110
84 859
84 869
2-3- I 4i43
4-49-433
287, 50
149b 1 {7
164,139
253,101
84 871
84 913
84 919
2.9.5.23.41
16.3.29.61
2-3 -14153
153,248
41,204
23^, 97
65,164
206,119
529, 47
557, 33
563, 29
84 947
84 961
2.42473
32.9-5-59
81,280
225,13!
287, 36
17,168
34,n2
84 967
84 977
84 979
2. 3.49.17. 17
16.47.113
2.9.4721
241,164
147,178
289, 27
290, 17
148,145
34i, 91
583, 1
84 991
85 009
85 021
85 027
2 -3-5-2833
16. 3. 7. 11. 23
4.3-5- I 3-i°9
2-3-37-383 1
105,272
261,130
169,168
— 1
65,201
142,147
I5M44'
167,138
280, 47
284, 98
302, 96
334, 92
139,109
85 037
4-7-3037
259,134
—
—
—
208
QUADRATIC PARTITIONS.
V
p-1
a b
c d
A B
L M
85 049
8.10631
115,268
261, 92 —
—
85 061
4.5-4253
31,290
— —
—
85 081
8.3.5.709
291, 20
43,204 91,160
57i, 23
85 087
2.9.29.163
—
— 1278, 5 1
556, 34
85 091
2.5.67.127
—
129,185
—
85 093
4.3.7. 1013
257,138
—
101,158
575, 19
85 103
2.17.2503
—
—
—
—
85109
4.21277
265,122
—
—
—
85121
128.5.7.19-
289, 40
177,164
—
—
85 133
4.21283
163,242
—
—
—
85 147
2.3.23.617
—
275, 69272, 61
89,111
85159
2.27.19.83
—
—
86,161
569, 25
85 193
8.23.463
277, 92
291, 16
—
—
85 199
2.41. 1039
—
—
—
—
85 201
16.3.25.71
95>276
i57,i74
23,168
46,112
85 213
4.81.263
267,118
—
215,114
43°, 76
85 223
2.42611
—
—
—
—
85 229
4.11. 13.149
275> 98
—
—
—
85 237
4-3-7 io 3
279, 86
—
227,106
91,111
85 243
2.3.14207
—
205,147
160,141
320, 94
85 247
2.7.6089
—
—
—
—
85 259
2.47.907
—
291, 17
—
—
85 297
16.3.1777
209,204
83,198
25,168
50,112
85 303
2.9.7.677
—
—
130,151
583, 7
85 313
&4.3M3
7,292
21,206
—
—
85 331
2.5-7-23.53
—
183,161
—
—
85 333
4.3- I 3-547
137,258
—
259, 78
518, 52
85 361
16.5.11.97
281, 80153,176
—
—
85 363
2.3.41.347
— I265, 87
220,111
440, 74
85 369
8-3-3557
213,200263, 90
163,140257,101
85 381
4.3.5.1423
175,234' —
283, 42
566, 28
85 411
2.9-5' I 3-73
— 1287, 39
292, 7
3i3, 95
85 427
2. 121.353
— 255,101
—
—
85 429
4.27.7.113
215,198 —
269, 66
538, 44
85 439
2.42719
—
—
85 447
2.9.47. 101
. —
—
98,159
196,106
85 451
2.25.1709
—
237,121
—
—
85 453 4.3.7 121
77,282
—
209,118
145,109
85 469 4.23.929
37,290
—
—
—
85 487
2.42743
—
—
—
—
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
85 513
8.3.7.509
117,268
259, 96
29,168
58,112
85 517
4.21379
61,286
—
—
85 523
2.61. 701
—
io 5, j 93
—
—
85 531
2.3.5.2851
—
187,159
116,155
581, 13
85 549
4.3.7129
195,218
—
289, 26
211,105
85 571
2.5.43.199
—
39,205
—
—
85 577
8.19.563
259>i3 6
63,202
—
—
85 597
4.3.7.1019
219,194
—
263, 74
485, 63
85 601
32.25.107
265,124
27,206
—
—
85 607
2. 23.1861
—
—
—
85 619
2.13.37.89
231,127
—
—
85 621
4-3-5- I 427
39,290
—
83,162
166,108
85 627
2.9.67.71
—
197,153
292, 11
259,101
85 639
2.3.7.2039
—
—
242, 95
527, 49
85 643
2.42821
—
285, 47
—
85 661
4.5.4283
181,230
—
—
—
85 667
2. 7. 29.211
—
57,203
—
—
85 669
4.3.121.59
113,270
—
187,130
577, 19
85 691
2.5. 11. 19.41
—
147,179
—
—
85 703
2.73587
—
—
—
—
85 711
2.3-5- 2 857
—
—
278, 53
437, 75
85 717
4.9.2381
249>i54
—
275, 58
101,111
85 733
4-21433
287, 58
—
—
85 751
2-125.343
—
—
—
—
85 781
4.5.4289
41,290
—
—
—
85 793
32.7-383
23,292
261, 94
—
—
85 817
8.17.631
269,116
123,188
—
—
85 819
2-3-i43°3
—
11,207
224,109
103,111
85 829
4-43-499
223,190
—
—
—
fc5 831
2.3.5.2861
—
—
218,113
557, 35
85 837
4.3.23.311
291, 34
—
287, 34
185,107
85 843
2.9.19.251
—
71,201
100,159
200,106
85 847
2.42923
—
—
—
85 853
4.13.13.127
293, 2
—
—
—
85 889
128 11. 61
25,292
117,190
—
—
85 903 2.3. 103. 139
—
—
286, 37
397, 83
85 909 1 4-3-7159
153,250
—
*79, J 34
581, 15
85 931 2.5.13.661
—
291, 25
—
—
85 933 4.9.7.11. 31
93,278
—
239, 98
533, 47
85 991
2-5-8599
—
—
—
2e
210
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
85 999
2.3.11.1303
—
—
118,155
347, 9 1
86 011
2.3.5.47.61
—
293> 9
212,117
424, 78
86 017
4096.3.7
281, 84
245,114
73^64
4i9, 79
86 027
2.43013
—
285, 49
—
—
86 029
4.3.67.107
275,102
—
223,110
107,111
86 069
4.215x7
263,130
—
—
—
86 077
4.27.797
261,134!
217,114
434, 76
86 083
2.3.14347
—
121,189
20,169487, 63
86111
2.5.79.109
—
—
—
—
86 113
32.913.23
207,208289, 36
i75^3 6
583, 13
86117
4.21529
209,206 —
—
—
86131
2. 27. 5. 11. 29
; 73>2oi
292, 17
241,103
86137
8.3.37.97
211,204293, 12
277, 5 6
109,111
86 143
2.3.49.293
— —
146,147
292, 98
86 161
16.3.5.359
169,240281, 60
143,148
301, 97
86171
2.5.7. 1231
—
261, 95
—
—
86179
2.3.53-271
—
223,135
152,145
283, 99
86 183
2.41.1051
—
—
—
—
86197
4.3- II -653
201,214 —
253, 86
5,U3
86 201
8.25.431
235,176249,110
—
—
86 209
64.3.449
185,228
203,150
97,160
577, 21
86 239
2.27.1597
—
—
274, 61
457, 7i
86 243
2.13.31.107
—
255>i°3
—
—
86 249
8.10781
293, 20
291, 28
—
—
86 257
16.9.599
199,216
55.204
287, 36
574, 24
86 263
2.3.11.1307
—
—
250, 89
I7,n3
86 269
4.3.7.I3.79
245,162
—
i37,i5o|274,ioo
86 287
2.3-73.I97
—
—
290, 271580, 18
86 291
2.5.8629
—
279, 65
— —
86 293
4.27.17.47
217,198
—
211,118565, 31
86 297
8.7.23.67
229,184
105,194
86 311
2.9.5.7.I37
—
—
158,1431587, 5
86 323
2.3.M387
—
25,207
260, 79 23,113
86 341
4-3-5- I 439
255,146
—
107,158581, 17
86 351: 2.25. n. 157
—
—
—
—
86 353 16.3.7.257
33> 2 92
131,186
41,168
82,112
86 357, 4-21589
281, 86
—
—
—
86 369 32.2699
137,260
69,202
—
—
86 371! 2.3.5.2879
—
167,171
52,167449, 73
86 381
4.5.7.617
125,266
—
~
—
QUADRATIC PARTITIONS.
211
p
P -l
a b
c d
A B
L M
86 389; 4.3-23-3I3
183,230
61,166
559, 35
86 399 2.13.3323
—
—
—
86 413 i 4-3-I9-379
83,282
— 161,142
265,101
86 423J 2.7.6173
—
—
—
—
86 441 8.5. 2161
275, IQ 4
177,166
—
—
86 453 4-21613
167,242
—
—
—
86 461 !4.3-5-".i3i
5,294
—
281, 50
43i, 77
86 467
2.3.14411
—
263, 93
28,169
535, 47
86 477
4.13.1663
221,194
—
—
86 491
2.9.5-3 I -3 I
—
I79,i65
112,157
583, 15
86 501
4-125.173
49,290
—
—
—
86 509
4.243.89
253 3 i5
—
271, 66
542, 44
86 531
2.5.17.509
—
159,175
—
86 533
4.3-7211
193,222
—
245, 94
37,U3
86 539
2.3.14423
—
29,207
164,141
328, 94
86 561
32.5.541
145,256
81,200
—
—
86 573
4.23.941
173,238
—
—
—
86 579
2-73-593
—
129,187
—
—
86 587
2.3.14431
—
283, 57
292, 21
584, 14
86 599
2.9.17.283
—
—
94,161
389, 85
86 627
2.43313
—
183,163
—
—
86 629
4.3.7219
273,110
—
181,134
221,105
86 677
4.3-3I-233
279, 94
—
205,122
161,109
86 689
32.9.7-43
233,180
91,198
167,140
587, 9
86 693
4.21673
97,278
—
—
86 711
2.5.13.23.29
—
—
—
—
86 719
2.3.97.149
—
—
226,109
553, 39
86 729
8 -37-293
277,100
291, 32
—
86 743
2.9.61.79
—
—
266, 73
47,n3
86 753
32.2711
113,272
15,208
—
86 767
2.3.14461
—
—
142,149,
305, 97
86 771
2.5.8677
—
87,199
—
86 783
2.43391
—
—
—
—
86 813
4.11.1973
283, 82
—
—
—
86 837
4-17-1277
71,286
—
—
—
86 843
2.7.6203
—
285, 53
—
—
86 851
2.9.25 193
—
217,141
292, 23
223,105
86 857
8.3.7.11.47
131,264
257,102
157,144.
314, 96
86 861
4.5. 43.101
275,106
—
—
86 869
4.9.19.127
135,262
—
i3,!7o<
*97, 61
212
QUADRATIC PARTITIONS.
V
p-1
d A B
L M
86 923
86 927
86 929
86 939
86 951
86 959
86 969
86 981
86 993
87 011
87 013
87 037
87 041
87 049
87 071
87 083J
87 103|
87107
87 119
87121
87133
87149
87151
87179
87 181
87187
87 211
87 221
87 223
87 251
87 253
87 257
87 277
87 281
87 293
87 299
87 313
87 317
87 323
87 337
2.9.11.439
2.49.887
16.3. 1811
2.17-2557
2.25.37.47
2.9.4831
8-7-1553
4-5-4349
16.5437
2.5.7. 11. 113
4.9.2417
4-3-7253
1024.5. 17
8.27.13.31
2.5.8707
2.43541
2.27. 1613
2.97.449
2.43.1013
16.9.5. 121
4-3-53-I37
4.21787
2.3-25-7.83
2.7.13.479
4.3-5I4S3
2.3.11.1321
2.27.5.17.19
4.5.49.89
2-3-14537
2.125.349
4.3.11.661
8.13.839
4-3-7-i°39
16.5. 1091
4-i39-!57
2.43649
16.3.17.107
4.83.263
2.43661
8.9.1213
255,148
205,212
241,170
287, 68
143,258
229,186
295, 4
93,280
35,207
221,138
261, 97
21,208
184,133
79,164
122,155
583, 17
413, 81
587, 11
289, 60
277,102
157,250
291, 50
295, 14
247,162
221,196
29,294
295, 16
293, 3^
183,232
151,254
251,156
291, 34
273, 79;
— 91,162182,108
— 295, 2J289, 99
171,170 — —
289, 42293, 20353, 9i
165,173 —
— , 86,163
177,167 —
163,174239,100
— 295, 6
J 74,i65
69,203 —
— 191,130
295, 9208,121
181,165256, 85
207,149
27,208
183,164
57,205
295, 12
254, 87
259, 82
127,154
271, 68
i95,i57
253,108203,124
403, 83
61,113
59o, 4
148,110
i99,io7
57i, 29
5ii, 57
508, 58
505, 59
589, 9
67,113
169,109
QUADRATIC PARTITIONS.
218
P
p-1
A B
L M
87 359
87 383
87 403
87 407
87 421
87 427
87 433
87 443
87 473
87 481
87 491
87 509
87 511
87 517
87 523
87 539
87 541
87 547
87 553
87 557
87 559
87 583
87 587
87 589
87 613
87 623
87 629
87 631
87 641
87 643
87 649
87 671
87 679
87 683
87 691
87 697
87 701
87 719
87 721
87 739
2.31. 1409
2.43691
2.3.7.2081
2. 11. 29. 137
4-3-5-3I-47
2.27. 1619
8-3.3643
2.43721
16. 7. 11. 71
8.5.27.81
2.5.13.673
4.131.167
2.3.5.2917
4.9.11.13.17
2.3.29.503
2.11. 23.173
4.3.5.1459
2.3.14591
512.9.19
4.7.53.59
2-3-I4593
2.3.11.1327
2-43793
4.27. 811
4.3.49.149
2.193.227
4.i9.ii53
2.3.5.23.127
8.5-7.313
2.81. 541
32.3.11.83
2.5.11.797
2.9.4871
2.7.6263
2.3.5.37.79
16.27.7.29
4.25.877
2. 61. 719
8.3.5.I7.43
2.3.7.2089
75,286
67,288
47,292
141,260
j295, 22
181,234
121,270
287, 72
191,226
7116,157
263, 78
143,183212,119
95,198229,108
9,209 —
51,200 —
1 97 > i5 6 53,i68
153,179 —
— I 62,167
— 247, 94
265, 93236,103
145,258
293, 42
227,190
5,296
265,132
249,H3 —
I 29,170
43,207172,139
271, 84265, 76
355, 9i
526, 52
569, 31
458, 72
106,112
563, 35
529, 5 1
73,H3
15,209
9,296
295, 26
261,140
279, 70
251,111
293, 30
194,129
190,131
283, 50
295, 14
231,13!
83,201
215,144
67,204
211,147
266, 75
296, 3
121,156
202,125
296, 5
55,i68
539, 47
589, 11
493, 63
388, 86
203,107
i33,in
253,103
532, 50
592, 2
242,104
173,109
3ii, 97
110,112
211,120
4,171
422, 80
8,114
214
QUADRATIC PARTITIONS.
p
p—l
a b
c d
A B
L M
87 743
2.19.2309
—
—
—
87 751
2.27. 125.13
—
—
274, 65 79,113
87 767
2.7.6269
—
—
— —
87 793
l6 -3-3i-59
207,212
275, 78
295, 16343, 93
87 797
4.47.467
281, 94
—
87 803
2. 11. 13.307
—
21,209
87 811
2.3.5.2927
—
i93,i59
268, 73487, 65
87 833
8.10979
283, 88201,154
— —
87 853
4-3-7321
237,178; —
289, 38 175,109
87 869
4.11.1997
187,230, —
—
—
87 877
4.9.2441
289, 66 —
293, 26
37i, 89
87 881
8.5.13.13.13
85,284291, 40
—
—
87 887
2.43943
—
—
—
—
87 911
2.5.59.149
—
—
—
—
87 917
4.31.709
131,266
—
—
87 931
2.9.5.977
—
109,195
152,147
304, 98
87 943
2.3.14657
—
—
110,159
220,106
87 959
2. 13.17. 199
—
—
—
—
87 961
8.3.5.733
219,200
137,186
197,128
581, 23
87 973
4.3.7331
177,238
—
155,146)593, 3
87 977
8.7.1571
19,296
273, 82
—
—
87 991
2.3.5.7.419
—
—
178,137
233, io 5
88 001
64.125. 11
199,220
213,146
—
—
88 003
2.9.4889
—
145,^3
140,151
3 r 3, 97
88 007 2.79-557
—
—
—
—
88 019 2.7.6287
—
63,205
—
—
88 037
4.13.1693
79,286
—
—
—
88 069
4.3.41. 179
63,290
—
37,i7o473, ^9
88 079
2-47-937
—
—
— —
88 093
4.9.2447
197,222
—
185,134587, 17
88117
4.3.7.1049
41,294
—
H5,i58359, 9i
88129
64.81.17
255^52
289, 48
161,144
322, 96
88169
8. 103. 107
275,112
81,202
—
—
88 177
16. 3. 11. 167
281, 96
295, 24
287, 44
419, 81
88 211
2.5.8821
—
297, 1
88 223
2.44111
. —
—
88 237
427.19.43
269,126
—
257, 86515, 57
88 241
16.5.1103
25,296
297, 4
—
—
88 259
2.44129
—
297, 5
—
—
88 261
4-3-5- I 47i
225,194
—
277, 62
9i, JI 3
QUADRATIC PARTITIONS.
215
p
^-1
a b
c d
A B
L M
88 289
32.31.89
55 5 2 9 2
219,142
—
—
88 301
4.25.883
II5.274
—
—
—
88 321
256.3.5.23
295. 36
11,210
289, 4°'4°9. 83
88 327
2.9.7.701
—
—
262, 81
524, 54
88 337
16.5521
15^256
297, 8
—
—
88 339
2.3.14723
—
241,123
196,129392, 86
88 379
2.44189
—
291. 43
—
—
88 397
4.49.11.41
259,146
—
—
—
88 411
2.3.5.7.421
—
I73,i7i
188,133211,107
88 423
2-3-14737
—
—
286, 47
I45, 111
88 427
2.13.19.179
—
237,127
—
—
88 463J 2. ii. 4021
—
—
—
—
88 469
4.17. 1301
295. 38
—
—
—
88 471
2.9.5.983
—
238,103547, 45
88 493
4.22123
173,242
—
—
—
88 499
2.44249
—
279. 73: —
—
88 513
64.3.461
57.292
I39,!86 151,148
595. 1
88 523
2.7.6323
—
261,101 —
—
88 547
2.44273
—
297, 13 —
—
88 589| 4.22147
67,290
— —
—
88 591 2.3.5.2953
• —
— 218,1 17
436, 78
88 6071 2.7.6329
—
— —
—
88 609
32-3-I3-7 1
297, 20
101,198 89,164
581, 25
88 643
2.23.41.47
—
!o5.!97 —
—
88 651
2.9.25.197
—
253,111 208,123
416, 82
88 657 16.3.1847
279,104
265, 96247, 96
494. 64
8866ll4.5-n.13-3!
215,206
— —
—
88 663 2.3.7.2111
—
— 290, 39
580, 26
88 667 2.43. 1031
—
285, 61 —
—
88 681 8.3.5.739
205,216 209, 150 109, 160
589. 17
88 721 16.5.1109
265,136297, 16 —
—
88 729 8.3.3697
165,248 23,210173,140
593, 11
88 741; 4.9.5.17.29
255^54 — |22 9 ,IIO
101,113
88 747 2.3.7.2113
— 275, 8l 32,171
64,114
88 771 2. 3.5. 11. 269
— 263, 99236,105
472, 70
88 789 4-3-49- 15 1
295. 42 — 269, 74
49 1 , 65
88 793! 8. 1 1. 1009
187,232279, 74 —
• —
88 799 2. 29.1531
— — ; —
—
88801132.3.25.37
201,220283, 66 7,172
523, 55
88 807
2.3.19.19.41
—
—
298, 1
3 QI , 99
216
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
88 811
2.5.83.107
—
69,205
—
—
88 813
4.9.2467
3*298
—
289, 42
578, 28
88 817
16.7. 13.61
271,124
243,122
—
—
88 819
2.3.113.131
—
113,195
56,169
45i, 75
88 843
2.3.13.17.67
—
205.153
280, 59
103,113
88 853
4.97.229
7,298
—
—
88 861
4.3.5. 1481
69,290
—
217,118
57i, 33
88 867
2 -9 4937
—
287, 57
212,121 151,111
88 873
8.3.7.23.23
77,288
239,126
11,172505, 61
88 883
2.19.2339
—
39,209
88 897
64.3.463
249,164
277, 78
65,1681130,112
88 903
2.9. 1 1.449
—
—
166,143263,103
88 919
2.23.1933
—
—
—
—
88 937
8.1 1 1 17
91,284
237,128
—
—
88 951
2-3.25.593
—
—
298, 7
3i9, 97
88 969
8.3-II-337
285, 88
191,162
91,164
401, 85
88 993
32.27.103
297, 28
251,114
271, 72542, 48
88 997
4.19.1171
289, 74
—
—
—
89 003
2.44501
—
99,199
—
—
89 009
16.5563
103,280
297, 20
—
—
89 017
8.3.3709
139,264
103,198
277, 64
469, 71
89 021
4-5-445 1
85,286
—
—
—
89 041
163.5-7.53
225,196
29,210
17,172
499, 63
89 051
2.25.13.137
—
3,211
—
—
89 057
32.121.23
241,176
207,152
—
—
89 069
4.7.3181
163,250
—
—
—
89 071
2.3.5.2969
—
—
86,165
172,110
89 083
2.9.49.101
—
91,201284, 53
443, 77
89 087
2-44543
— —
—
89101
4.81. 25.11
195,226! — 49» I 7©
461, 73
89107
2.3.14851
— i75> T 7 I2 72, 71
485, 67
89113
8.3.47.79
123,2721169,174 19,172
535. 5i
89119
2.9.4951
— — 194,131
587, 21
89123
2. 11. 4051
9,211 —
—
89137
16. 9. 619
39,296233,132127,156
254,104
89153
64.7.199
257»I5«
111,196 —
—
89 189
4.11.2027
175,242
— —
—
89 203
2.3.14867
—
295. 33296, 23
365. 9i
89 209
8.27.7.59
147,260
181,168 221, 116
569, 35
89 213
4.22303
293. 58
—
—
—
QUADRATIC PARTITIONS.
217
p
p-1
a b
c d
A B
L M
89 227 2.9.4957
—
163,177
172,141344, 94
89 231! 2.5.8923
—
—
—
89 237i4.7-3i87
119,274
—
—
—
89 261
4-5-4463
269,130
—
—
89 269
4.3.43-I73
265,138
—
259, 86j 1,115
89 273
8.11159
277,112
231,134
—
—
89 293J4-3-7- io 63
237,182!
241,102
482, 68
89 303j 2.44651
— —
—
—
89 317 4-27-827
271,126 —
293, 34
191,109
89 329
16.3.1861
295, 48281, 72
289, 44
i57,in
89 363
2.7. 13.491
—
159,179
—
—
89 371
2.27. 5-33 1
—
197,159
292, 37
403, 85
89 381
4.5.41. 109
191,230
—
—
89 387
2. 11. 17.239
—
45,209
—
—
89 393
16.37. 151
167,248
279, 76
—
—
89 399 2.44699
—
—
—
—
89 413 4-3-7451
273,122
—
299, 2305, 99
89 417 8. 1 1 177
299, 4
285, 64
—
—
89 431, 2. 3.5. 11. 271
—
—
182,137
593, 15
89 443 2.9.4969
—
2i5»i47
76,167
425, 81
89 449 1 8.3.3727
293, 60
157,180
299, 4
287,101
89 459 2.44729
— 297, 25
—
—
89 477 4.22369
209,214 —
—
—
89 491 2.3.5.19.157
— 223,141
296, 25
221,107
89 501
4.125. 179
299, 10 —
—
—
89 513
8.67.167
133,268189,164
—
—
89 519
2.11.13-313
— < —
—
89 521
^■3-5-373
239,180211,150
i 9 3,i32; 3 86, 88
89 527
2-3-43-347
— —
62,169445, 77
89 533
4.27.829
27,298 —
i
121,158
353, 93
89 561
8.5.2239
155,256297, 26
—
—
89 563 2.3.11.23:59
— |2 9 9, 9
280, 61
463, 73
89 567
2.19.2357
— -
89 591
2. 5. 17. 17. 31
— —
—
—
89 597
4.13.1723
299, 14
—
—
—
89 599
2.3.109.137
—
—
286, 51
572, 34
89 603
2. 71. 631
—
129,191
—
—
89 611
2.3.5.29.103
— 1283, 69
268, 77
37,n5
89 627
2.41. 1093
— 123,193
—
—
89 633
32.2801
233,188
69,206
—
—
2f
218
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
89 653
4.3.31. 241
297, 38
— 205,126
410, 84
89 657
8.7.1601
299, 16153,182 —
—
89 659
2.9.17.293
— 1269, 93 44,171
88,114
89 669
4-29-773
145,262
—
89 671
2.3.5.49.61
—
— 1298, 17
247,105
89 681
16.5. 19.59
95,284
2 9 J , 5° —
—
89 689
8.3.37.101
285, 92
299, 12269, 76
4i,n5
89 753
8.13.863
67,292
261,104
—
89 759
2.44879
—
—
—
—
89 767
2.9.4987
—
—
118,159
236,106
89 779
2.3.13.1151
—
151,183 64,169
57i, 35
89 783
2.7. 121.53
—
— —
—
89 797
4.3.7.1069
159,254
— 277, 66
554, 44
89 809
16.3.1871
297, 40
247,120
209,124
163,111
89 819
2.44909
—
141,187
—
—
89 821
4.9.5.499
235,186
—
247, 98
47,u5
89 833
8.3.19.197
83,288
241,126
299, 12
598, 8
89 839
2.9.7.23.31
—
—
46,171
92,114
89 849
8.11.1021
107,280
249,118
—
—
89 867
2-343-I3 1
—
195,161
—
—
89 891
2.5.89. 101
—
297, 29 —
—
89 897
8.17.661
251,164
3,212 —
—
89 899
2.3.14983
—
293, 45 1I 9 6 , I 3i; I 97,i°9
89 909
4.7.13.13.19
247,170
—
—
—
89 917
4.3-59- I2 7
59,294
—
i37,i54
325, 97
89 923
2.3.7.2141
—
65,207
200,129
400, 86
89 939
2.193.233
—
111,197
—
—
89 959
2.3.11.29.47
—
—
278, 65
473, 7i
89 963
2.31. 1451
—
51,209
—
—
89 977
8.3.23.163
299, 24
263,102
35, J 72
481, 69
89 983
2.9.4999
—
—
i4,i73
533, 53
89 989
4-3-7499
255,i5S :
299, 14 34i, 95
90 001
16.9.625
i,3°° 2 53, I][ 4
73,i68
146,112
90 007
2.3.7.2143
—
—
218,119
575, 33
90 011
2.5.9001
—
219,145
—
—
90 017
32.29.97
49,296
273, 88
—
—
90 019
2.27.1667
—
289, 57
188,135
376, 90
90 023
2. 19.23.103
—
—
—
—
90 031
2.3.5.3001
—
—
^34,155
599, 7
90 053
4.47.479
113,278
—
—
—
QUADRATIC PARTITIONS.
219
p
p-1
a b
c d
A B
L M
90 059
2. 37.1217
147,185
90 067
2.3.I7.883
—
295, 39
80,167
581, 29
90 071
2.5.9OO7
—
—
. —
—
90 073
8.8LI39
163,252
235^32
229,112
565, 39
90 089
8.II26I
283,100
291, 52
—
90107
2-45°53
—
267, 97
—
—
90121
8.3.5-75I
11,300
83,204
37,i72
553, 45
90127
2.27.1669
—
—
298, 21
59 6 , 14
90149
4.31.727
i93>23o
—
—
—
90 163
2.9.5009
—
199,159
184,137
227,107
90173
4.22543
37»298
—
—
—
90187
2.3- I 5°3 I
—
67,207
20,173
539, 5i
90191
2. 5. 29.311
—
—
—
—
90197
4.22549
281,106
—
—
—
90199
2.9.5011
—
—
274, 71
61,115
90 203
2.7.17.379
—
285, 67
—
—
90 217
8.9.7.179
51,296
145,186
235,108
470, 72
90 227
2.197.229
—
105,199
—
—
90 239
2.45119
—
—
—
90 247
2.3.13.13.89
—
170,143
599, 9
90 263
2.45!3i
—
—
—
—
90 271
2.9.5.17.59
—
—
22,173
497, 65
90 281
8.5.37.61
109,280
207,154
—
—
90 289
16. 27. 11. 19
17,300
109,198
217,120
434, 80
90 313
8.3-53.7I
213,212
221,144
259, 88
523, 57
90 353
16.5647
217,208
231,136
—
—
90 359
2.45179
—
—
—
—
90 371
2.5.7.1291
—
273, 89
—
—
90 373
4-3-17-443
207,218
—
299, 18
598, 12
90 379
2.9.5021
—
251,117
256, 91
529, 55
90 397
4.729.31
219,206
—
265, 82
511, 61
90 401
32.25.113
151,260
123,194
—
—
90 403
2.3.13.19.61
239,129
284, 57
568, 38
90 407
2.17.2659
—
—
—
90 437
4-23-983
161,954
—
—
—
90 439
2 -3-i5°73
1 _
—
266, 81
532, 54
90 469
4-9-7-359
I287, 90
—
i39,i54
601, 5
90 473
8.43.263
293, 68
285, 68
—
90 481
16.3.5. 13.29
1241,180
*73, J 74
287, 52
i3!, I][ 3
90 49S
2-3-i5°83
' —
209,153
296, 31
203,109
220
QUADRATIC PARTITIONS.
P-i
A B
L M
90 511
90 523
90 527
90 529
90 533
90 547
90 583
90 599
90 617
90 619
90 631
90 641
90 647
90 659
90 677
90 679
90 697
90 703
90 709
90 731
90 749
90 787
90 793
90 803
90 821
90 823
90 833
90 841
90 847
90 863
90 887
90 901
90 907
90 911
90 917
90 931
90 947
90 971
90 977
90 989
2.3.5.7.431
2.9.47.107
2.45263
32.3.23.41
4.13.1741
2.3.15091
2.3.31.487
2.97.467
8.47.241
2.3.11.1373
2 -9-5-i9-53
16.5. 11. 103
2.61.743
2.45329
4.22669
2.3.7.17.127
8-3-3779
2-9-5°39
4-3-7559
2.5-43-2II
4.49.463
2-3-i5 I 3*
8.9.13.97
2.83.547
4.5-I9-239
2.3-15137
16.7.811
8-3-5-757
2.9.49.103
2. 181. 251
2.29.1567
4.9.25-101
2.3.109.139
2.5.9091
4.7.17.191
2 -3-5-7-433
2.37.1229
2.5.11.827
32.2843
4.23.23.43
23,300
223,202
179,171
229,138
167,177
301, 4
55,296
199,226
299, 36
297, 5°
293, 7o
197,228
95,286
287, 92
29,300277, 84
27,212
3°!, 3
279, 80
2 97 5 35
205,156
291, 55
94,165 188,110
104,163385, 89
241,104
268, 79
70,169
176,141
166,145
7i,n5
505, 63
577, 33
352, 94
601, 7
298, 25373, 91
133,156266,104
194,133205,109
301, 6602, 4
232,111
7,213
269, 963c
159,181
189,166
249,170 —
13,213
289, 86
239,184
83,290.
191,165
297, 37
2i3, I 5 I
33,212
206,127
179,140
130,157
301, 10
248, 99
172,143
464, 74
277,103
i75,in
599,
601,
33h 97
496, 66
257,105
QUADRATIC PARTITIONS.
221
V
p — 1
a b
c d
A B
L M
90 997
4.3-7583
231,194
—
i3 5 i74
26,116
91009
128.9.79
153,260
53,2io
247,100
547, 49
91019
2.17.2677
—
261,107
—
—
91033
8-3-3793
293, 72
265,102
301, 12
602, 8
91079
2-i3-3 I - II 3
—
—
—
—
91081
8.9.5.11.23
291, 80
287, 66
197,132
394, 88
91097
8-59-193
59,296
297, 38
—
—
91099
2.27.7.241
—
19,213
284, 59
461, 75
91121
16.5.17.67
295, 64
i53, l8 4
—
—
91127
2.7.23.283
—
—
—
—
91129
8-3-3797
277,120
281, 78
299, 24
598, 16
91139
2.455 6 9
—
129,193
—
—
91141
4.3.5.49.31
175,246
—
293, 42
586, 28
91151
2.25.1823
—
—
—
—
91153
16.27. 211
233» I 9 2
89,204
49,172
565, 4i
91159
2 -3-i5 I 93
74,169
433, 81
91 163
2.19.2399
—
*95, l6 3
—
—
91 183
2.3.7.13.167
—
—
214,123
428, 82
91193
8.11399
77,292
171,176
—
—
91199
2-45599
—
—
—
—
91229
4.22807
5>3°2
—
—
—
91 237
4-3-7603
191,234
—
245,102
490, 68
91243
2.9-37-I37
—
181,171
224,117
448, 78
91249
16.3. 1901
207,220
301, 18
281, 64
89,115
91253
4.7.3259
7,302
—
—
—
91283
2.45641
—
249,121
—
—
91291
2-3-5- I 7-i79
—
227,141
296, 35
401, 87
91297
32.9-317
279,116
197,162
103,164
389, 89
91303
2.3.15217
—
—
290, 49
I43,H3
91309
4.3.7.1087
205,222
—
209,126
418, 84
91331
2.5-9I33
—
63,209
—
—
91367
2.11.4153
—
—
—
—
91369
8.243.47
37,3°°
163,180
301, 16
349, 95
91373
4.53.431
i3>3° 2
—
• —
—
91381
4-3.5-1523
295, 66
—
259, 90
518, 60
91387
2.9.5077
—
253>n7
40,173
479, 7i
91 393
256.3.7.17
167,252^
149,186
265, 84
53o, 56
91 397
4-73-3I3
271, 134 1
—
—
91411
2.3.5.11.277
—
103,201
88,167
413, 85
91423
2.27.1693
—
—
266, S 3
5i5, 61
222
QUADRATIC PARTITIONS.
p
p-l
a b
c a
A B
L M
91433
8.11.1039
173,248
81,206
—
—
91 453
4.3.7621
267,142
—
25>i74
50,116
91457
64.1429
161,256
273, 92
—
—
91459
2.9.5081
—
289, 63
76,169
583, 3i
91463
2.7.47.139
—
—
—
—
91493
4.89.257
17,302
—
—
—
91499
2.11.4159
—
189,167
—
—
91513
8.9.31.41
237,188
91,204
149,152
605, 1
91529
8.17.673
227,200
159,182
—
—
91541
4.5.23.199
265,146
—
—
—
91571
2.5-9I57
—
297, 41
—
—
91 573
4-3-I3.587
297, 58
—
301, 18
602, 12
91577
8.1 1447
179,244
213^52
—
« —
91583
2.29.1579
—
—
—
—
91591
2-3-5-43-7I
—
—
254, 95
539, 53
91621
4.9-5-5°9
289, 90
—
283, 62
97,1*5
91631
2.5.49.11.17
—
—
—
—
91639
2.27.1697
—
—
242,105
484, 70
91 673
8.7.1637
133*272
9,214
—
—
91691
2-5-53-173
—
267,101
—
—
91703
2-I3-3527
—
—
—
—
91711
2.9.5. 1019
—
—
3°2, 13
263,105
91733
4.17.19.71
23,302
—
—
—
91753
8.3.3823
283,108
301, 24
299, 28
215,109
91757
4.7.29.113
3 QI , 34
—
—
—
91771
2.3.5.7.19.23
—
203,159
272, 77
503, 65
91781
4-5-J3-353
145,266
—
—
—
91801
8.27.25.17
125,276
251,120
301, 20
241,107
91807
2. 3.11. 13.107
—
—
110,163
379, 9 1
91811
2.5.9181
—
3°3> 1
—
91 813
4.3.7.1093
3°3, 2
—
251, 98
545, 5i
91823
2.31. 1481
—
—
—
91837
4-9-255 1
261,154
—
167,146
605, 7
91841
64.5.7.41
65,296
3°3, 4
—
—
91867
2. 3.61. 251
—
277, 87
280, 67
481, 71
91 873
32.9.11.29
303> 8
271, 96
199,132
398, 88
91909
4-27-23-37
3°3, I0
203,130
187,111
91921
16.3.5.383
255> l6 4
61,210
233,112
103,115
91939
2. 3.7. 11. 199
—
79,207
8,i75
5*7, 61
91 943
2.45971
—
QUADRATIC PARTITIONS.
223
p
p-1
a b
c d
A B
L M
91951
2.3.25.613
—
—
274, 75
548, 50
91 957
4-3-79-97
281,114
115,162
230,108
91961
8.5. 121. 19
269,140
123,196
—
—
91967
2.7.6569
—
—
—
—
91969
64.3.479
95,288
239^32
191,136
217,109
91997
4.109. 211
101,286
—
—
92 003
2.157.293
—
23i»i39
—
—
92 009
8.7-3I.53
275,128303, 10
—
—
92 033
128.719
217,212
21,214
—
—
92 041
8-3-5-I3-59
285,104
257,n4
221,120
442, 80
92 051
2.25.7.263
—
3°3, n
—
92 077
4-3-7673
291, 86
—
97,166
595, 23
92 083
2.3.103.149
—
281, 81
80,169
427, S3
92 107
2.9.7.17.43
—
37,213
248,101
55i, 49
92 111
2.5.61. 151
—
—
—
92119
2.3.13.1181
—
—
154,151
607, 1
92 143
2.9.5119
—
—
226,117
452, 78
92 153
8.11519
83,292
75,208
—
92 173
4.3.7681
243,182
i45,i54
607, 3
92177
16.7.823
191,236
285, 74
92 179
2.81.569
—
127,195
296, 39
592, 26
92 189
4.13.1213
283,110
—
—
—
92 203
2.3.121.127
—
229,141
160,149
287,103
92 219
2.49.941
—
99,203
—
92 221
4.3-5-29-53
139,270
—
247,102
494, ^
92 227
2.3.19.809
—
295, 5i
128,159
256,106
92 233
8.27.7.61
253,168
289, 66
59,i72
457, 77
92 237
4-23059
131,274
—
—
92 243
2-17-2713
201,161
—
92 251
2. 9.125. 41
—
107,201
112,163
601, 17
92 269
4.9.11.233
237,190
—
289, 54
578, 36
92 297
8.83.139
181,244
147,188
92 311
2. 3.5. 17. 181
—
—
i94,i35
388, 90
92 317
4.3-49- 157
2 99, 54
—
295, 42:
590, 28
92 333
4-4i.5 6 3
227,202
—
—
92 347
2-3-I539 1
—
293, 57
68,171
136,114
92 353
64-3-I3.37
97,288
209,156
215,124
i57,n3
92 357
4. 11. 2099
289, 94
—
92 363
2.46181
219,149
—
92 369
16.23.251
287,100
291, 62
—
—
224
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B
L M
92 377
8.9.1283
69,296
I
233,138,283, 64475, 73
92 381
4-5-3 I - I 49
91,290
— — 1 —
92 383
2.3.89.173
—
— 166,147332, 98
92 387
2.7.6599
—
3°3, 17 —
—
92 399
2.46199
— .
—
92 401
16.3.25. 7. 11
49,300
301, 30263, 88
1,117
92 413
4.9.17.151
123,278
— I265, 86
7,i<7
92 419
2.3.73.211
—
41,213304, 1
307,101
92 431
2.9.5.13.79
—
— 266, 85
11,117
92 459
2.46229
—
3,215
—
—
92 461
4-3-5- 2 3- 6 7
285,106
—
287, 58
113,115
92 467
2.9.11.467
—
145,189
292, 49
439, 81
92 479
2-3 I 54i3
—
—
298, 35
i93,in
92 489
8.11.1051
85,292
51,212
—
—
92 503
2. 81. 571
—
—
94,167
407, 87
92 507
2. 23.2011
—
267,103
—
—
92 551
2.3.25.617
—
—
26,175
499, 67
92 557
4.27.857
179,246
—
257, 94
2 5, IX 7
92 567
2.31. 1493
—
—
—
—
92 569
4.3.7.19.29
187,240
AV^
1X09,164
383, 91
92 581
4-3-5-1543
255,166
—
133,158
34i, 97
92 593
16.9.643
3°3, 28
179,174
89,1681178,112
92 623
2.3-43-359
—
— 7°, I 7 I
140,114
92 627
2.29.1597
—
297, 47
—
—
92 639
2.7.13.509
—
—
—
—
92 641
32-3-5- I 93
i5>3°4
97,204
271, 80
3M*7
92 647
2.9.5147
—
—
122,161
605, 13
92 657
16.5791
71,296
183,172
—
—
92 669
4.23167
155,262
—
—
—
92 671
2.3.5.3089
—
—
214,125
161,113
92 681
8-5-7-33I
259,160
33>2i4
—
—
92 683
2. 9. 19. 271
—
109,201
280, 69
560, 46
92693
4.23173
247,178
—
—
—
92 699
2.46349
—
93,205
—
—
92 707
2.3-J545 1
—
185,17!
272, 79
35,n7
92 717
4-i3- I 783
301, 46
—
—
—
92 723
2.7.37.179
—
>35> I 93
—
—
92 737
64.9.7.23
289, 96
287, 72
i93,!36
601, 19
92 753
16.11. 17.31
137,272
249,124
—
—
92 761
8.3-5-773
165,256
247,126
293, 48
586, 32
QUADRATIC PARTITIONS.
225
p
p-1
a b
c d
A B
L M
92 767
2.3.15461
—
— 182,141
364, 94
92 779
2.3-7.47.47
— 3 OI > 33 3°4, 11
271,105
92 789
4.23197
185,242
— —
92 791
2.9.5.1031
—
— 302, 23
37i, 93
92 801
128.25.29
295, 76
213,1541 —
92 809
8.9.1289
53>3°o
253,120^29,116
ii9,n5
92 821
4-3-5.7.I3.I7
105,286
- j 2 53, 98
4i,n7
92 831
2.5.9283
—
92 849
16.7.829
145,268
2 43, T 3° —
—
92 857
8.3.53-73
21,304
2 95, 54!235,ii2
57i, 4i
92 861
4-5.4643
235>i94
—
92 863
2. 9.7. 11. 67
—
— i 2 74, 77
43,H7
92 867
2.59.787
—
3°3, 23
—
92 893
4.3-774I
213,218
—
119,162
238,108
92 899
2.9-I3.397
—
161,183
3 2 >i75
493, 69
92 921
8.5. 23.101
211,220
267,104
92 927
2.97.479
—
—
—
—
92 941
4.3-5-J549
221,210
—
79,170
43i, 83
92 951
2. 25. 11. 13.13
—
—
—
92 957
4.17.1367
149,266
—
—
—
92 959
2 .3.i5493
—
—
286, 61
469, 75
92 987
2.19.2447
—
75, 2 °9
—
—
92 993
64.I453
223,208
159,184
—
—
93 001
8.3.125.31
299, 60
227,144
251,100
49,n7
93 047
2.46523
—
—
—
93 053
4-43-54I
43>3°2
—
—
—
93 059
2.7.17.17.23
—
303, 25
—
—
93 077
4.23269
169,254
—
—
93 083
2. 11. 4231
—
285, 77
—
—
93 089
32.2909
305, 8
81,208
—
—
93 097
8.27.431
269,144
3°5> 6
13,176
5i5, 63
93 103
2 -3-59-263
—
—
250,101
53,n7
93 113
8.103.113
277,128
39>2i4
—
93131
2.5.67.139
—
291, 65
—
—
93 133
4-9-i3-i99
163,258
305, 6
610, 4
93 139
2.3.19.19.43
—
49,213
124,161
359, 95
93 151
2.81.25.23
—
—
58,i73
461, 77
93 169
16.9.647
3°5, 12
269,102
287, 60
574, 40
93179
2.46589
—
27,215
—
—
93187
2.9.31. 167
—
305, 9
208,129
416, 86
2g
226
QUADRATIC PARTITIONS.
p
p-1
a b I c d
A B 1 L M
93199
2.3-49-3!7
—
—
74,i7i|i48,ii4
93 229
4-3-!7-457
45,3° 2
—
49,174 98,116
93 239
2.46619
—
—
— —
93 241
8-9-5-7-37
75>296
71,210
67,172583, 35
93 251
2-125-373
—
249,125
— —
93 253
4.3.19.409
303, 38
—
181,142607, 13
93 257
8,11657
29,304
225,146
—
—
93 263
2. 13. 17. 211
—
—
—
—
93 281
33.5.11.53
3°5, l6
177,176
—
93 283
2.3.7.2221
—
175^77
304, 17253,107
93 287
2.46643
—
—
— —
93 307
2 -3- I 555 r
—
245,129
188,139229,109
93 319
2.3.103.151
—
—
38,175:487, 7i
93 323
2.29.1609
—
i7i,i79
93 329
16.19.307
265,152
279, 88
93 337
8.3.3889
131,276
5,216
i55» I 5 2 6n, 1
93 371 2.5.9337
—
243, 1 3 1
—
—
93 377; 64.1459
3i 5 304
303, 2 8| —
—
93 383 2.46691
—
93 407
2.46703
—
— —
—
93 419
2.13-3593
—
2i3,i55 —
—
93 427
2.3.23.677
—
257,117: 88,i6q
595, 27
93 463
2.3.37.421
—
— 266, 87
532, 58
93 479
2. 7. 11. 607
—
—
—
93 481
8.3.5.19.41
59,300
13,216
203,132
406, 88
93 487
2.3-15581
—
—
262, 91
535, 57
93 491
2-5-9349
—
303, 29
—
93 493
4-9-49-53
233,198
221,122
587, 33
93 497
8.13.29.31
299, 64
I 35, I 94
—
—
93 503
2.46751
—
—
93 523
2.3.11. 13.109
—
295, 57
280, 71
67,117
93 529
8.27.433
123,280
73,2io
269, 84
538, 56
93 553
16.3.1949
103,288
265,108
25,176
5o3, 67
93 557
4.19.1231
151,266
—
93 559
2.3-3 I -5°3
—
226,119
i3i,n5
93 563
2.7.41. 163
—
219,151
—
—
93 581
4.5-4679
275^34
—
—
93 601
32-9-25-13
305, 24
17,216
167,148
277,105
93 607
2.3.15601
—
—
238,111
476, 74
93 629
4.89.263
277,130
—
—
—
QUADRATIC PARTITIONS.
227
p-l
A B I L M
93 637
93 683
93 701
93 703
93 719
93 739
93 761
93 763
93 787
93 809
93 811
93 827
93 851
93 871
93 887
93 889
93 893
93 901
93 911
93 913
93 923
93 937
93 941
93 949
93 967
93 971
93 979
93 983
93 997
94 007
94 009
94 033
94 049
94 057;
94 063
94 079|
94 099
94 1091
94 111!
94 117
4.81. 17.17
2.31.1511
4.25.937
2.3.7.23.97
2.47.997
2.3.17. 919
64.5.293
2.9.5209
2.3.49.11.29
16.11.13.41
2.3.5.53.59
2.43.1091
2.25.1877
2.9.5.7.149
2.13.23.157
64.9.163
4.23473
4.3-25-3 I 3
2-5-939 1
8.3.7.I3.43
2.151.311
16.3.T9.103
4.5.7.11.61
4.3.7829
2.3.15661
2-5.9397
2.9.23.227
2.343.I37
4.9.7373
2.11.4273
8.3.3917
16.9.653
32.2939
8.3-39!9
2.3.61.257
2.17.2767
2.3.15683
4.7.336i
2.3-5-3 I 37
4.3.11. 23.31
1,306
3°5, 26
185,244
3°5, 28
225,208
193*238
99,290
93,292
39,304
265,154
293, 90
19,306
205,228
279, 89
i33>i95
267,106
55,213
293, 6 3
147,190
263,111
297, 53
99,205
289, 72
229,144
81,209
25,216
39,215
91,207
53,i74
286, 63
304, 21
256, 97
220,123
44,175
202,133
3^176
287, 62
115,164
295, 48
I5M54
230,117
148,155
305, 18
299, 48253,100
287,108125,198145,156
305, 32207,160; —
229,204275, 96277, 76
190,139
— 281, 87
203,230 —
111,286 —
224,121
142,157
107,166
106,116
572, 42
608, 14
547, 53
440, 82
481, 73
601, 23
497, 69
473, 75
377, 93
59o, 32
613,
460, 78
317,101
610, 12
553, 5i
290,104
505, 67
607, 17
i39,n5
613, 5
39i, 9 1
228
QUADRATIC PARTITIONS.
A B
L M
94121
94 151
94 153
94169
94 201
94 207
94 219
94 229
94 253
94 261
94 273
94 291
94 307
94 309
94 321
94 327
94 331
94 343
94 349
94 351
94 379
94 397
94 399
94 421
94 427
94 433
94 439
94 441
94 447
94 463
94 477
94 483
94 513
94 529
94 531
94 541
94 543
94 547
94 559
94 561
8.5.13.181
2.25.7.269
8.3-39 2 3
8.79.149
8.3-25-!57
2.3.7.2243
2.3-41-383
4.23557
4-23563
4-3-5- I 57i
64.3.491
2.3.5.7.449
2.61.773
4.3.29.271
16.9.5.131
2.3.79.199
2-5-9433
2.43.1097
4.103.229
2.3- 2 5- I 7-37
2.47189
4-23599
2.315733
4.5.4721
2-3 I - I 5 2 3
32.13.227
2.23.2053
8-3-5-787
2. 81. 11. 53
2.73.647
4-3-7873
2.9.29.181
16.3.11.179
64.7. 211
2-3.5- 2 3- I 37
4.5.29.163
2.3.7.2251
2.41. 1153
2.47279
32.3.5-I97
275^36
277,132
163,260
301, 60
55.302
3°7, 2
25>3° 6
257,168
303, 5°
3°5. 36
307, 10
139.274
295, 86
143,272
45.304
29,306
303. 52
127,280
179,250
265,156
3°3. 34
29,216
219,152
283, 84
59.213
31,216
247,129
255. 12 i
307. 6
123,199
141,193
243.*33
225,148
79,210
305. 27
205,162
273,100
241,135
303, 37
293. 66
35.176
299. 40
242,109
112,165
307. 2
169,148
3°4, 25
59.174
289, 60
250,103
298, 43
218,125
3o7. 8
82,171
3°5, 22
104,167
281, 72
268, 87
290, 59
263, 92
563, 47
I79.II3
85,n7
224,110
301,103
613,
379, 93
118,116
578, 40
559, 49
427, 85
593. 31
283,105
164,114
239,109
605, 21
562, 48
536, 58
467, 77
539, 57
QUADKATIC PAETITIONS.
229
p
p-1
a b
c d
A B
L M
94 573
4-9-37-7I
307, 18
—
175^46
263,107
94 583
2.19.19.131
—
—
94 597
4-3-7883
S 1 ^ 06
293, 54
586, 36
94 603
2.3.15767
—
299, 5 1
3°4, 27
608, 18
94 613
4.7.31. 109
217,218
—
—
—
94 621
4-3-5-I9-83
245,186
—
89,170
599, 27
94 649
8.11831
307, 20
69,212
—
—
94 651
2.3.25.631
3 OI > 45
272, 83
521, 63
94 687
2-3-43-3 6 7
—
—
7o,i73
449, 81
94 693
4.3.13.607
273,142
299, 42
598, 28
94 709
4.23677
103,290
—
—
—
94 723
2.3.15787
95*207
196,137
215,111
94 727
2.473 6 3
—
—
—
94 747
2-3-I579 1
—
227,147
208,131
185,113
94 771
2.729.5.13
289, 75
28,177
56,118
94 777
83.11.359
171,256
185,174
43, J 7 6
485, 73
94 781
4.5.7.677
155,266
—
—
—
94 789
4.9.2633
3°5, 42
—
283, 70
493, 7i
94 793
8.17. 17.41
227,208
255,122
—
—
94 811
2.5.19.499
—
237,139
—
—
94 819
2.3.15803
—
137,195
296, 49
I49,n5
94 823
2.7. 13.521
—
—
—
—
94 837
4.3.7.1129
281,126
—
307, 14
265,107
94 841
8.5.2371
85,296
57,2i4
—
—
94 847
2.47.1009
—
—
—
—
94 849
128.3. 13.19
193,240
257,120
119,164
611, 15
94 873
8.3.59-67
3.3o8
245,^2
101,168
202,112
94 889
8.29.409
5,3°8
189,172
—
—
94 903
2.3.15817
—
—
106,167
395, 9i
94 907
2.7.6779
—
27,217
—
—
94 933
4.81.293
297, 82
—
301, 38
187,113
94 949
4.7-339*
257,170
—
—
—
94 951
2. 9.25. 211
—
—
238,113
101,117
94 961
16.5.1187
305, 44
243,^34
—
—
94 993
16.3.1979
183,248 41,216
79,172
595> 3i
94 999
2.3.71.223
—
—
226,121
589, 35
95 003
2.47501
—
285, s 3
—
—
95 009
32.2969
145,272
3°3, 4o
—
—
95 021
4-5-475I
115,286
—
—
—
95 027
2.475 J 3
—
225,149
—
—
230
QUADRATIC PARTITIONS.
V
p — 1 a b
c d
A B
L M
95 063
2. 11. 29. 149
95 071
2 -3-5-3 I 69
—
—
278, 77
509, 67
95 083 2.3.13.23.53
—
211,159
124,163
613, 13
95 087
2 -47543
—
—
—
—
95 089
16.3.7.283
15,308
83,210
199,136
607, 21
95 093
4-23773
233,202
—
—
—
95101
4-3-25-3!7
270,149
—
7,i78
54i, 57
95 107
2.3.121. 131
—
97,207
3°8, 9
616, 6
95111
2.5.9511
—
—
—
—
95 131
2.9.5. 7.151
—
307, 21
116,165
232,110
95 143
2.3.101.157
—
34,177
68,118
95 153
16.19.313
17,308141,15
—
95177
8. 1 1897
299, 76
93,208
—
—
95 189
4-53-449
265,158
—
—
—
95 191
2.3.5.19.167
—
—
158,153
316,102
95 203
2.27.41.43
—
305, 33
184,143
245,109
95 213
4.13.1831
163,262
—
—
—
95 219
2.47609
—
159,187
—
—
95 231
2.5.89.107
—
—
—
—
95 233
1024.3.31
153,268
299, 54
161,152
617, 3
95 239
2.9.11. 13.37
—
—
58,175
583, 39
95 257
8.243.49
189,244
197,168
293, 5 6
461, 79
95 261
4-5-H-433
181,250
—
—
—
95 267
2. 19.23.109
—
33,2i7
—
—
95 273
8. 1 1909
307, 32
15,218
—
—
95 279
2.47639
—
—
—
—
95 287
2.3.15881
—
—
98,169
409, 89
95 311
2-27-5-353
—
—
302, 37
i9 I > II 3
95 317
4.3-13-13-47
41,306
—
67,i74
134,116
95 327
2. 7. 11. 619
—
—
—
—
95 339
2-73- 6 53
—
291, 73
—
—
95 369
8.7.13.131
245,188
237,140
—
—
95 383
2.9-7-757
—
—
230,119
587, 37
95 393
32. 11. 271
23,308
219,154
—
—
95 401
8.9.25.53
251,180
307, 24
301, 40
421, 87
95 413
4-3-795 1
263,162
—
19,178
553, 53
95 419
2.81. 19.31
—
181,177
296, 51
592, 34
95 429
4-23857
65,302
—
—
—
95 441
16.5. 1193
55,304
183,176
—
—
95 443
2.3.15907
—
121,201
140,159
280,106
QUADRATIC PARTITIONS.
231
p
p — 1
a b
c d
A B
L M
95 461
4.3-5-37.43
95, 2 94
—
187,142
613, 15
95 467
2.3.7.2273
—
I55>i8 9
88,171
176,114
95 471
2 -5-9547
—
—
—
—
95 479
2-3-I59I3
—
—
202,135
404, 90
95 483
2.47741
—
3°9, 1
—
—
95 507
2.17-53-53
—
3°3, 43
—
—
95 527
2.27.29.61
—
—
242,111
484, 74
95 531
2.5.41.233
—
309, 5
—
—
95 539
2-3-15923
—
169,183
308, 15
616, 10
95 549
4.23887
107,290
—
—
—
95 561
8.5.2389
131,280
63,214
—
—
95 569
8.3.11.181
225,212
131,198
137,160
343, 99
95 581
4.81.5.59
309, 10
—
23*178
5"> 67
95 597
4.23899
211,226
—
95 603
2.13.3677
—
81,211
—
—
95 617
128.9.83
161,264
3°5, 36
265, 92
11,119
95 621
4.5.7.683
289,110
—
—
—
95 629
4.3-13-613
227,210
—
271, 86
13*119
95 633
16.43-139
257,172
291, 74
—
—
95 651
2.25.1913
—
297, 61
—
—
95 701
4.3.25.11.29
151,270
—
307, 22
373* 95
95 707
2.9.13.409
—
307, 27
292, 59
"5>"7
95 713
32.3.997
113,288
49,216
241,112
577, 43
95 717
4.23929
241,194
— :
—
—
95 723
2. n. 19. 229
—
3°9, JI
—
—
95 731
2.3.5-3191
—
*93,i7*
308, 17
359, 97
95 737
8.3.3989
309, 16
295, 66
53,176
581, 41
95 747
2.49.977
—
273» io 3
—
—
95 773
4.3-23.347
277,138
—
295* 54
59o, 36
95 783
2.83.577
—
—
95 789
4.7.11.311
275,142
—
—
95 791
2.3.5.31. 103
—
154,155
3"»io3
95 801
8.25.479
299, 80
249,130
—
95 803
2.3.7.2281
—
3°i, 5i
176,147
352, 98
95 813
4. 1 7. 1 409
193,242
—
—
95 819 2.23.2083
—
309, 13
—
—
95 857! 16.3.1997
249,184
247,132
223,124
595, 33
95 869| 4.9.2663
165,262
7**174
142,116
95 873 128.7. 107
103,292
309, 14
—
95 881
8.3.5-I7.47
309, 20
259,120
163,152
293,io5|
232
QUADRATIC PARTITIONS.
p
p-l
a b
c d
A B
L M
95 891
2.5.43.223
—
279> 95! —
—
95 911
2-3.5-23.i39
—
— 218,127
163,115
95 917
4.3.7993
291,106
— 145^58
329,101
95 923
2.9.73.73
—
1,219: 44,177
88,118
95 929
8.3.7-57I
77,300
149,192:277, 80
37,n9
95 947
2.3.15991
—
5,219308, 19
251,109
95 957
4.7.23.149
119,286
—
—
—
95 959
2.27.1777
—
—
166,151
619, 5
95 971
2.3.5.7.457
—
7,219
64,^75
589, 37
95 987
2. 11. 4363
—
207,163
—
—
95 989
4-3.19.421
183,250
—
179,146
617, U
96 001
256.3.125
255>i76
113,204
247,108
494, 72
96 013
4.27.7.127
3°7, 42
—
31,178
565, 49
96 017
i6.i7.353
191,244
285, 86
—
—
96 043
2.3.16007
—
11,219
296, 53
455, '81
96 053
4-II.37-59
137,278
—
—
—
96 059
2.48029
—
3°9, 1 7
—
—
96 079
2.3.67.239
—
—
286, 69
572, 46
96 097
32.3.7. 11. 13
201,236
133,198
3°5, 32
401, 91
96 137
8.61. 197
61,304
33,2i8
—
—
96149
4.I3.43.43
7,3 IQ
—
—
—
96 157
4.9.2671
309, 26
—
73, J 74
146,116
96167
2.7.6869
—
—
—
—
96 179
2.19.2531
—
201,167
—
—
96181
4.3.5.7.229
9,3 X °
—
227,122
593, 35
96199
2.3- l6o 33
—
—
182,145253,109
96 211
2.9.5.1069
—
17,219
112,167
389, 93
96 221
4.5.17.283
11,310
—
—
—
96 223
2.3.7.29.79
—
—
10,179
527, 63
96 233
8.23.523
37,308
291, 76
—
—
96 259
2.3.61.263
—
281, 93
136,161
347, 99
96 263
2.48131
—
—
—
—
96 269
4.41.587
i3>3 10
—
—
—
96 281
8.5.29.83
125,284
309, 20
—
—
96 289
32.3- I 7-59
105,292
283, 90
281, 76
53,H9
96 293
4.7.19.181
287,118
—
—
—
96 323
2.17.2833
—
249,131
—
—
96 329
8. 1 2041
277,140
99,208
—
—
96 331
2.3.5,13.13.19
—
277, 99
208,133
607, 25
96 337
16.27.223
279,136
55,2i6
175^48
619, 9
QUADEATIC PARTITIONS.
233
p
^-1
a b
c a
A B
L M
96 353
32.3011
247,188
69,214
96 377
8.7.1721
301, 76
267,112
■ —
—
96 401
16.25.241
215,224
297, 64
—
—
96 419
2.7.71.97
—
63,215
—
—
96 431
2.5.9643
—
—
—
—
96 443
2.48221
—
261,119
—
96 451
2-3- 2 5- 6 43
—
23,219
3°8, 23
377, 95
96 457
8.3.4019
299, 84
115,204
253, IQ 4
59,n9
96 461
4-5-7-I3-53
i9>3 10
—
—
—
96 469
4.3.8039
265,162
—
221,126
442, 84
96 479
2.48239
—
—
—
—
96 487
2.3.13.1237
—
—
5o,i77
100,118
96 493
4.3.11. 17.43
173,258
—
305, 34
203,113
96 497
16.37.163
241,196
237,142
96 517
4-9 7-383
289,114
—
283, 74
61,119
96527 2.17. 17. 167
—
—
—
96 553; 8.81. 149
3°7, 48
305, 42 109,168
218,112
96 557 4. 101.239
179,254
—
—
—
96 58l! 4.5. 11.439
209,230
—
—
—
96 587; 2.7.6899
—
243,137
—
—
96 589 4-9-2683
195,242
—
289, 66
578, 44
96 601 8.3.25.7.23
285/124J299, 60307, 28
39 1 , 93
96 643 2.9.7.13.59
— 289, 81
284, 73
65,119
96 661; 4.5.27.179
55,306, —
269, 90
538, 60
96 6671 2.3.16111
— ! 77,213268, 91
54i, 59
96 671
2.5.7.1381
—
— —
—
96 697
8.9.17.79
269,156
235, I 44 ! 203,i36
205,113
96 703
2.3.71.227
—
— 266, 93532, 62
96 731 2.5.17.569
—
3°9, 25 —
—
96 737 32.3023
3ii, 4
123,202 —
—
96 739 2.3.23.701
—
311, 3308, 25
233,iu
96749:4.19.19.67
3°7, 5°
—
—
96 757 4.3.1 1.733
3 11 , 6
—
77,174:154,116
96 763 2.3.16127
—
29,219236,117472, 78
96 769 512.27.7
287,120
271,108311, 4299,105
96 779 2.11. 53.83
—
5!,2i7
—
—
96 787 2.9.19.283
—
215,159
220,127601, 31
96 797 4-7-3457
299, 86
— —
96 799 2.3.13.17.73
—
—
26,179:563, 5i
96 821
4.5.47.103
311, 10
—
2h
234
QUADRATIC PARTITIONS.
p
p-l
a b i c d
A B
L M
96 823
2. 27. II. 163
—
— 230,121133,117
96 827
2.48413
—
267,113
96 847
2.3.1614I
—
—
250,107 71,119
96 851
2.25.I3.I49
—
177,181
— —
96 857
8.I2I07
251,184
183,178
— . i —
96 893
4.24223
277,142
—
— —
96 907
2. 3.3I. 52I
—
173,183
28,179509, 69
96 911
2. 5. II. 88l
—
—
— —
96 931
2.27-5-359
—
127,201
184,145^19, 13
96 953
8. 121 19
307. 52
171,184
— —
96 959
2.48479
—
—
— —
96 973
4.3.8081
237,202
—
i9i,i42'235,in
96 979
2.3.7.2309
—
79,213:304, 39608, 26
96 989
4.24247
283,130
—
— —
96 997
4.3.59-I37
191,246
—
235,118589, 39
97 001
8.125.97
301, 80
273,106
— —
97 003
2.9.17.317
—
269,111
260, 99520, 66
97 007
2.7.13.13.41
—
—
— —
97 021
4.9.5.49. 1 1
261,170
—
311, 10281,107
97 039
2.81.599
—
—
158,155623, 1
97 073
16.6067
47>3°8| 45>2i8
— —
97 081
8.3.5.809
309, 40167,186
259,ioo559, 53
97 103
2.47.1033
— —
97117
4-3-8093 59>3°6
—
295, 58469, 79
97127
2 48563
—
—
97151
2.25.29.67
97 157
4.107.227
271,154
— 1 — —
97159
2.3.16193
— 146,159292,106
97169
16.6073
137,280
231,148,
97 171
2-3-5-4I-79
311, 15292, 63584, 42
97177
8.3.4049
69,304
137,198187,144
374, 96
97187
2.48593 '297, 67
—
—
97 213
4.3.8101 133,282 —
281, 78
562, 52
97 231
2.3.5-7-463
298, 53
i39,n7
97 241
8.5.11. 13.17
221,220 21,220
— —
97 259
2.7.6947
— 219,157 —
—
97 283
2.127.383
— 255,127 —
—
97 301
4.25.7-139
215,226 — —
—
97 303
2.3.16217
— 170,151
283,107
97 327
2.9.5407
—
~~
98,171
196,114
QUADRATIC PARTITIONS.
235
p
p — 1
a be d
A B
L M
97 367
2.89.547
—
97 369
8.3-4057
5.312
311, 18
13,180
26,120
97 373
4.11.2213
197,242
—
—
—
97 379
2. 181. 269
—
249^33
—
—
97 381
4.9.5.54I
3°5, 66
—
293, 62
479, 77
97 387
2.3.16231
—
283, 93
308, 29
395, 93
97 397
4.13-1873
311, 26
—
—
97 423
2.3.13.1249
—
310, 21
620, 14
97 429
4.3.23.353
295,102
*13>*5°
346,100
97 441
32.3.5.7.29
279,140
229,150
113,168
226,112
97 453
4.9.2707
93,298
—
49,178
583, 43
97 459
2.3.37.439
—
247>i35
3°4, 4i
181,115
97 463
2.48731
—
—
—
97 499
2. 29.41.41
—
141,197
—
—
97 501
4.3.625.13
299, 90
137,162
274,108
97 511
2.5.49.199
—
—
—
—
97 523
2.48761
—
201,169
—
—
97 547
2.17.19.151
—
123,203
—
—
97 549
4-3-H-739
157,270
—
209,134
611, 25
97 553
16.7.13.67
233,208
105,208
—
97 56l' 8.9.5.271
195.244
181,180
19,180
38,120
97 571
2. 5. 11. 887
—
183,179
—
97 577
8.12197
179,256
177,182
—
—
97 579
2.27. 13.139
—
109,207
176,149
623, 9
97 583
2.97.5 3
—
—
—
—
97 607
2.37. 1319
—
—
—
—
97 609
8.3.49.83
285,128
97,210
197,140
617, 19
97 613
4.23. 1061
3°7, 58
—
—
—
97 649
i6.i7.359
305, 68
51,218
—
—
97 651
2.9.25.7.31
—
217,159
76,i75
601, 33
97 673
8.29.421
53,308
189,176
—
—
97 687
2.729.67
—
—
310, 23241,111
97 711
2.3.5-3257
—
—
238,1171476, 78
97 729
64.3.509
185,252
139,198
23,180 46,120
97 771
2 -3-5-3 2 59
—
43,219
268, 93536, 62
97 777
16.9.7.97
271,156
3°7, 42
95,172421, 89
97 787 2.13.3761
—
285, 91
— —
97 789 4.3.29.281
117,290
—
217,130607, 29
97 813 4.9.11.13.19
297, 98
>75, 86533, 63
97 829
4.37.661
95,298
—
—
236
QUADRATIC PARTITIONS.
>
p-l
a b
c d 1 A B
L M
97 841
16.5.1223
295,104279,100 — —
97 843
2.3.23.709
— 241,141244,113 95,119
97 847
2.7.29.241
— —
97 849
8.81. 151
307, 60251,132
131,164623, 11
97 859
2.H3-433
—
303, 55
97 861
4-3-5-7-233
65,306
—
53,178481, 77
97 871
2.5.9787
—
—
97 879
2.3. 11. 1483
—
—
298, 55 463, 81
97 883
2.109.449
—
195,173
— —
97 919
2.173.283
—
—
— —
97 927
2.3.19.859
—
— ,142,161341,101
97 931
2 -5-7-i399
—
309, 35! —
97 943
2.13.3767
—
— —
97 961
8.5.31.79 269,160
207,166 —
—
97 967
2.11.61.73
—
—
97 973
4-7-3499
313, 2
—
—
— -
97 987
2 -3-7- 2 333
—
3i3, 3
172,151
625, 7
98 009
8.12251
155^72
297, 70
—
—
98 011
2. 81. 5. 121
—
163,189
212,133
187,115
98 017
32.3.1021
3"* 36
293, 78
313, 4
3 2 5, io 3
98 041
8.3.5.19.43
75,304
3i3, 6
29,180
58,120
98 047
2.9.13.419
—
—
262, 99
524, 66
98 057
8.7. 17. 103
259,176
225,154
—
—
98 081
32-5-613
241,200
303, 5°
—
98101
4.9.25.109
249,190
301, 50
i5 J , TI 7
98 123
2. 71. 691
—
21,221
—
98129
16.6133
223,220
291, 82
—
—
98143
2.3.11.1487
—
—
250,109
577, 47
98179
2.3.16363
—
3 11 , 27
236,119
593, 39
98 207
2.49103
—
—
—
—
98 213
4-43-571
97,298
—
—
—
98 221
4-3-5- I 637
189,250
—
289, 70
499, 73
98 227
2.27. 17. 107
305, 5 1
112,169
619, 19
98 251
2.3-125.131
i49,i95
92,173
611, 27
98 257,
16.3.23.89
169,264
313, !2
73,176
455, 83
98 269 (
4.3-i9-43i
213,230
3*3, 10
343,ioi
98 297:
8.11,1117
181,256
57,218
—
—
98 299
2.9.43.127
—
307, 45
4,181
547, 59
98 317
4.9.2731
109,294
305, 42
610, 28
98 321 1
16.5. 1229
311, 40
39,220
—
—
QUADRATIC PARTITIONS.
237
p
p-1
a b
c d
A B
L M
98 323
2.3.7.2341
49,219
220,129
440, 86
98 327
2. 211. 233
—
—
—
98 347
2-3-37-443
—
227,153
8,181
535, 63
98 369
64.29.53
3 J 3, 20
3°9, 38
—
—
98 377
8.3.4099
149,276
157,^2
1 33^64
359, 99
98 387
2.49193
—
105,209
—
—
98 389
4.27.911
233,210
—
211,134
*9M*5
98 407
2. 9.7. 11. 71
—
—
302, 49
i55,n7
98 411
2-5- I 3-757
—
27,221
—
—
98 419
2.3.47.349
—
3i3, J 5
188,145
247,111
98 429
4. 11. 2237
85,302
—
—
—
98 443
2.27.1823
—
235,!47
284, 77 5 J 5, 6 9
98 453
4.151.163
3 r 3, 22
—
—
—
98 459
2. 19.2591
—
291, 83
—
—
98 467
2.3.16411
—
113,207
248,111
496, 74
98 473
8-3-U-373
187,252
205,168
181,148
625, 11
98 479
2.9.5471
—
—
14,181
529, 65
98 491
2.3.5.49.67
—
133,201
3°4, 45
608, 30
98 507
2.49253
—
213,163
—
—
98 519
2.7.31.227
—
—
—
—
98 533
4.9.7.17.23
303, 82
—
59,178
475, 79
98 543
2.29.1699
—
—
—
—
98 561
256.5.7.11
281,140
117,206
—
—
98 563
2.3.16427
—
281, 99
224,127
i57,n7
98 573
4.19.1297
173,262
—
—
—
98 597
4-i57.i57
1,314
—
—
—
98 621
4-5-4931
S>314
—
—
—
98627j2.11.4483
207,167
—
—
98 639 2. 149.331
—
—
—
—
98 641| 16.9.5. 137
105,296
73,216247,112
583, 45
98 663 2.49331
—
—
—
—
98 669 ! 4.17.1451
205,238
—
—
—
98 689 128.3.257
295,108
11,222 191,144
382, 96
98 711 2.5.9871
—
—
98 713| 8.27.457
37,3*2
215,162301, 52
1
457, 83
98 717 4.23.29.37
n 5 3i4
—
98 729 8.7.41.43
275^52
273, 110 ! —
—
98 731! 2.9.5.1097
—
53,219292, 67
493, 75
98 737J 16.3.121.17
239,204
13,2221313, 16
361, 99
98 773!
4.3.8231
87,302
—
61,178
595, 39
238
QUADRATIC PARTITIONS.
p
P -l
a b
c d 1 A B
L M
98 779
2.3.101.163
—
277,105296, 61
H3, IT 9
98 801
16.25. 13.19
3°5, 76
237,146
—
—
98 807
2.127.389
—
—
—
—
98 809
8.3.23.179
203,240
103,210299, 56
467, 81
98 837
4.24709
3". 46
—
— .
—
98 849
32.3089
143,280
111,208
—
—
98 867
2.49433
—
297, 73
—
—
98 869
4.3.7. 11. 107
3*3, 30
—
269, 94
13,121
98 873
8.17.727
307, 68
261,124
—
—
98 887
2.3.16481
—
—
70,177 140,118
98 893
4.9.41.67
147,278
—
239, Il8 ii5, II 9
98 897
16.7.883
289,124
285, 94
—
—
98 899
2-3-53-3H
—
3ii, 33
268, 95
17,121
98 909
4.79.3!3
53,3 10
—
—
—
98 911
*-$$-1'*S1
—
—
I 5 8 ,i57 3 I 3,io5
98 927
2.49463
—
—
__
98 929
16.27.229
177,260
19,222
161,1561322,104
98 939
2. 7. 37.191
—
69,217
—
98 947
2.9.23.239
—
55,2i9
i5 2 , I 59 3°4,io6
98 953
8.3.7.19.31
117,292
275,108
101,172415, 91
98 963
2.49481
—
23 I , I 5 I
__ —
98 981
4.5.49.101
191,250
— —
98 993
16.23.269
3 T 3, 32249,136
— —
98 999
2.49499
— —
— —
99 013
4-3-37-223
223,222 —
245,114490, 76
99 017
8.12377
221,224
63,218
99 023
2. 7. 11. 643
—
—
— —
99 041
32.5.619
271,160
177,184
— • —
99 053
4.24763
227,218
—
99 079
2-3-49-337
—
—
146,1611629, 5
99 083
2.107.463
—
141,199
— —
99 089
16.11.563
65,308
189,178
— —
99 103
2.3.83.199
—
—
314, 13275,109
99 109
4-9-2753
305, 78
—
91,174 182,116
99119
2-49559
—
—
— —
99131
2-5-23-431
. —
291, 85
99 133
4-3-i I -75i
283,138!
281, 82 35,121
99137
64.1549
199,244 267,118
— —
99139 2.3.13.31.41
— ii9i, I 77
116,169391, 95
99149
4-7-3541
307, 70
—
—
QUADRATIC PARTITIONS.
239
V
p-l
a b
c d
A B
L M
99173
4-24793
257,182
—
—
—
99181
4.9.5.19.29
285,134
—
143,162
286,108
99 191
2. 5. 7. 13.109
—
—
—
—
99 223
2.3-23-7 I 9
—
—
290, 71
503, 73
99 233
32.7.443
233,212
3*5, 2
—
—
99 241
8.3.5.827
3i5. 4
77,216
I 73 ) I 5 2
629, 7
99 251
2.125.397
— 3°3, 6l
—
—
99 257
8.19.653
269,164
3i5. 4
—
—
99 259 2.3.71.233
—
229,153
56,179
593, 4i
99 277 4.3.8273
211,234
—
65,178
469, 81
99 289
8.9.7.197
315, 8
233> I 5°
283, 80
43, J 2i
99 317
4-7-3547
169,266
—
—
—
99 347
2.13.3821
—
255^31
—
—
99 349
4.3.17.487
57 5 3io
301, 54
602, 36
99 367
2.3.16561
—
—
3io, 33
620, 22
99 371
2.5- I 9.5 2 3
—
261,125
—
—
99 377
16.6211
209,236243,142
—
—
99 391
2.3.5-3313
—
—
98,i73
617, 25
99 397
4.9.11.251
289,126
—
5,182
55i, 59
99 401
8.25.7.71
299,100
51,220
—
—
99 409
16.3. 19. 109
97,300
29,222
47,180
94,120
99 431
2.5.61. 163
—
—
—
—
99 439
2.3-16573
—
—
34,i8i
577, 49
99 469
4.81.307
163,270
—
113,170
623, 19
99 487
2.9.55 2 7
—
—
58,i79
479, 79
99 497
8.12437
109,296
303, 62
—
—
99 523
2.27.19.97
—
305, 57
296, 63
592, 42
99 527
2.7.7109
—
—
—
—
99 529
8.3.11. 13.29
195,248
31,222
259,104
53,!2I
99 551
2. 25. 11. 181
—
—
—
99 559
2-9-5531
—
—
IS4»IS9
308,106
99 563
2.67.743
—
315, 1 3
—
—
99 571
2.3-5.3319
—
137,201
208,137
203,115
99 577
8.27.461
309, 64
217,162
163,156
326,104
99 581
4-5- I 3-383
59,3 IQ
—
—
—
99 607
2.3.13.1277
—
—
118,169
625, 17
99 611
2.5.7.1423
—
267,119
—
—
99 623
2.4981 1
—
—
—
—
99 643
2.3.16607
—
61,219
200,141
400, 94
99 661
4-3^5-* 1-151
115,294
—
17,182
563, 55
240
QUADRATIC PARTITIONS.
p
P -l
a b
c d
A B | L M
99 667
2.9.49.113
—
287, 93
148,161
335,io3
99 679
2.3.37.449
—
—
3i4» 19
257>m
99 689
8.17.733
283,140
99,212
—
—
99 707
2.49853
—
45,221
—
—
99 709
4.3.7. 1187
3*5, 22
—
169,154
631, 5
99 713
128.19.41
167,268
309, 46
—
—
99 719
2.73.683
—
—
—
—
99 721
8.9.5.277
285,136
289, 90
293, 68
497, 75
99 733
4.3- 8 3 J i
3 J 3> 42
—
19,182
527, 67
99 761
16.5.29.43
185,256
297, 76
—
99 767
2.83.601
—
—
99 787
2.3.16631
—
245,141
100,173
419, 91
99 793
16.81. 7.11
287,132
35>222
3 11 , 3 2
407, 93
99 809
32.3119
265,172
69,218
—
99 817
8.3.4159
301, 96
175,186
83,176
611, 31
99 823
2. 3.127. 131
—
■
110,171
220,114
99 829
4.9-47-59
105,298
131,166
367, 99
99 833
8.12479
277,152
135,202
—
—
99 839
2.49919
—
—
99 859
2.3.11.17.89
—
119,207
3 l6 , 1
319,105
99 871
2.3-5-3329
—
142,163
63 1 , 7
99 877
4.3.7.29.41
79,306
235,122
I3MI9
99 881
8.5. 11. 227
5,3 l6
141,200
—
—
99 901
4-27-25-37
3*5, 26
23,182
569, 53
99 907
2.3.16651
—
193,177
308, 41
43i, 89
99 923
2.47.1063
—
225,157
—
—
99 929
8.12491
227,220
I7I,l88
— —
99 961
8.3.5.49.17
275^56
293, 84
277, 88541, 63
99 971
2.5.13.769
—
207,169 —
99 989
4.7.3571
217,230
— — —
99 991
2.9.5.11.101
—
— 278, 87556, 58
QUADRATIC PARTITIONS.
241
p =
12w+l = A' 2 -
-3B' 2 ,
[A' > 3B'].
p
A' B'
P
A' B'
P
A'B'
V
A' B'
13
4, i
1093
40,13
2293 49, 6
3613
61, 6
37
7, 2
1117
35, 6
2341
52,11
3637
65,H
61
8, i
1129
34, 3
2377
53, 1 2
3673
61, 4
73
to. 3
1153
34, 1
2389 49, 2
3697
62, 7
97
TO, I
1201
38, 9
2437| 55,14
3709
61, 2
109
II, 2
1213
35, 2
2473,1 50, 3
3733
64,11
157
I3> 2
1237
40,11
2521! 61,20
3769
62, 5
181
16, 5
1249
41,12
2557! 52, 7
3793
65,12
193
14, i
1297
38, 7
2593
55,i2
3853
64, 9
229
1 6, 3
1321
37, 4
2617
53, 8
3877
73,22
241
i7. 4
1381
41,10
2677
52, 3
3889
74,23
277
17, 2
1429
44,i3
2689 58,15
4021
64, 5
313
19, 4
1453
40, 7
2713 59,16
4057
67,12
337
22, 7
1489
41, 8
2749 61,18
4093
64, 1
349
19, 2
1549
43,io
2797
53, 2
4129
73,2o
373
20, 3
1597
40, 1
2833
55, 8
4153
74,21
397
20, 1
1609
46,13
2857
58,13
4177
65, 4
409
22, 5
1621
47,14
2917
55, 6
4201
77,24
421
23. 6
1657
43, 8
2953
61,16
4261
68,11
433
25, 8
1669
41, 2
3001
58,n
4273
71,16
457
22, 3
1693
44, 9
3037
67,22
4297
67, 8
541
28, 9
1741
43, 6
3049
59,i2
4357
73,i8
577
25, 4
1753
46,11
3061
56, 5
4441
67, 4
601
26, 5
1777
47,12
3109
56, 3
4513
79,24
613
25, 2
1789
44, 7
3121
58, 9
4549
68, 5
661
31, i°
1801
43, 4
3169
62,15
4561
73,i6
673
26, 1
1861
44, 5
3181
59,1°
4597
68, 3
709
28, 5
1873
46, 9
3217
5^ 7
4621
68, 1
733
29, 6
1933
44, 1
3229
64,17
4657
70, 9
757
28, 3
1993
5°, x 3
3253
65,18
4729
77,2o
769
3i, 8
2017
47, 8
3301
68,21
4789
79,22
829
29, 2
2029
52,15
3313
70,23
4801
74,15
853
3i, 6
2053
55,i8
3361
58, 1
4813
80,23
877
32, 7
2089
46, 3
3373
59, 6
4861
83,26
937
37,i2
2113
46, 1
3433
59, 4
4909
76,17
997
32, 3
2137
5°, "
3457
65,16
4933
71, 6
1009
34, 7
2161
47, 4
3469
59, 2
4957
77,i8
1021
32, 1
2221
53,M
3517
67,18
4969
74,i3
1033
35, 8
2269
5 6 ,i7
3529
61, 8
4993
7i, 4
1069
37,io
2281
58,19
3541
68,19
5077
80,21
2i
242
QUADRATIC PARTITIONS.
p -
12<BT +
1 = A' 2 -
-3B' 2 ,
[A' > 3B'].
p
A' B'
P
A' B'
p.\ATW
P
A' B'
5101
76,15
6553
91,24
7873 89, 4
9277
112,33
5113
74,ii
6577
82, 7
7933:104,31
9337
"5,36
5197
85,26
6637
85,14
7993109,36
9349
116,37
5209
86,27
6661
88,19
8017
98,23
9397
97, 2
5233
74, 9
6673
95,28
8053
95,i8
9421
107,26
5281
73, 4
6709
97,3o
8089
91, 8
9433iioi,i6
5413
76,11
6733
100,33
8101
92,11
9601 98, 1
5437
83,22
6781
83, 6
8161
94,15
9613
101,14
5449
74, 3
6793
85,12
8209
97,20
9649
106,23
5521
86,25
6829
91,22
8221
92, 9
9661
112,31
5557
88,27
6841
83, 4
8233
9 1 , 4
9697
H3<32
5569
89,28
6949
89,18
8269
91, 2
9721
107,24
5581
9i,3°
6961
94,2 5
8293
104,29
9733 104,19
5641
82,19
6997
95, 26
8317
92, 7
9769 101,12
5653
79> J 4
7057
97,28
8329
94,i3
9781 116,35
5689
83,20
7069
88,15
8353 106,31
9817
118,37
5701
76, 5
7129
101,32
8377^07,32
9829 119,38
5737
77, 8
7177
85, 4
8389; 92, 5
990Hioi,io
5749
76, 3
7213
85, 2
8461: 92, 1
9949 ! io 4 ,i7
5821
77, 6
7237
88,13
8521
98,19
9973ioo, 3
5857
82,17
7297
95> 2 4
8581
103,26
5869
88,25
7309
91,18
862910427
5881
77, 4
7321
86, 5
8641
97,16
5953
94,3!
7333
89,14
8677
100,21
6037
80,11
7369
86, 3
8689
94, 7
6073
86,21
7393
86, 1
8713
106,29
6121 83,16
7417
98,27
8737
98,17
6133, 79, 6
7477
100,29
8761
94, 5
6217! 82,13
7489
80,12
8821
97, J 4
6229 79, 2
7537io3,32
8893
H5,38
6277 92,27
7549jio 4 ,33
8929
98,15
6301 83,14
756II106.35
8941
104,25
6337 97,32
7573 95,22
9001
101,20
6361 82,11
7621
89,10
9013
95, 2
6373 80, 3
7669
88, 5
9049
106,27
6397 80, 1
7681
97,24
9109
97,10
6421: 88,21
7717
88, 3
9133
100,17
6469 89,22
7741
88, 1
9157
103,22
6481 82, 9
7753
94,19
9181
109,30
6529 86,17
7789
92,15
9241
98,11
QUADRATIC PARTITIONS.
p - 20<ar + 1 = x' 2 + 5y' 2 .
243
p
x' y'
V
x' J'
p
*' J'
P
x' y'
41
6, i
2341
44, 9
5281
49,24
8081
9,40
61
4, 3
2381
24,19
5381
24,3!
8101
89, 6
101
9 , 2
2441
21,20
5441
39,28
8161
41,36
181
i, 6
2521
46, 9
5501
36,29
8221
61,30
241
14, 3
2621
$h 2
5521
74, 3
8461
91, 6
281
6, 7
2741
36,17
5581
44,2 7
8501
84,17
401
9 , 8
•-'801
39,i6
5641
14,33
8521 86,15
421
4, 9
2861
21,22
5701
16,33
8581 56,33
461
21, 2
3001
11,24
5741
69,14
8641! 89,12
521
21, 4
3041
54, 5
5801
66,17
8681
69,28
541
19, 6
3061
44,i5
5821
76, 3
8741
39,38
601
14, 9
3121
49,12
5861
9,34
8761
34,39
641
6,11
3181
56, 3
5881
74, 9
8821
1,42
661
16, 9
3221
24,23
5981
51,26
8861
84,19
701
24, 5
3301
41,18
6101
36,31
8941
11,42
761
21, 8
3361
34,2i
6121
26,33
9001
91,12
821
24, 7
3461
9,26
6221
2i,34
9041
54,35
881
6,13
3541
56, 9
6301
64,21
9161
66,31
941
21,10
3581
5h*4
6361
59,24
9181
19,42
1021
29, 6
3701
24,25
6421
79, 6
9221
96, 1
1061
9>M
3761
54,i3
6481
i,3 6
9241
94, 9
1181
24,11
3821
21,26
6521
51,28
9281
6,43
1201
34, 3
3881
5 1 , 16
6581
81, 2
9341
96, 5
1301
3 6 , '
4001
9,28
6661
71,18
9421
76,27
1321
14,15
4021
49,18
6701
24,35
9461
96, 7
1361
9,16
4201
59,i2
6761
69,20
9521
39,4o
1381
16,15
4241
6,29
6781
56,27
9601
86,21
1481
6,17
4261
56,15
6841
I 9,3 6
9661
29,42
1601
39, 4
4421
36,25
6961
79,12
9721
46,39
1621
1,18
4441
61,12
7001
66,23
9781
3 X ,42
1721
21,16
4481
66, 5
7121
54,29
9901
91,18
1741
11,18
4561
41,24
7321
29,36
9941
81,26
1801
26,15
4621
n,3°
7481
66,25
1861
41, 6
4721
54,i9
7541
81,14
1901
36,11
4801
34,2 7
7561
46,33
2081
9,20
4861
19,3°
7621
4,39
2141
36,13
5021
5 1 , 22
7681
74,2i
2161
46, 3
5081
69, 8
7741
64,27
2221
4,21 1 5101
59, 18
7841
81,16
2281
34, 15 1 5261
69,10
7901
84,13
244
QUADRATIC PARTITIONS.
p = 20w + (
) = x' 2 -
H5y".
p
x' y
P
x' y
p x' y
p x' y
2£
1 3, 2
2309
48, 1
5189
72, 1
7949 27,38
88
> 3, 4
2388
47, 6
5209
67,12
800£
> 3,4o
108
> 8, 3
2549
48, 7
5309
72, 5
8068
) 87,10
148
> 12, I
2608
42,13
5449
2,33
8088
N 22,39
228
7, 6
2689
22,21
5569
58,21
8208
1 73,24
268
12, 5
2729
27,20
5669
57,22
8269
! 68,27
349
i3, 6
2749
52, 3
5689
53,24
8328
i 43,3 6
388
12, 7
2789
12,23
5749
68,15
8369
1 57,32
409
2, 9
2909
48,11
5849
27,32
8389
28,39
449
18, 5
2969
18,23
5869
37,30
8429
48,35
509
3, IQ
3049
13,24
6029
72,13
8609
42,37
569
18, 7
3089
33,2o
6089
78, I
8629
32,39
709
23, 6
3109
52, 9
6229
28,33
8669
93, 2
769
7,12
3169
17,24
6269
I2 ,35
8689
47,36
809
27, 4
3209
42,17
6329
78, 7
8849
87,16
829
28, 3
3229
32,21
6389
63,22
8929
82,21
929
18,11
3329
57, 4
6449
18,35
8969
93, 8
1009
17,12
3389
3,26
6469
32,33
9029
57,34
1049
27, 8
3449
18,25
6529
7,36
9049
38,39
1069
32, 3
3469
43,i8
6569
42,31
9109
17,42
1109
33, 2
3529
53, J 2
6689
78,11
9209
78,25
1129
2,15
3709
8,27
6709
473°
9349
23,42
1229
27,10
3769
58, 9
6829
68,21
9629
93,M
1249
23,12
3889
62, 3
6869
33,34
9649
98, 3
1289
3,!6
3929
3,28
6949| 73,18
9689
3,44
1409
33, 8
3989
63, 2
7069 83, 6
9749
63,34
1429
32, 9
4049
63, 4
7109, 48,31
9769
83,24
1489
38, 3
4129
22,27
7129! 82, 9
9829
73,3o
1549
37, 6
4229
57,14
7229 1 3,38
9929|
93,i6
1609
22,15
4289
63, 8
7309 53,30
9949;
88,21
1669
7,18
4349
12,29
7349 63,26
1709
27,14
4409
42,23
7369, 67,24
1789
13,18
4549
7,3°
7489 62,27
1889
42, 5
4649
27,28
7529 78,17
1949
12,19
4729
43,24
7549
77,i8
2029
43, 6
4789
17,30
7589!
87, 2
2069
33,14
4889
42,25
7649
87, 4
2089
37,i2
4909
52,21
7669
8,39
2129
18,19
4969
62,15
7789
88, 3
2269
8,21
5009
33,28
7829
72,23
1
QUADRATIC PARTITIONS.
245
p = 24tr+l, 7 = G 2 + 6H 2 .
p G H
P
G H
P
G H
p' I G H
7 i, i
112<
} 23,10
231l! 31,15
36311 59, 5
3
I 5, i
115:
* 17,12
2377 29,16
3673; 53,12
7
$ 7, 2
120:
i 5> T 4
2383 37,13
3697 59, 6
79 5, 3
123"
L 35, J
2473 23,18
3727 61, 1
97 i, 4
124<
* 35, 2
2503 47, 7
3769 37,20
103 7, 3
1271
* 35, 3
2521 11,20
3793 43, 1 8
1271 ii, i
129'
r 11,14
2551 49, 5
3823 53,i3
151
I i. 5
130?
* I7»i3
2593| 47, 8
3847 41,19
19r
* I3> 2
132]
! 35, 4
261'
7 49, 6
388£
> 55,!2
191
' 7, 5
132 1 ;
7 ; 29, 9
264 h
' 1,21
391S
1 13,25
22;-
> *3, 3
139£
> 7,i5
2671
5,2i
394;
47,17
24]
5, 6
142S
: 37, 3
268£
) 17,20
3967
59, 9
27]
". 5
1447
3 T , 9
271?
43, 1 2
4057 1,26
318
17, 2
1471
IM5
271£
1 37, J 5
4111
! J 9, 2 5
337
: n ? 6
1489
25,12
2767
4129
; 35,22
367
: 19. j
1543
23,13
2791
! 25,19
4153
47,18
409
5, 8
1567
29,11
2833
53, 2
4159
53, J 5
433
7, 8
1609
35, 8
2857
41,14
4177
11,26
439
! J 7, 5
1657
11,16
2887
49, 9
4201
55, r 4
457
i9> 4
1663
37, 7
2953
7,22
4231
65, 1
463
13, 7
1753
37, 8
3001
49,10
4273
37,22
487
i, 9
1759
5, J 7
3049
55, 2
4297
29,24
577
19, 6
1777
4i, 4
3079
55, 3
4327
41,21
601
1,10
1783
7,i7
3121
55, 4
4423
7,27
607
ii, 9
1801
25, J 4
3169
35,18
4441
65, 6
631
25, 1
1831
41, 5
3217
41,16
4447
61,11
673
17, 8
1873
43, 2
3271
25,21
4513
67, 2
727
1, 11
1879
2 3> I 5
3313
37,18
4519
6 5, 7
751
5, 11
1951
35> IJ
3319
55, 7
4561
55, 16
769
13,10
1993
7,18
3343
J 3, 2 3
4567
49,i9
823
2 3, 7
1999
43, 5
3361
31,20
4591
29,25
919
2 5, 7
2017
29,14
3391
35> I 9
4639
67, 5
937
29, 4
2089
35, 12
3433
23,22
4657
59,i4
967
3 1 , 1
2113
13,18
3457
1,24
4663
17,27
991
29, 5
2137
31, 14
3463
J 7,23
4729
5,28
1009
25, 8
2143
43, 7
3511
55, 9
4759
55,i7
1033
13,12
2161
25,16
3529
25,22
4783
67, 7
1039
5»*3
2239
35,!3
3559
47>*5
4801
49,20
1063
7,13 1
41,10
3583
43, 1 7
4831
59,i5
1087
i9,n|
2287
11,19
3607
3 x ,2i
4903
23,27
246
QUADRATIC PARTITION'S.
24m +1, 7 - G' + 6ir
G H
p G H
G H
G H
4951
4969
4993
4999
5023
5113
5119
5167
5209
5233
5281
5407
5431
5449
5479
5503
5521
5527
5569
5623
5641
5647
5689
5737
5743
5791
583^
5857
5881
5953
6007
6073
6079
6121
6151
6199
6217
6247
6271
6337
65,11
17,28
25,27
43.2S
47,22
37,25
11,29
5 3, 20
23,28
35> 26
19,29
41,25
7,3<>
73, 5
67,13
n>3°
7i, 9
*3,3°
73, 7
71,10
59, J 9
*7,-3<>
41,26
37,27
5,3i
67,15
49» 2 4
59,20
77, 2
31,29
37,28
77r 5
61,20
49,25
55,23
7i,i4
79, 1
35^29
79, 4
6343
6361
6367
6481
6529
6553
6577
6607
6673
6679
6703
6793
6823
6841
6871
6961
6967
6991
7039
7057 J
7129!
7150j
7177!
7207:
7297J
7821
7351
7369!
7393
7417
7489
7537
7561
7591
7639
7681
7687
7753
7759
7873
73,i3
3 J ,3°
61,21
55,24
77,io
43,28
29,3*
23,32
73,i5
13,33
77,12
17,33
79,10
65,21
5:34
79, 11
35,3i
83, 5
ii,34
65,22
2-5,33
61,24
7i,i9
I9r34
85, 4
i,35
35,32
67,22
79> T 4
&3,i°
59,26
25r34
79.15
*7r35
65,24
71,21
83,12
35,33
77,i8
7879 23,35
7927 &q, 1
795 i
7993
8017
8161
81671
8191
8209|
8233
8263
8287
8311
8329
8353
8377
8431
8521
8527
8599
8623
8641
8647
8689
8713
8719
8737
8761
8839
8863
8887
8929
9001
9007
9049
9103
9127
9151
9199
&5,n
43,32
89, 4
S 5 ,I2
35,34
49,3 s
2"9,35
53,3°
73,22
7,37
91, 1
3*,35
77,20
47' 32
9*, 4
9*r 5
89,10
59,29
65,27
83,17
79,20
89,11
5,38
7,38
37.35
31,36
S 5 ,i6
25,37
67,27
79,21
65,28
35,36
91,11
95. 2
77,23
i,39
5,39
43,35
9241
9319
9337
9343
95, 6
95, 7
49,34
- 53,33
9391 85,19
9433
9439
9463
9511
9601
9631
9649
9679
9697
9721
9769
9817
9871
9967
97, 2
35,37
97, 3
95, 9
1,40
9!**5
7,40
77,25
79,24
11,40
13,40'
91,16
85,21
29,39*
^QUADRATIC PARTITIONS.
247
p = 24-or + 1,
19 = G''
! -6H' 2
, [G'>
3H'].
V
Gt' H'
F
O f IT
|) G'ff
p G ? H f
19
5. ■
1123
43,ii
2371
61,15
3643 1 97,31
43
7, *
1129
35, 4
2377
49, 2
3673 103,34
67
«i 3
1153
37, 6
2467
59, J 3
3691 71,15
73
i3> 4
1171
35, 3
2473
77,24
3697 61, 2
97
II, 2
1201
35, 2
2521
85,28
3739 65, 9
139
17, 5
1249
43, IO
2539
55, 9
3769J 85.24
163
13, i
1291
55, * 7
2593
53, 6
3793; 73,i6
193
17, 4
1297
41, 8
2617
59 <*2
3889 67,10
211
19, 5
1321
61,20
2659
53, 5
3907! 91,27
241
25, s
1459
53,i5
2683
73,2i
3931 65, 7
283
17, 1
1483
47,ii
2689
65,16
4003 67, 9
307
19, 3
1489
55,J6
2707
61,13
4027! 71,13
313
*3i 6
1531
41, 5
2713
53, 4
4051 85,23
331
25, 7
1579
65,21
2731
55, 7
4057 101,32
337
19, 2
1609
47,10
2803
53, 1
4099107,35
379
23, 5
1627
4i, 3
2833
83,26
4129' 65, 4
409
25, 6
1657
41, 2
2851
85,27
4153| 73» I 4
433
23, 4
1699
43, 5
2857
61,12
41771 7 1 , 12
457
29, 8
1728
47, 9
2953
67,16
4201
65, 2
499
35, 11
1747
59,*7
2971
55, 3
4219
65, 1
523
23, *
1753
43, 4
3001
55, 2
4243
83,21
547
29, 7
1777
61,18
3019
55, 1
4273
67, 6
571
25, 3
1801
49,10
3049
65,14
4297
79,18
577
3i, 8
1867
71,23
3067
79,23
4339 67, 5
601
25, 2
1873
73,24
3121
61,10
4363 97,29
619
25, 1
1987
61,17
3163
73,*9
4441
71,10
643
37>n
1993 47, 6
3169
85,26
4483
67, 1
673
43, 1 4
2011 55,i3
3187
59, 7
4507
79, J 7
691
29, 5
2017j 49, 8
3217
89,28
4513
io7,34
739
35, 9
2083
53,ii
3259
95,3i
4561
H5,38
769
37,i°
2089
67,20
3307
7M7
4603
73, 11
787
29, 3
2113
47, 4
3313
67,14
4651
95,27
811
3 1 , 5
2131
59,*5
3331
59, 5
4657
71, 8
859
47,i5
2137
71,22
3361
65,12
4723
83,19
883
37, 9
2161
55, I2
3433
83,24
4729
73, IQ
907
3 1 , 3
2179
77,25
3457
59, 2
4801
101,30
937
3 1 , 2
2203
47, 1
3499
65,11
4969
95,26
1009
35, 6
2251
49, 5
3529
77,20
4987
7i, 3
1033
47»M
2281
65,18
3547
89,27
4993
113,36
1051
49, 1 5
2347
49, 3
3571
61, 5
5011
H5-37
p = 24w+l,
19 = G
2 -6H'
\ [CK>
3H']
p
G' H'
p G' H'
p ; G' H!
V
G' H'
5059
85,19
6451
101,25
7963 103,21
9403 97, 1
5107
9^23
6481
109,30
7993107,24
9433103,14
5113
73. 6
6529
127,40
8011 95,13
9547.i5i,47
5179
73, 5
6547
9M7
8017!fi 9 ,32
9601|ioi,io
5209
103,3°
6553
103,26
8059
97,i5
9619i55,49
5227
79,i3
6571 89,15
8089
i33i4o
9643
!37,39
5233
73, 4
6577
13M2
8161
95,i2
9649
r 57,5o
5281
85,18
6619
J 37,45
8179
115,29
9697
161,52
5323
73, 1
6673
83, 6
8209
103,20
9721
i39,4o
5347
io9,33
6691
n5,33
8233
97,14
9739
r °7,55
5419
H3,35
6763
97,21
8329
145,46
9769
115,24
5443
77, 9
6793
^3, 4
8353
127,36
9787
119,27
5449
^5,36
6841| 85, 8
8377
149,48
9811
J 3i,35
5521
89,20
6883J 83, r
8419
^s 1
9817
101, 8
5563
103,29
6907 89,13
8443
103,19
9859
l2 5,3*
5569
95, 2 4
6961|i2 5 , 3 8
8467
101,17
9883
103,11
5641
79,10
7027lioi,23
8521
115,28
9907
101, 7
5659
97,25
7057 89,12
8539
95, 9
9931
M5,43
5683
107,31
7129 85, 4
8563
T 33,39
5689
85,16
7177jio 9 ,28
8641
95, 8
5737
109,32
7219 85, 1
8689
125,34
5779
77, 5
7243 97,19
8707
100,23
5827
101,27
7297|ioi,22
8713
113,26
5851
95,23
7321, 89,10
8731
95, 7
5857
79, 8
7369*13,30
8737
139,42
5881
91,20
7393107,26
8761
119,30
5923
77, 1
7411125,37
8779
127,35
5953
97,24
7417| 91,12
8803
107,21
6043
127,41
7459|iis,3i
8923
97, 9
6067
i3i,43
7489 95, 1 6
8929
95, 4
6073
133,44
7507sio9,27
8971
95, 3
6091
79, 5
7537 89, 8
9001
95, 2
6121
95,22
7561 131,40
9043
157,5!
6163
83,11
7603 133,41
9049
107,20
6211
85,i3
7681 91, to
9067
l6l ,53
6217
79, 2
7699 107,25
9091
125,33
6337!
91,18
7723113,29
9187
101,13
6361!
85,12
7753 143,46
9241
121,30
6379|
95,2i
7867 89, 3
9283 107,19
6427i
121,37
7873 97,t6
9337 101,12
QUADRATIC PARTITIONS. 249
p = 28w+ 1, 9, 25 = t ,2 -7u' 2 , [if > 3u'].
p \t' u'
39
t' 11'
p
t' u'
V
t' u'
29
6, i
1117
37, 6
2333
66,17
3581
117,38
37
to, 3
1129
52,15
2377
100,33
3593
60, 1
53
9 , 2
1201
47,12
2381
78,23
3613
106,33
109
19, 6
1213
59,i8
2389
74,21
3637
82,21
113
15, 4
1229
5**4
2417
60,13
3677
102,31
137
12, 1
1289
36, 1
2437
5°, 3
3697
113,36
149
18, 5
1297
73, 2 4
2473
59,i2
3733
94,27
193
16, 3
1373
69,22
2521
64,15
3761
81,20
197
15, 2
1381
38, 3
2549
57,io
3833
75, J 6
233
24, 7
1409
39, 4
2557
53, 6
3889
89,24
277
23, 6
1429
41, 6
2633
99,32
3917
93,26
281
27, 8
1453
61,18
2657
72,19
3929
123,40
317
18, 1
1481
72,23
2689
76,21
4001
72,13
337
20, 3
1493
39, 2
2713
61,12
4013
66, 7
373
25, 6
1549
46, 9
2741
54, 5
4057
68, 9
389
33>i°
1597
43, 6
2753
60,11
4153
U5,36
401
24, 5
1621
82,27
2797
58, 9
4201
76,15
421
22, 3
1709
78,25
2801
57, 8
4229
ni,34
449
3 6 ,n
1733
54,i3
2837
87,26
4253
75,H
457
32, 9
1789
58,15
2857
83,24
4337
72,11.
541
46,15
1801
53,i2
2909
54, 1
4349
66, 1
557
3o> 7
1873
44, 3
2969
69,16
4397
90,23
569
24, 1
1877
57,i4
3049
68,15
4421
U4,35
613
26, 3
1901
5 1 , 10
3061
73,i8
4481
132,43
617
27, 4
1913
45, 4
3089
108,35
4517
102,29
641
33, 8
1933
5°, 9
3109
97,3o
4561
68, 3
653
45, J 4
1997
45, 2
3137
57, 4
4621
83,18
673
41,12
2017
55, 12
3217
65,12
4649
69, 4
701
27, 2
2053
4 6 , 3
3221
57, 2
4657
88,21
709
$*s 6
2069
54,ii
3229
59, 6
4673
135,44
757
55,i8
2081
87,28
3257
60, 7
4729
124,39
809
$1,16
2129
48, 5
3301
58, 3
4733
69, 2
821
39,io
2137
52, 9
3313
80,21
4789
71, 6
877
38, 9
2153
5*i 8
3329 96,29
4813
13^42
953
36, 7
2213
90,29
3361 92,27
4817
120,37
977
33, 4
2221
67,18
3389 69,14
4909
74, 9
1009
64,21
2237
75,22
3413ji i4,37
4937
108,31
1033
40, 9
2269
62,15
3469
61, 6
4957
85,18
1061
33, 2
2293
86,27
3529
64, 9
4993
95,24
1093
34, 3
2297
48, I
3557
78,19
5009
72, 5
2k
250
QUADRATIC PARTITIONS.
p = 28<or+ 1, 9, 25 = f 2 -7u /2 , [f > 3u'].
P
t' u'
p 1 t' u'
P
t' u'
P
t' a'
5021
123,38
6553
125,36
7933
101,18
9293
114,23
5077
73. 6
6577
103,24
7949
93, IO
9349
166,51
5153
111,32
658lii62,53
8009
99,16
9377
177,56
5189
81,14
6637
83, 6
8017
95, 12
9433 100, 9
5209
76, 9
6661
82, 3
8089
i3 J ,36
9437
162,49
5233
79,12
6673
15^48
8093
90, 1
9461
138,37
5237
78,11
6689
96,19
8101
143,42
9473
129,32
5261
93,22
6701
102,23
8117
135,38
9521
111,20
5273
144,47
6829
86, 9
8233
176,57
9601
103,12
5413
74, 3
6833
111,28
8269
94, 9
9613
109,18
5441
129,40
6841
172,57
8297
165,52
9629
198,65
5569
121,36
6857
93,!6
8317
190,63
9661
106,15
5573
90,19
6869
87,10
8353
116,27
9689
99, 4
5581
109,30
6917
9 ,!3
8369
96,11
9697
137,36
5653
89,18
6997
110,27
8429
99, 1 4
9769
187,60
5657
132,41
7001
99,20
8513
120,29
9781
122,27
5693
i5°,49
7057
127,36
8521
157,48
9829
127,30
5737
128,39
7109ii 14,29
8537
93, 4
9857
153,44
5741
78, 7
7121
87, 8
8597
153,46
9941
183,58
•5749
94,21
7177
88, 9
8677
*45,42
9949
101, 6
5821
86,15
7193
96,17
8681
141,40
5849
93,20
7253
90,11
8689! 1 6a, 5 1
5861
81,10
7309
!34,39
8737ii3,24
5881
83,12
7333
86, 3
8761
128,33
6029
102,25
7393
160,51
8821
118,27
6073
149,48
7417
107,24
8849
132,35
6101
138,43
7457
87, 4
8929
152,45
6113
81, 8
7477
^7,54
8933 111,22
6133
106,27
7529
i5 6 ,49
8941 178,57
6197
87,14
7541
87, 2
8969i 44 , 4 i
6217
85,12
7561
181,60
9013,iio,2i
6269
114,31
7589
111,26
9041 96, s
6301
JI 8,33
7669
89, 6
9109
199,66
6329
141,44
7673
120,31
9137
108,19
6337
80, 3
7681
88, 3
9157
97, 6
6353
159,52
7753
124,33
9181
107,18
6421
137,42
7757
90, 7
9209
96, 1
6449
81, 4
7793
144,43
9221102,13
6469 ; 1 13,30
7841
!32,37
9241 104,15
6521117,32
7877
102,19
92771130,33
QUADRATIC PARTITIONS. 251
p = 40w+l, 9, 11, 19 = $*+l(hj a .
p
£ v
P
£ v
P
£ V
P 1
£ 1
11
h i
1051
31, 3
2339
43, 7
3529
17,18
19
3, i
1091
29, 5
2371
n,i5
3539
43, 1 3
41
I, 2
1129
33, 2
2411
49, 1
3571
59, 3
59
7, i
1171
19, 9
2441
49, 2
3659
7, J 9
89
7, 2
1201
29, 6
2459
47, 5
3691
9,19
131
ii, i
1249
33, 4
2521
39,io
3739
57, 7
139
7, 3
1259
7,ii
2531
29,13
3761
61, 2
179
'3, i
1289
17,10
2539
17,15
3769
23,18
211
«> 3
1291
9,11
2579
37,ii
3779
i3,!9
241
9, 4
1321
Sh 6
2609
7,16
3851
3M7
251
i. 5
1361
19,10
2659
43, 9
3881
61, 4
281
ii, 4
1409
37, 2
2689
27,14
3889
57, 8
331
9, 5
1451
3 1 , 7
2699
47, 7
3929
37,i6
379
i7> 3
1459
37, 3
2729
13, 16
3931 41,15
401
19, 2
1481
29, 8
2731
39,ii
4001j 1,20
409
7, 6
1489
7,12
2801
29,14
4019| 53,ii
419
*3, 5
1499
17,11
2819
53, 1
4049J 7,20
449
i7, 4
1531
39, *
2851
5*i 5
4051 21,19
491
1. 7
1571
19,11
2939
7,i7
4091! 49,13
499
3, 7
1579
33, 7
2969
53, 4
4099] 43,15
521
i9, 4
1601
31, 8
2971
9,i7
4129 63, 4
569
23, 2
1609
I3,!2
3001
21,16
4139! 23,19
571
9, 7
1619
37, 5
3011
11,17
42011 31,18
601
21, 4
1699
3,i3
3019
47, 9
4211 61, 7
619
23, 3
1721
41, 2
3041
49, 8.
4219
63, 5
641
1, 8
1801
19,12
3049
33, J 4
4241
41,16
659
13, 7
1811
11,13
3089
23,16
4259 37,17
691
21, 5
1889
43, 2
3121
41,12
4289
17,20
739
27, 1
1931
41, 5
3169
53, 6
4339
27,19
761
11, 8
1979
i7,i3
3209
47,io
4409
43, l6
769
27, 2
2011
39, 7
3251
i9,i7
4441
21,20
809
i3, 8
2081
11,14
3259
57, 1
4451
29,19
811
h 9
2089
33, IQ
3299
53, 7
4481
59,io
859
7, 9
2099
43, 5
3329
37,M
4561
5M4
881
29, 2
2129
13^4
3331
21,17
4649
67, 4
929
17, 8
2131
21,13
3361
11,18
4651
49, 1 5
971
3 1 , 1
2161
39, 8
3371
41,13
4691
59,ii
1009
3,io
2179
37, 9
3449
53, 8
4721
61,10
1019
23. 7
2251
ii*5
3491
59, 1
4729
27,20
104^
1 7,io
1
2281
29,12
3498
57, 5
4801
69, 2
252 QUADRATIC PARTITIONS.
p m 40w+ 1, 9, 11, 19 = ?+ 10t? 2 .
V
t V
P
i v
P
i v
P € V
488<
) 7,22
6451 69,13
8011 89, 3
9491 9Mi
4931
. 6i,n
6481 71,12
8059 87, 7
9521 41,28
496£
) 63,10
6491 79, 5
8081 89, 4
9539 77,i9
500£
) 13,22
652]
L 41,22
8089 57,22
9601! 69,22
501]
69, 5
652!
) 63,16
816]
[ 49,24
9619 3,31
5051
7i, 1
656<
) 77, 8
817]
1 89, 5
9649 93,io
5059
53,15
6571
L 81, 1
8179 77,i5
9689 43,28
5081
71, 2
661<
) 47,21
820£
) 87, 8
9721
- 91,12
5099
47,i7
665£
> 37,23
8219
> 73,i7
9739 73,21
5171
59,13
6689
1 43,22
8291
91, 1
9769
1 97, 6
5179
63,11
6691
21,25
8329
83,12
9811
1 99, 1
5209
57,i4
6761
1,26
8369
23,28
9851
79,i9
5281
21,22
6779
23,25
8419
3,29
9859
; 93,11
5419
73, 3
6841
9,26
8521
81,14
9929
77,2o
5441
59,14
6899
83, 1
8539
57,23
9931
\ 39,29
5449
47,i8
6961
61,18
8609
43,26
5521
39,2o
6971
41,23
8641
91, 6
5531
7i, 7
7001
7i,i4
8681
29,28
5569
27,22
7019
73,i3
8689
93, 2
5641
49,18
7121
19,26
8699
17,29
5651
19,23
7129
37,24
8731
89, 9
5659
6 3,i3
7211
31,25
8761
69^0
5689
73, 6
7219
53,2i
8779
87,11
5779
37,2i
7321
69,16
8819
77,17
5801
31,22
7331
61,19
8849
83,14
5849
43,2o
7369
77,12
8929
33,28
5851
7i, 9
7411
11,27
8969
47,26
5881
11,24
7451
79,"
8971
41,27
5939
77, 1
7459
13,27
9001
1,30
6011
49,i9
7481
59,2o
9011
61,23
6089
77, 4
7489
27,26
9041
71,20
6091
41,21
7499
47,23
9049
7,3o
6121
19,24
7529
83, 8
9059
53,25
6131
29,23
7561
81,10
9091
9 1 , 9
6211
5i,i9
7649
53,22
9161
49,26
6299
7,25
7681
79,12
9209
37,28
6329
73, IQ
7691
49,23
9241
59,24
6361
39,22
7699
^ 9
9281
91,10
6379
33,23
7841
1,28
9371
3 J ,29
6449
67,14
8009
13,28
9419
97, 1
QUADRATIC PARTITIONS.
253
p = 40w+ 1, 9, 31, 39 - ^-lO/, [{' > -yV].
p
e i
p
e- v'
P
£' v f
P
? i
3]
n, 3
1049 33, 2
239<
> 93,25
3769 1 13,30
41
9, 2
1129 83,24
2441
- 5i, 4
388]
■ 141,40
71
9. i
1151 69,19
252]
- 91,24
3889 73,12
7£
1 i3, 3
120llioi,3o
2551
I5i,45
3911
. 111,29
88
► 27, 8
1231 59,i5
2591
5i, 1
391*
> 173,51
151
3i, 9
1249 1 67,18
2608
57, 8
392£
► 63, 2
191
2 i, 5
1279 37, 3
2671
59, 9
4001
81,16
198
i7, 3
1289! 57,i4
2688
77,i8
4048
153,44
239
2 7, 7
1319 87,25
2711
111,31
4078
117,31
241
41,12
1321| 41, 6
2719
53, 3
4111
139,39
271
19, 3
1361 39, 4
2729
87,22
4129
67, 6
281
11, 4
1399 47, 9
2791
7i,i5
4159
107,27
311
39,ii
1409 63,16
2801
69,14
4201
131,36
359
57,i7
1439,ii7,3.1
2879
I2 3,35
4231
7i, 9
401
21, 2
1471
61,15
2969
63,10
4241
171,50
409
43, 1 2
1481
39, 2
2999
57, 5
4271
69, 7
431
21, 1
1489
43, 6
3001
79,18
4289
177,52
439
23, 3
1511
39, 1
3041
99,26
4391
129,35
449
33, 8
1559
57,13
3049
67,12
4409
207,62
479
27, 5
1601
51,10
3079
73,i5
4441
101,24
521
39,io
1609
103,30
3089
57, 4
4481
111,28
569
27, 4
1721
81,22
3119
147,43
4519
73, 9
599
33, 7
1759
43, 3
3121
59, 6
4561
149,42
601
31, 6
1801
71,18
3169
127,36
4591
109,27
631
71,21
1831
79,21
3191
159,47
4639
83,15
641
5i,i4
1871
69,17
3209
57, 2
4649
93,2o
719
27, 1
1879
H3,33
3271
H9,33
4679
87,i7
751
29, 3
1889
93,26
3319
103,27
4721;
69, 2
761
69,20
1951
i3i,39
3329
63, 8
4729
133,36
769
47,12
1999
53, 9
3359
93,23
4751
69, 1
809
87,26
2039
57,ii
3361
61, 6
4759
193,57
839
33, 5
2081
111,32
3391,
59, 3
4799
i47,4i
881
39, 8
2089
73,i8
3449
117,32
4801
79,i2
911
5i,i3
2111
5i, 7
351l!
89,21
4831
211,63
919
73,2i
2129
n7,34
3529
163,48
4871
81,13
929 !
33, 4
2161
89,24
3559;
^37,39
4889
^23,32
991
91,27
2239
67,15
3631
61, 3
4919
t53,43
1009
37, 6
2281
61,12
3671
81,17
49511
7i, 3
1031;
39, 7
2311
49, 3
3719
63, 5
4969
73, 6
1039
43. 9
2351
5i» 5
3761
1
69,10
4999
l
97,21
254 QUADRATIC PARTITIONS.
p = 40w + 1, 9, 31, 39 = | /2 -10rj' 2 , [£' > -^tj'].
p
(' v'
P
i'j
p ! e v'
P
£' v'
5009
87,16
6481
89,12
7951
101,15
9319
97, 3
5039
93,*9
6521
81, 2
8009
93, 8
9391 101, 9
5081
129,34
6529
^ 6
8039
207,59
9431in,i7
5119
77, 9
6551
81, 1
8081
171,46
9439; 1 57,39
5209
203,60
6569
87,10
8089
T 93,54
9479183,49
5231
17^49
6599
i53,4i
8111
99,i3
9511239,69
5279
117,29
6679
233,69
8161
i3 I ,3°
9521219,62
5281
221,66
6689
93,H
8191
9 1 , 3
9551 99, 5
5351
81,11
6719
123,29
8209
107,18
9601301,90
5399
183,53
6761
201,58
8231
129,29
9631, 109, 1 5
5431
79, 9
6791
159,43
8311
169,45
9649197,54
5441
141,38
6841
91,12
8329
263,78
9679i73,45
5449
83,12
6871
119,27
8369
123,26
9689 117,20
5471
i89,55
6911
99,i7
8431
!39,33
9719i 53 ,37
5479
113,27
6959
93,*3
8521
211,60
9721i8i,48
5519
123,3!
6961
101,18
8599
97, 9
97691 137,30
5521
169,48
6991
149,39
8609
93, 2
9791 t 99, 1
5569
77, 6
7001
219,64
8641
109,18
9839,123,23
5591
201,59
7039
107,21
8681
189,52
9871 ! i 3 i,2 7
5639
207,61
7079
87, 7
8689
!33,3°
9929237,68
5641
121,30
7121
231,68
8719
203,57
5689
107,24
7129
127,30
8761
101,12
5711
219,65
7151
i7i,47
8831
261,77
5791
101,21
7159
97,i5
8839
127,27
5801
99,20
7321
i9 J ,54
8849
117,22
5839
77, 3
7351
121,27
8929
163,42
5849
117,28
7369
103,18
8951
279,83
5879
87,13
7481
111,22
8969
x 53,38
5881
79, 6
7489
i43,3 6
8999
297,89
6079
83, 9
7529
87, 2
9001
179,48
6089
93, l6
7559
87, 1
9041
201,56
6121
109,24
7561
89, 6
9049
97, 6
6151
79, 3
7591
i5i,39
9151
221,63
6199
103,21
7639
167,45
9161
99, 8
6271
i3i,33
7649
93,i°
9199
107,15
6311
81, 5
7681
209,60
9209
207,58
6329
177,5°
7759,253,75
9239
177,47
6359
87,11
7841| 99,14
9241
; 149,36
6361
r 39,36
7879|i 37 ,33
9281
159,40
16449
183,52
7919
147,37
9311
; 99, 7
1
QUADRATIC PARTITIONS.
255
p
= 44-W +
1, 5, 9
, 25, 37 -
= v' 2 -]
Llw' 2 , [
v' > ^w 7 ].
V
v'w'
P
V w'
p
V w'
p
V w'
5
4, i
1093
57,H
2357
49, 2
3701
95,22
37
9, 2
1109
47,10
2377
54, 7
3733
68, 9
53
8, i
1153
63,16
2381
59,io
3793
63, 4
89
IO, I
1181
35, 2
2473
58, 9
3821
64, 5
97
14, 3
1193
37, 4
2557
5*i 2
3833
62, 1
113
17, 4
1213
72,19
2621
61,10
3853
72,11
137
26, 7
1237
81,22
2633
53, 4
3877 84,17
157
16, 3
1277
56,13
2677
79,18
3881 91,20
181
15, 2
1301
49,10
2689
95,24
3917
76,13
229
25, 6
1321
45, 8
2693
52, 1
4013
107,26
257
3i, 8
1373
52,11
2729
98,25
4049
65, 4
269
37,io
1409
65,16
2753
82,19
4057
69, 8
313
18, 1
1433
38, 1
2777
59, 8
4073
83,16
317
19, 2
1453
43, 6
2797
104,27
4093
67, 6
353
23, 4
1489
42, 5
2861
56, 5
4129
90,19
389
20, 1
1549
80,21
2897
119,32
4217
86,17
397
21, 2
1609
5°, 9
2909
125,34
4229
73,io
401
26, 5
1621
64,15
2953
62, 9
4261! 1 19,30
421
39, IQ
1637
41, 2
2957
91,22
4273
103,24
433
42,11
1697
49, 8
3001
74,i5
4337
71, 8
449
25, 4
1709
53,io
3037
56, 3
4349
68, 5
509
28, 5
1721
70,17
3041
70,13
4357
89,18
521
35, 8
1741
60,13
3061 60, 7
4409
85,16
577
26, 3
1753
42, 1
3089, 58, 5
4481
134,35
617
34, 7
1873
82,21
3169! 87,20
4493
92,19
641
50,13
1901
85,22
3217io6,27
4513
137,36
653
53tl4
1973
97,26
3221: 80,17
4621
155,42
661
56,15
2017
46, 3
3257jio 9 , 2 8
4657
79,12
709
40, 9
2029
48, 5
33011 76,15
4673
118,29
757
36, 7
2069
65,14
3389 67,10
4733
83,14
773
28, 1
2113
78,19
3413i27,34
4789
108,25
797
29, 2
2137
61,12
3433,133,36
4801
70, 3
829
35, 6
2161
81,20
3457; 71,12
4877
101,22
881
34, 5
2237
64,13
3469J 75,14
4889
70, 1
929
70,19
2269
60,11
3529 ! io2,25
4909
72, 5
977
41, 8
2281
90,23
3557 64, 7
4933
73, 6
1013
32, 1
2293
48, 1
3613 92,21
4937
74, 7
1021
36, 5
2297
74,i7
3617 74,13
4973:i33,34
1049
35, 4
2333
67,14
3677 61, 2
5009| 97,20
1061
40, 7
2341
96,25
3697
111,28
5021
!36,35
256 QUADRATIC PARTITIONS.
p = 44w+ 1, 5, 9, 25, 37 = v^-llV 2 , [V > ^w'].
p
v' w'
P
v' w'
P
V w'
P
V w'
5113
107,24
6449
82, 5
7753
162,41
9029
140,31
5153
73, 4
6469 87,10
7789 133,30
9109 100, 9
5197
84,13
6473 ! i58, 4 i
7793io3,i6
9133,203,54
5237
76, 7
6521
85, 8
7841|i46,35
9157 169,42
5261
160,43
6581
116,25
7877
89, 2
9161 206,55
5273
163,44
6637
101,18
7901
115,22
9221
215,58
5281
166,45
6653
173,46
8009
122,25
9241
221,60
5333
113,26
6689 142,35
80171129,28
9277156,37
5393
82,11
6733
188,51
8053177,46
9293io7,i 4
5413
87,14
6737
191,52
8089 90, 1
9337|i 4 6,33
5417
106,23
6781
84, 5
8101 180,47
9377io6,i 3
5437
116,27
6829
85, 6
8209
105,16
9397159,38
5449
75, 4
6857
86, 7
8221
189,50
9421139,30
5501
76, 5
6869
95, J 4
8233ji 5 8, 39
9461 100, 7
5569
138,35
6917
i5!,38
8237' 91, 2
9497ioi, 8
5581
75, 2
6961
135,32
8273 98,11
9601135,28
5641
85,12
6977
94,i3
82971 94, 7
9629i 5 2,35
5657
94,i7
6997
111,22
8317 109,18
9661ii5,i8
5669
112,25
7001
125,28
8353207,56
9689 190,49
5701
105,22
7109
160,41
8369,ii3,2o
9733i68,4i
5801
101,20
7121
86, 5
8429148,35
9749193,50
5813
128,31
7129; 98,15
8501124,25
9769 155,36
5857
81, 8
7177ii4,23
8537ii3i,28
9817jii4,i7
5861
80, 7
7253
97,i4
8573 112,19
9857199,52
5897
i3 J ,32
7297
86, 3
8581
120,23
9901 100, 3
6029
100,19
7309
172,45
8629
95, 6
9949
205,54
6037
96,17
7349
175,46
8669
100,11
6053
137,34
7393
87, 4
8677
96, 7
6073
78, 1
7417
181,48
8693
127,26
6121
114,25
7481
109,20
8713
98, 9
6197
79, 2
7489
190,5!
8737
94, 3
6229
127,30
7517
196,53
8761
106,15
6257
146,37
7529
202,55
8837
119,22
6301
80, 3
7549
93, IQ
8849
95, 4
6317
149,38
7561
90, 7
8893
147,34
6329
I3Q.3 1
7573
92, 9
8933
188,49
6337
89,12
7577
91, 8
8941
96, 5
6361
94,i5
7621
140,33
8969 163,40
6373
!52,39
7649
130,29
9001126,25
6389
80, 1
7681
i59,4o
9013 97, 6
QUADRATIC PARTITIONS.
257
p or 2p = t 2 ±Du 2 , [D = 13, 14].
t 2 +13u 3
t 2 -13u 2
t 2 -13u 2
t 2 +14u 2
t 2
-14u 2
ISt > 65u
18t > 65u
jp l
t>4u
P
t
u
P
t
u
P
t U
p <fc
2p
t
u
P
t U
17
2,
1
3 4,
1
467372,103
23
3,
1
11
5, 1
29
4,
1
17 15,
4
491) 72, 19
2.71
4,
3
43
J 3, 3
53
h
2
23, 6,
1
503 114, 31
2.79
12,
1
67
9, 1
61
3,
2
29; 9,
2
521 27, 4
2.113
10,
3
107
11, 1
101
7,
2
43 76,
21
523 100, 27
127
i,
3
113
13, 2
113 io,
1
53 51,
14
547 i 40, 9
137
9,
2
137
*9> 4
157j 12,
1
61 23,
6
563; 24, 1
151
5,
3
163
17, 3
173 ii,
2
79 14,
3
569i89, 52
2.191
16,
3
179
23, 5
181! 8,
3
101 123,
34
57l|i6 4j 45
2.193
6,
5
193
33, 8
233! 5 ,
4
103, 34,
9
599| 66, 17
233
3,
4
211
i5, 1
257 7 ,
4
107| 48,
!3
6OII347, 96
239
J 5,
1
233
17, 2
269 1 6,
1
113,159,
44
607
250, 69
2.263
20,
3
281
41, 10
277
15,
2
127
98,
27
641
63, 16
281
J 5,
2
331
45, I][
313
14,
3
131
12,
1
647
150, 4i
2.337
18,
5
337
29, 6
337
18,
1
139
16,
3
653225. 62
359
3,
5
347
19, 1
373
16,
3
157
25,
6
659
36, 7
2.401
26,
3
379
27, 5
389! 8,
5
173
15,
2
673
i75, 48
431
9,
5
401
25, 4
433 15,
4
179 84,
23
677
27, 2
449
15,
4
443
53, 13
521! 1 4|
5
18liio9,
30
701
57, i4
2.457
30,
1
449
43, 10
569 19,
4
19l| 42,
11
719
54, 13
2.463
24,
5
457
3 1 , 6
601 22,
3
199!2o6,
57
727i22, 33
487
19,
3
491
29, 5
641 2,
7
211 56,
15
751
35 8 , 99
2.569
2,
9
499
25, 3
653 4,
7
233 21,
4
757
35, 6
2.599
8,
9
547
41, 9
673 6,
7
251
24,
5
797
297, 82
2.617
10,
9
569
25, 2
677 25,
2
257
33,
8
809
147, 40
2.631
24,
7
571
61, J 5
701 8,
7
263
30,
7
823
466,129
2.641
34,
3
617
29, 4
757 17,
6
269
81,
22
829
71, 18
673
T 3,
6
641
65, 16
797 28,
1
277
67,
18
857
333, 92
743
27,
1
659
55, J 3
809 22,
5
283
20,
3
859
2 72, 75
751
^5,
3
673
27, 2
829 19,
6
311
18,
1
881
33, 4
2.809
22,
9
683
37, 7
857 5,
8
313
131,
36
883
44, 9
2.823
36,
5
739
33, 5
881 7,
8
337
47,
12
887
30, 1
2.863
40,
3
809
47, IO
937 27,
4
347
192,
53
907
3 2 , 3
911
15,
7
827
29, I
953 11,
8
367
22,
3
911 222, 61
2.919
12,
11
883
57, J 3
997 23,
6
373
29,
6
919
62, 15
953
27,
4
907
5 1 , I][
389
21,
2
937
53, I2
967
29,
3
947
3i, 1
419
264,
73
953
405,112
977
9,
8
953
43, 8
433
89,
24
971
36, 5
2.991
36,
7
977
61, 14
439
58,
15
991
82, 21
443
300,
83
997
283, 78
2l
258
QUADRATIC PARTITIONS.
p or 9p = t 2 ±Dn 2 , [D = 15, 17].
t 2 +15u 2
t 2 -15u 2
t 2 +17u 2
t 2 -17u 2
t 2 -17u 2
t>5u
„
4t > 17u
1 4t>17u
P
t
u
P
t u
9p
t
u
P
t
u
2>
t u
19
2,
1
6l| 11, 2
9.13 10,
1
18 9,
2
461
23, 2
31
4,
1
109 13, 2
53
6,
1
19 6,
1
463
36, 7
611 i,
2
181
14, 1
9.89
28,
1
43 14,
3
467
22, 1
79 8,
1
229
17, 2
9.101
29,
2
47 8,
1
491
58, 13
109' 7,
2
241
16, 1
9.137
3 1 ,
4
53 11,
2
509
47, IO
139 2,
3
349
22, 3
149 9,
2
59 22,
5
523
I 26, 3
151 4 ,
3
409
28, 5
157i 2,
3
67 30,
7
557
25, 2
181 n,
2
421
31, 6
9.229 19,
10
831 10,
1
563
74, 17
199
8,
3
541
26, 3
9.257
35,
8
89 19,
4
569
29, 4
211
14,
1
601
29, 4
281
3,
4
1011 13,
2
577
55, I 2
229
*3j
2
661
26, 1
293
J 5,
2
103! 16,
3
587
82, 19
241
i,
4
709
38, 7
349
14,
3
127! 12,
1
593
4i, 8
271
1 6,
1
769
28, 1
353
9,
4
137! 35,
8
599
3 2 , 5
331
i4,
3
829
37, 6
9.373
22,
13
149 43,
10
613
35, 6
349
17,
2
9.389
38,
11
151 24,
5
631
28, 3
379
2,
5
409
16,
3
157
15,
2
647
52, 11
409
T 3,
4
9.421
61,
2
179
14,
1
659
26, 1
421
19,
2
9.433
53,
8
191
3 2 ,
7
661
27, 2
439
8,
5
9.457
64,
1
223
40,
9
701
49, 10
499
22,
1
461
6,
5
229
29,
6
727
60, 13
541
1.
6
509
21,
2
239
16,
1
733
79, 18
571
14,
5
9.557
4i,
14
251
26,
5
739
46, 9
601
19,
4
569
12,
5
257
2 3,
4
757
37, 6
619
22,
3
9.577
56,
11
263
56,
13
761
43, 8
631
16,
5
593
24,
1
271
64,
15
769
87, 20
661
11,
6
613
1,
6
281
37,
8
773
29, 2
691
26,
1
661
7,
6
293
19,
2
797
95, 22
709
13,
6
9.701
79,
2
307
18,
1
829
in, 26
739
2,
7
733
11,
6
331
22,
3
859
54, 11
751
4,
7
9.757
59,
14
349
3i,
6
863
76, 17
769
23,
4
9.761
44,
17
353
25,
4
883
3°, 1
811
26,
3
9.769
28,
19
359
28,
5
919
84, 19
829
17,
6
9.773
^
2
373
21,
2
937
45, 8
859
22,
5
797
27,
2
383
20,
!
953
35, 4
919
28,
3
9.829
78,
9
389
61,
H
967
92, 21
991
16,
7
937
28,
3
409
69,
16
97l!
62, 13
9.953
88,
7
421
77,
18
977|
73, 16
977
12,
7
433
443
457
39,
50,
27,
8
11
4
QUADRATIC PARTITIONS.
259
p or 4p =
= t 2 ±Du 2 ,
[D
= ]
L9].
t 2 + 19u 2
t 2 + 19u 2
t 2 -19u 2
p &
4p
t
u
4p 1 t
u
■
13t > 57u
4.5
i,
1
4.463
41,
3
5
9) 2
4.7
3,
1
4.467
43,
1
17
6, 1
4.11
5,
1
479
2,
5
61
40, 9
4.17
7,
1
491
4,
5
73
53, 12
23
2,
1
4.499 39,
5
101
24, 5
4.43
i,
3
503
22,
1
137
21, 4
4.47
J 3,
1
4.541
25,
9
149
15, 2
4.61
i5,
1
4.557
47,
1
157
29, 6
4.73
ii,
3
571
20,
3
197
84, 19
4.83
1 6,
2
4.577
3,
11
229
20, 3
101
5,
2
4.587i 7,
11
233
123, 28
4.131
7,
5
593 17,
4
277
31, 6
4.137
23,
1
4.613 39,
7
313
22, 3
4.139
9,
5
4.617 13,
11
349
68, 15
4.149
ii,
5
619 12,
5
353
102, 23
157
9,
2
4.63l| 15,
11
389
60, 13
163
12,
1
4.643; 49,
3
397
44, 9
4.191
i7,
5
4.647 17,
11
457
94, 21
197
ii,
2
4.653 41,
7
461
180, 41
4.199
25,
3
4.691 35;
9
541
35, 6
4.229
21,
5
7011 25,
2
557
24, 1
4.233
1,
7
709 5,
6
577
46, 9
4.239
5,
7
4.719 49,
5
593
78, 17
4.251
23,
5
4.727
37,
9
613
28, 3
4.263
11,
7
733
7,
6
617
54, 11
271
10,
3
4.739
45,
7
653
27, 2
4.277
33,
1
4.757
27,
11
701
51, i°
4.283
3i,
3
4.761
55,
1
709
185, 42
4.311
35,
1
4.769
5i,
5
733
83, 18
313
3,
4
4.809
5,
13
757
224, 51
4.347
37,
1
4.821
53,
5
761
75, 16
4.349
35,
3
4.823
9,
13
769
25°, 57
353
7,
4
853
13,
6
809
45, 8
4.359
3i,
5
4.859
i5,
13
821
36, 5
367
14,
3
4.881
35,
11
853
32, 3
4.389
25,
7
4.883
5i,
7
881
3°, 1
4.397
7,
9
919
30,
1
929
i77, 40
419
20,
1
929
25,
4
937
109, 24
4.443
29,
7
4.937
47,
9
997
41, 6
4.457
17,
9
947
4,
7
4.461
37,
5
967
4.997
6,
63,
7
1
260 QUADRATIC PARTITIONS.
Least Solutions of t 2 -D.v 2 = ±1, [D zfc 8 J and > 100],
T 2_
D.i/ 2
- +1
D
T V
D
T
V
D
T
V
2
3, 2
47
48,
7
46
24335,
3588
3
2, I
48
7,
1
53
66249,
9100
5
9, 4
50
99,
14
58
I9603,
2574
6
5, 2
51
5°,
7
61
1766319049,226153980
7
8, 3
52
649,
90
67
48842,
5967
8
3, I
54
485,
66
73
2281249,
267000
10
19, 6
55
89,
12
76
57799,
6630
11
10, 3
56
15,
2
85
285769,
30996
12
7, 2
57
151,
20
86
10405,
1122
13
649, 180
59
53o,
69
89
500001,
53000
14
I5> 4
60
3i,
4
93
12151,
I26o
15
4, 1
62
63,
8
94
2143295,
221064
17
33, 8
63
8,
1
97
62809633,
6377352
18
17* 4
65
129,
16
19
i7°> 39
66
65,
8
2 -,-. .2
20
9, 2
68
33,
4
T —D.v =
= -1
21
55, I 2
69
7775,
93 6
22
23
197, 42
70
71
251,
348o,
3°
D
T
V
24, 5
413
24
5, 1
72
17,
2
2
I,
I
26
5 1 , IO
74
3699,
43°
5
2,
I
27
26, 5
75
26,
3
10
3,
I
28
127, 24
77
35 1 ,
40
13
18,
5
29
9801,1820
78
53,
6
17
4,
1
30
11, 2
79
80,
9
26
5,
1
31
1520, 273
80
9,
1
29
70,
13
32
i7, 3
82
163,
18
37
6,
1
33
23, 4
83
82,
9
41
32,
5
34
35, 6
84
55,
6
50
7,
1
35
6, 1
87
28,
3
53
182,
25
37
73, I2
88
i97,
21
58
99,
13
38
37, 6
90
*9i
2
61
29718,
3805
39
25, 4
91
1574,
165
65
8,
1
40
19, 3
92
"5 1 !
120
73
1068,
125
41
2049, 320
95
39,
4
74
43,
5
42
13, 2
96
49,
5
82
9,
1
43
3482, 531
98
99,
10
85
378,
4i
44
199, 3°
99
10,
1
89
5°°,
53
45
161, 24
97
5 6o 4,
569
QUADRATIC PARTITIONS.
261
D
Multiple Solutions of
■D.v ! = Tl
10
—
T
V
10
+
T
V
11
+
T
V
12
+
T
V
13
—
r
V
13
+
T
V
14
+
T
V
15
+
T
17
—
T
V
17
+
V
18
+
T
V
19
+
T
20
+
T
V
h 7.41,239,1393, 8119, 47321,275807,1607521;
1, 5,29,169, 985, 5741, 33461,195025,1136689;
3, i7> 99, 577, 33 6 3, 19601, 114243, 665857, 3880899 ;
2, 12, 70, 408, 2378, 13860, 80782, 470832, 2744210 ;
2, 7, 26, 97, 362, 1351, 5042, 18817, 70226, 262087, 978122 ;
i,4, 15, 5 6 , 2 °9, 780, 2911,10864,40545,151316,564719;
2, 38, 682, 12238, 219602, 3940598;
h i7, 305, 5473, 98209,1762289;
9, 161, 2889, 51841, 93° 2 49;
4, 72,1292,23184,416020;
5, 49, 485, 4801, 47525, 470449, 4656965 ;
2, 20, 198, i960, 19402, 192060, 1901198;
8, 127, 2024, 32257, 514088, 8193151 ;
3, 48, 765,12192,194307,3096720;
3, 17. 99, 577, 3363, i9 6oi » 114243* 665857, 3880899 ;
1, 6,35,204,1189, 6930, 40391,235416,1372105;
3, 1 1 7, 4443, 168717, 6406803 ;
if 37, 1405, 53353, 2026009 ;
19, 721, 27379, 1039681 ;
6,228, 8658, 328776;
10, 199, 397o, 79201, 1580050 ;
3, 60, 1 197, 23880, 476403;
7,97, i35!> l88l 7, 262087;
2, 28, 390, 5432, 75658 ;
18, 23382, 30349818;
5, 6485, 8417525;
649, 842401 ;
180, 233640;
I5> 449, 13455, 403201, 12082575;
4, 120, 3596, 107760, 3229204;
4, 31, 244, 1921, 15124, 119071, 937444 ;
1, 8, 63, 496, 3905, 30744, 242047 ;
4, 268, 17684,1166876;
1, 65, 4289, 283009;
33, 2177, 143649,9478657;
8, 528, 34840,2298912;
T 7, 577, 19601,665857;
4, 136, 4620, 156944;
i7o,57799, i9 6 5 I 49°;
39, 13260, 4508361 ;
9, 161, 2889, 51841,930249;
2, 36, 646,11592,208010;
QUADRATIC PARTITIONS.
Least (odd) Solutions (t, v) of
t 2_dv = + 2, [D = 88-l]; = -2, [D = 88 + 3];
D > 500.
D
T V
=F
D
T V
=F
D
T V
=F
D
T V
=F
3
h I
123
II, I
291
17, I
—
151
1
4I57I, 3383 +
7
3. i
+
127
2175,193
+
307
9409,537
—
199
127539, 9041
+
11
3, i
—
131
103, 9
—
311
4109,233
+
211
527593, 30321
—
19
i3, 3
—
139
8807,747
—
339
3*3, 17
—
271
34O55I, 20687
+
23
5, 1
+
163
8005,627
—
347
801, 43
—
283
I 1759, 699
—
27
5. 1
—
167
13, 1
+
359
19, 1
+
331
52778687,2900979
—
31
39, 7
+
171
13, I
—
363
19, 1
—
343
II427, 6l7
+
43
59, 9
—
179
2047,153
—
383
i37, 7
+
367
I379I3, 7199
+
47
7, 1
+
187
41, 3
—
387
59, 3
-
379
113759383,5843427
—
51
7, 1
—
191
2999,217
+
391
2709,137
+
419
16437, 803
—
59
23, 3
—
223
15, 1
+
411
223, 11
—
431
12311, 593
+
67
221,27
—
227
15, 1
—
439
21, 1
+
463
15732537, 73^53
+
71
59. 7
+
239
2489,161 H-
443
21, 1
—
487
7204587, 326471
+
79
9, 1
+
243
265, 17
—
451
6817,321
—
491
305987, J 38o9
—
83
9, 1
—
251
1917,121
—
459
707, 33
—
103
477,47
+
263
373, 23
+
467
1275, 59
—
107
3i, 3
—
267
49, 3
—
479
1729, 79
+
119
11, 1
+
287
17, 1
+
499
67, 3
—
D.v 2 = =F2, [D = 168 + 2]; =-2, [D = 168 + 6]
= +2, [D = 168-2].
D
T
V
=F
I)
T V
=F
D
T V
=F
D
T V
T
2
O,
1
I —
114
32, 3
258
l6, I
166
41242, 32OI
6
2,
I
—
118
554,51
—
278
5°, 3
—
214
833882, 57OO3
—
14
4,
I
+
134
382,33
—
302
2068,119
f
262
IO246, 633!-
18
4,
I
—
142
12, I
+
322
18, 1
+
334
7987764, 437071
+
22
14,
3
—
146
12, I
—
326
18, 1
—
358
420214, 22209
—
34
6,
1 +
158
88, 7
+
354
5°8, 27
—
382
406200, 20783
+
38
6,
1
—
162
140,11
-
374
58, 3
446
10496, 497
+
46
156,
23
+
178
40, 3
—
386
334, 17
+
454
130061678,6104097
—
54
22,
3
—
194
14, 1
+
398
20, 1
+
466
30632, 1419
—
62
8,
1
+
198
1+ 1
—
402
20, 1
~
478
40215912,1839433
+
66
8,
1
—
206244,17
+
418
184, 9
—
86
102,
11
—
238 108, 7
+
422
2650,129
—
94
1464,]
'5«
+
242
140, 9
—
482
22, 1
+
98
10,
1
+
246
298,19
—
486
22, 1
—
102
10,
1
—
254
16, 1
+
498
424, 19
—
QUADRATIC PARTITIONS.
263
Least (odd) Solutions (t, v) of
t »-Di;» = =f4; [ D = 8S + 5,> 1000.]
[* Both + solutions exist when D is marked *.]
D
T
V
=F
D
T
V
=F
D
T V
=F
*5
h
I
•445
21,
I
301
22745, I3II
+
*13
3,
I
—
453
149,
7
f
*421
444939, 21685
—
21
5,
I
+
*461
365,
17
—
501
28225, 1261
+
*29
5,
I
—
469
65,
3
+
♦517
i°573, 465
+
45
7,
I
-r
477
2599,
119
+
*541
1396425, 60037
—
•53
7,
I
—
*493
III,
5
—
589
4359377,179625
+
•61
39,
5
—
*509
925,
41
—
•613
98763, 3989
—
69
25,
3
+
525
23,
1
+-
637
14159, 561
+
77
9,
1
+
*533
23,
1
—
*661
1789539, 69605
—
*85
9,
1
—
*549
I5 2 3,
65
+
669
305285, 11803
+
93
29,
3
+
*565
309,
13
—
749
12945, 473
+
*109
26lj
25
—
581
6725,
279
+
789
31825, 1133
+
117
ii,
1
+
597
9749,399
+
•821
16189, 565
—
*125
11,
1
—
605
123,
5
+
*853
27483, 94i
—
133
173,
i5
+
621
25,
1
+
869
49377, 1675
+
*149
61,
5
—
*629
25,
1
—
*949
32685, 1061
—
•157
213,
17
—
645
127,
5
+
981
68123, 2175
+
165
13,
1
+
*653
1661,
65
—
989
103245, 3283
+
*173
13,
i3°5,
1
# 685
759,
79,
29
3
•181
97
—
693
+
205
43,
3
+
717
241,
9
+
213
73,
5
+
725
27,
1
+
221
*229
237
15,
i5»
77,
1
1
5
+
+
•733
741
765
27,
245,
^3,
1
9
3
+
+
No (odd) solutions (t, v)
245
47,
3
+
•773
139,
5
of t 2 -Dv 2 = ±4.
253
1861,]
17
+
*797
367,
13
—
D = 85 + 5, >1500.
261
727,
45
+
805
1447,
5i
+
*277
2613,]
'57
—
837
29,
1
+
37, 405, 877, 1173
285
17,
1
+
*845
29,
1
—
101, 485, 885, 1213
*293
17,
1
—
861
1027,
35
+
141, 557, 901, 1269
309
5°45,;
•87
+
893
2301,
77i
+
189, 573, 909, 1293
*317
89,
5
—
917
1181,
39,
+
197, 677, 925, 1301
341
277,
15
+
*941
H35>
37|
—
269, 701, 933, 1325
357
19,
1
+
957
3*i
1
+
325, 709, 973, 1389
*365
19,
1
—
*965
31,
1
—
333, 757, 997, 1405
*397
3447,i
73
—
349, 781, 1053, 1421
413
61,
3
+
373, 813, 1149, 1445
429
145,
7
+
381, 829, 1157, 1485
437
a i,
1
+
389,
264
QUADRATIC PARTITIONS.
Least (odd) Solutions (t, v) of
t 1 -Dv 3 = ±8 and ±16, [D = 88 + 1, >500],
[* Both ± solutions exist when D is marked *.]
T 2 -Du-
= ±8
T 2 -Du 2
= ±16
T 2 -D W *
= ±8
t*-Di/- = ±16
D
T V |=fc
T V
±
D
T
V
±
T V
=fc
1
3, 1
+
O, I
*241
6lOI,
393 1-
1 i£ .
—
9
h 1
—
5, 1
+
249
931,
59!"
79, 5
+
♦17
3, 1
—
I, I
—
*265
...
49, 3
+
25
3, 1
—
273
i7, 1
+
33
5, 1
—
7, 1
+
*281
17,
1 +
285, 17
+
•41
7, 1
+
5, 1
—
297
17,
1 —
293, 17
+
57
7, 1
—
53, 7
+
305
... L.
17, 1
—
*65
7, 1
—
*313
53,
3 -
2813, 159
+
*73
9, 1
+
77, 9
+
329
127,
7j +
ii79, 65 4-
*89
9, 1
—
47, 5
—
*337
55,
3 —
3029, 165 +
♦97
69, 7
+
9, 1
—
345
... ...
J9, T | +
105
11, 1
+
*353
19,
« +
357, 19 +
•113
11, 1
+
53, 5
—
369
19,
1
365, 19
+
129
11, 1
—
125,11
+
377
19, 1
—
*137
35, 3
—
11, 1
—
385
59, 3
+
153
37, 3
—
13, 1
+
393
337,
i7
—
3271, 165
+
161
13, 1
+
165,13
+
*409
4429,
219
—
45645,2257
—
177
13, 1
—
i73,i3
+
417
' 2185,
107 -
143, 7
_i_
*185
13, 1
—
*425
21, I
+
*193i2 5 , 9
—
9 3,65
—
*433
21,
1
+
437, 21
+
201241,17
—
7i, 5
+
*449
21,
1
—
445, 21
+
209|i59>n
—
i5, 1
+
*457
149365,6987
—
21, 1
—
217 15, 1
+
221,15
+
465
15*1 7
+
•233
15, 1
—
229,15
+
*481
...
329= 15
+
489
J 99,
9|~
39605,1791
+
497
379,
17 +
67, 3
+
No (odd) Solutions of t 2 -Du 2 = + 16, [D =88 + 1, > 1500.]
D= 25, 49, 81, 121, 145, 169, 225, 257, 289,
305, 321, 361, 377, 401, 44i, 473, 5°5, 5 2 9,
545, 577, 625, 689, 697, 729, 745, 761, 777,
785, 793, 817, 841, 897, 905, 961, 985, 993,
1009, 1025, 1089, 1129, 1 145, 1225, 1257, 1297, 1305,
i3 J 3, J 345, 13691 *393> 1425, 1489.
Printed by C. F. Hodgson & Son, 2 Newton Street, High Holborn, London. W,C
APPENDIX.
265
APPENDIX.
CORRIGENDA ON TABLES USED IN THIS WORK.
1. J. H. Lambeet's Zusatze zu den logarn. und trign. Tabellen, &c., Berlin,
1770. — Tab. VI., pages 73-117, styled Numeri Primi, gives a List of Primes
up to p > 102,000. Errata below :
Page
Col.
For
Head
Page
Col.
For
Read
75
2
3381
3581
105
1
72529
70529
81
5
16587
16567
105
6
70467
72467
87
1
22541
28541
106
1
72373
72973
88
5
30083
32083
109
4
81347
81547
89
5
34587
34537
109
5
81837
81937
91
6
36551
39551
2. P. Baelow's New Mathematical Tables, London, 1814. — Tab. I., pages
1-167, gives the factorisation of all Numbers up to 10000 into their Prime
Factors. [For reference to Errata List, see No. 2 below.]
Tab. V., pages 194-209, of Prime Numbers gives a List of Primes up to
p ^> 100104 in columns containing 60 Primes each. Errata as below :
Page
Col.
For
Read
Page
Col.
For
Read
194
198
10
7
7253
25441
4253
25471
201
205
9
10
46659
43251
45659
72251
3. Fe. Schalleb's Primzah len- Tafel, von 1 bis 10000, oder Zerlegung oiler
Zahlen von 1 bis 10000 in ihre Factoren, Weimar, 1855.
4. B. GtOLDbeeg's Primzahlen- und Factoren- Tafel, von 1 bis 251617,
Leipzig, 1862.
2, 3, 4. Errata. — For full List of Errata found in Barlow's, Schaller's,
and Goldberg's Factor -Tables, see the present Author's Paper on Errata in
Factor- Tables, in Mess, of Math., Vol. 34, 1904.
5. C. G. J. Jacobi's Mathematische Werke, Berlin, 1846, Bd. I., pages
326-331. [Art. 23 i. above.]
[The references given below will suffice to fix the position of Errata ; the
Corrigenda can be taken from the present work.]
Erratum. Table of p = a? + b 2 . Table of p = A 2 + 3B 2 .
p omitted: 197, 2713, 6997, 11173 ; 883, 6427, 11311
p misprinted: 2357, 3253, 3469, 3529, 5693 ; 3631, 6433
2-ic parts wrong : a, b of 5261, 8609 ; A, B of 6481
2m
APPENDIX.
6. C. G-. Rettschle's Neue zahlentheoretische Tabellen, Stuttgart, 1856.
[Art. 23 ii. above.]
[The references given below suffice to fix the position of Errata ; the
Corrigenda can be taken from the present work.]
Tables III. a, b, c of (A, B), (L, M) ; pages 23-32. Errata as below.
[Argument^.]
L, M wrong
p omitted.
p wrong.
A,
B incorrect of p below.
of
883
25747
p below.
6433
313
12823
20071
29179
139
11311
27431
17137
5011
16561
21391
30529
397
12739
33037
25189
5453
18301
22651
35257
1123
12967
34519
26479
8293
18427
23557
37363
2377
12973
35437
30703
8707
18481
25147
37507
2713
19891
37699
31051
9871
18553
26317
38449
4003
20443
39181
32353
10957
19423
27691
45307
4339
21499
43201
40759
12211
19477
29059
45361
5437
25453
44563
41197
45361
5503
Tables IV. a, b, c of (a, b), (c, d) ; pages 32-41. Errata as below.
[Argument^.]
p missing.
p wrong.
a, b wrong of
p below.
e,
d incorrect of p below.
197
3469
4421
18289
17
11057
12281
17729
11173
23893
14009
21613
4177
11153
14009
19001
12269
15361
23197
6553
11329
14081
19489
12301
16249
23561
6653
12049
14369
23929
12373
17317
24281
7481
12097
14929
22129
8969
12161
17489
Tables V.a, b, c, giving Factors of (p—1) ; pages 42-61.
These contain about 94 Errata, besides numerous dots (.) omitted between
factors. A complete List is given in the present Author's Paper On JSaupt-
Exponent Tables, in Mess, of Math., Vol. 33, 1904.
7. A. Cayley's Table des plus petites solutions impaires de Vequation
x 2 — Dy 2 = ±4; in Crelle's Journal, t. liii., 1857, page 371 ; and Cayley's
Coll. Math. Tapers, Vol. rv., 1891, page 43.
D = 253 : Read x = 1861, y = 117. D = 597 : Head x = 9749.
D = 917: Head y = 39.
8. H. W. Lloyd Tanner's Paper On the Complex Primes formed with the
Fifth Roots of Unity, in Proc. Lond. Math. Soc, Vol. xxrv., 1873.
Table of Least Solutions of p = \ (X 2 — 5Y 2 ), page 258 : p = 3371 missing.
UNIVERSITY))
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