id sid tid token lemma pos 58225 1 1 Primes prime NNS 58225 1 2 to to IN 58225 1 3 One one CD 58225 1 4 Trillion Trillion NNP 58225 1 5 The the DT 58225 1 6 Gutenberg Gutenberg NNP 58225 1 7 text text NN 58225 1 8 " " `` 58225 1 9 The the DT 58225 1 10 First first JJ 58225 1 11 100,000 100,000 CD 58225 1 12 Prime Prime NNP 58225 1 13 Numbers Numbers NNPS 58225 1 14 " " '' 58225 1 15 , , , 58225 1 16 EBook EBook NNP 58225 1 17 # # $ 58225 1 18 65 65 CD 58225 1 19 , , , 58225 1 20 lists list VBZ 58225 1 21 the the DT 58225 1 22 primes prime NNS 58225 1 23 up up IN 58225 1 24 to to IN 58225 1 25 1,318,699 1,318,699 CD 58225 1 26 . . . 58225 2 1 This this DT 58225 2 2 somewhat somewhat RB 58225 2 3 more more RBR 58225 2 4 ambitious ambitious JJ 58225 2 5 version version NN 58225 2 6 lists list VBZ 58225 2 7 the the DT 58225 2 8 primes prime NNS 58225 2 9 up up IN 58225 2 10 to to IN 58225 2 11 one one CD 58225 2 12 trillion trillion CD 58225 2 13 ( ( -LRB- 58225 2 14 1,000,000,000,000 1,000,000,000,000 CD 58225 2 15 or or CC 58225 2 16 1E12 1e12 CD 58225 2 17 ) ) -RRB- 58225 2 18 . . . 58225 3 1 Introduction introduction NN 58225 3 2 I -PRON- PRP 58225 3 3 became become VBD 58225 3 4 interested interested JJ 58225 3 5 in in IN 58225 3 6 prime prime JJ 58225 3 7 numbers number NNS 58225 3 8 after after IN 58225 3 9 hearing hear VBG 58225 3 10 about about IN 58225 3 11 Goldbach Goldbach NNP 58225 3 12 's 's POS 58225 3 13 Conjecture conjecture NN 58225 3 14 , , , 58225 3 15 " " '' 58225 3 16 Every every DT 58225 3 17 even even RB 58225 3 18 integer integer NN 58225 3 19 greater great JJR 58225 3 20 than than IN 58225 3 21 2 2 CD 58225 3 22 can can MD 58225 3 23 be be VB 58225 3 24 expressed express VBN 58225 3 25 as as IN 58225 3 26 the the DT 58225 3 27 sum sum NN 58225 3 28 of of IN 58225 3 29 two two CD 58225 3 30 primes prime NNS 58225 3 31 " " '' 58225 3 32 . . . 58225 4 1 Verifying verify VBG 58225 4 2 this this DT 58225 4 3 requires require VBZ 58225 4 4 a a DT 58225 4 5 source source NN 58225 4 6 of of IN 58225 4 7 primes prime NNS 58225 4 8 . . . 58225 5 1 Short short JJ 58225 5 2 lists list NNS 58225 5 3 ( ( -LRB- 58225 5 4 or or CC 58225 5 5 programs program NNS 58225 5 6 to to TO 58225 5 7 generate generate VB 58225 5 8 them -PRON- PRP 58225 5 9 ) ) -RRB- 58225 5 10 are be VBP 58225 5 11 widely widely RB 58225 5 12 available available JJ 58225 5 13 . . . 58225 6 1 Really really RB 58225 6 2 long long JJ 58225 6 3 lists list NNS 58225 6 4 are be VBP 58225 6 5 scarce scarce JJ 58225 6 6 , , , 58225 6 7 except except IN 58225 6 8 for for IN 58225 6 9 primos.mat.br primos.mat.br NNP 58225 6 10 . . . 58225 7 1 To to TO 58225 7 2 make make VB 58225 7 3 these these DT 58225 7 4 lists list NNS 58225 7 5 more more RBR 58225 7 6 accessible accessible JJ 58225 7 7 , , , 58225 7 8 I -PRON- PRP 58225 7 9 have have VBP 58225 7 10 reformatted reformatte VBN 58225 7 11 them -PRON- PRP 58225 7 12 to to IN 58225 7 13 a a DT 58225 7 14 size size NN 58225 7 15 easily easily RB 58225 7 16 manageable manageable JJ 58225 7 17 by by IN 58225 7 18 ordinary ordinary JJ 58225 7 19 text text NN 58225 7 20 editors editor NNS 58225 7 21 and and CC 58225 7 22 viewers viewer NNS 58225 7 23 -- -- : 58225 7 24 about about RB 58225 7 25 55 55 CD 58225 7 26 MB MB NNS 58225 7 27 . . . 58225 8 1 The the DT 58225 8 2 file file NN 58225 8 3 names name NNS 58225 8 4 correspond correspond VBP 58225 8 5 to to IN 58225 8 6 the the DT 58225 8 7 range range NN 58225 8 8 of of IN 58225 8 9 primes prime NNS 58225 8 10 the the DT 58225 8 11 file file NN 58225 8 12 contains contain VBZ 58225 8 13 : : : 58225 8 14 00000000000_to_00100000000.txt 00000000000_to_00100000000.txt NFP 58225 8 15 Zero zero CD 58225 8 16 to to IN 58225 8 17 100 100 CD 58225 8 18 Million million CD 58225 8 19 00100000000_to_00200000000.txt 00100000000_to_00200000000.txt CD 58225 8 20 100 100 CD 58225 8 21 Million million CD 58225 8 22 to to IN 58225 8 23 200 200 CD 58225 8 24 Million million CD 58225 8 25 etc etc NN 58225 8 26 . . . 58225 9 1 The the DT 58225 9 2 leading lead VBG 58225 9 3 zero zero CD 58225 9 4 digits digit NNS 58225 9 5 cause cause IN 58225 9 6 the the DT 58225 9 7 file file NN 58225 9 8 names name NNS 58225 9 9 to to TO 58225 9 10 collate collate VB 58225 9 11 in in IN 58225 9 12 order order NN 58225 9 13 of of IN 58225 9 14 their -PRON- PRP$ 58225 9 15 content content NN 58225 9 16 . . . 58225 10 1 Longer long JJR 58225 10 2 lists list NNS 58225 10 3 can can MD 58225 10 4 be be VB 58225 10 5 composed compose VBN 58225 10 6 with with IN 58225 10 7 the the DT 58225 10 8 DOS DOS NNP 58225 10 9 copy copy NNP 58225 10 10 command command NN 58225 10 11 . . . 58225 11 1 Move move VB 58225 11 2 the the DT 58225 11 3 required require VBN 58225 11 4 prime prime NN 58225 11 5 txt txt NN 58225 11 6 files file NNS 58225 11 7 to to IN 58225 11 8 a a DT 58225 11 9 temporary temporary JJ 58225 11 10 directory directory NN 58225 11 11 and and CC 58225 11 12 use use NN 58225 11 13 : : : 58225 11 14 copy copy NN 58225 11 15 * * NFP 58225 11 16 .txt .txt . 58225 11 17 longList.txt longlist.txt ADD 58225 11 18 Prime Prime NNP 58225 11 19 Text Text NNP 58225 11 20 Files Files NNP 58225 11 21 This this DT 58225 11 22 is be VBZ 58225 11 23 a a DT 58225 11 24 collection collection NN 58225 11 25 of of IN 58225 11 26 10,000 10,000 CD 58225 11 27 files file NNS 58225 11 28 , , , 58225 11 29 occupying occupy VBG 58225 11 30 about about IN 58225 11 31 486 486 CD 58225 11 32 GB GB NNS 58225 11 33 of of IN 58225 11 34 disk disk NN 58225 11 35 space space NN 58225 11 36 in in IN 58225 11 37 their -PRON- PRP$ 58225 11 38 unzipped unzipped JJ 58225 11 39 native native JJ 58225 11 40 txt txt NN 58225 11 41 format format NN 58225 11 42 . . . 58225 12 1 Since since IN 58225 12 2 adjacent adjacent JJ 58225 12 3 primes prime NNS 58225 12 4 have have VBP 58225 12 5 about about RB 58225 12 6 90 90 CD 58225 12 7 % % NN 58225 12 8 identical identical JJ 58225 12 9 leading lead VBG 58225 12 10 digits digit NNS 58225 12 11 , , , 58225 12 12 the the DT 58225 12 13 compressed compressed JJ 58225 12 14 ( ( -LRB- 58225 12 15 zip zip NN 58225 12 16 ) ) -RRB- 58225 12 17 versions version NNS 58225 12 18 total total VBP 58225 12 19 61 61 CD 58225 12 20 GB GB NNP 58225 12 21 . . . 58225 13 1 Each each DT 58225 13 2 zip zip NN 58225 13 3 file file NN 58225 13 4 contains contain VBZ 58225 13 5 100 100 CD 58225 13 6 txt txt NN 58225 13 7 files file NNS 58225 13 8 . . . 58225 14 1 Do do VBP 58225 14 2 not not RB 58225 14 3 use use VB 58225 14 4 Windows Windows NNP 58225 14 5 Explorer Explorer NNP 58225 14 6 to to TO 58225 14 7 copy copy VB 58225 14 8 or or CC 58225 14 9 move move VB 58225 14 10 large large JJ 58225 14 11 numbers number NNS 58225 14 12 of of IN 58225 14 13 files file NNS 58225 14 14 at at IN 58225 14 15 a a DT 58225 14 16 time time NN 58225 14 17 . . . 58225 15 1 Use Use NNP 58225 15 2 DOS DOS NNP 58225 15 3 copy copy NN 58225 15 4 or or CC 58225 15 5 xcopy xcopy NN 58225 15 6 for for IN 58225 15 7 large large JJ 58225 15 8 copies copy NNS 58225 15 9 . . . 58225 16 1 I -PRON- PRP 58225 16 2 find find VBP 58225 16 3 Beyond beyond IN 58225 16 4 Compare Compare NNP 58225 16 5 ( ( -LRB- 58225 16 6 Scooter Scooter NNP 58225 16 7 Software Software NNP 58225 16 8 ) ) -RRB- 58225 16 9 handy handy JJ 58225 16 10 for for IN 58225 16 11 keeping keep VBG 58225 16 12 track track NN 58225 16 13 of of IN 58225 16 14 large large JJ 58225 16 15 numbers number NNS 58225 16 16 of of IN 58225 16 17 files file NNS 58225 16 18 . . . 58225 17 1 0000.zip 0000.zip CD 58225 17 2 000 000 CD 58225 17 3 G g NN 58225 17 4 to to IN 58225 17 5 010 010 CD 58225 17 6 G g NN 58225 17 7 ( ( -LRB- 58225 17 8 0 0 CD 58225 17 9 to to IN 58225 17 10 1E10 1e10 CD 58225 17 11 ) ) -RRB- 58225 17 12 0010.zip 0010.zip CD 58225 17 13 010 010 CD 58225 17 14 G g NN 58225 17 15 to to TO 58225 17 16 020 020 CD 58225 17 17 G g NN 58225 17 18 0020.zip 0020.zip CD 58225 17 19 020 020 CD 58225 17 20 G g NN 58225 17 21 to to TO 58225 17 22 030 030 CD 58225 17 23 G g NN 58225 17 24 0030.zip 0030.zip CD 58225 17 25 030 030 CD 58225 17 26 G g NN 58225 17 27 to to IN 58225 17 28 040 040 CD 58225 17 29 G g NN 58225 17 30 0040.zip 0040.zip CD 58225 17 31 040 040 CD 58225 17 32 G g NN 58225 17 33 to to IN 58225 17 34 050 050 CD 58225 17 35 G g NN 58225 17 36 0050.zip 0050.zip CD 58225 17 37 050 050 CD 58225 17 38 G g NN 58225 17 39 to to IN 58225 17 40 060 060 CD 58225 17 41 G g NN 58225 17 42 0060.zip 0060.zip CD 58225 17 43 060 060 CD 58225 17 44 G g NN 58225 17 45 to to IN 58225 17 46 070 070 CD 58225 17 47 G g NN 58225 17 48 0070.zip 0070.zip CD 58225 17 49 070 070 CD 58225 17 50 G g NN 58225 17 51 to to IN 58225 17 52 080 080 CD 58225 17 53 G g NN 58225 17 54 0080.zip 0080.zip CD 58225 17 55 080 080 CD 58225 17 56 G g NN 58225 17 57 to to IN 58225 17 58 090 090 CD 58225 17 59 G g NN 58225 17 60 0090.zip 0090.zip CD 58225 17 61 090 090 CD 58225 17 62 G g NN 58225 17 63 to to IN 58225 17 64 100 100 CD 58225 17 65 G g NN 58225 17 66 0100.zip 0100.zip CD 58225 17 67 100 100 CD 58225 17 68 G g NN 58225 17 69 to to IN 58225 17 70 110 110 CD 58225 17 71 G g NN 58225 17 72 0110.zip 0110.zip CD 58225 17 73 110 110 CD 58225 17 74 G g NN 58225 17 75 to to IN 58225 17 76 120 120 CD 58225 17 77 G g NN 58225 17 78 0120.zip 0120.zip CD 58225 17 79 120 120 CD 58225 17 80 G g NN 58225 17 81 to to IN 58225 17 82 130 130 CD 58225 17 83 G g NN 58225 17 84 0130.zip 0130.zip CD 58225 17 85 130 130 CD 58225 17 86 G g NN 58225 17 87 to to IN 58225 17 88 140 140 CD 58225 17 89 G g NN 58225 17 90 0140.zip 0140.zip CD 58225 17 91 140 140 CD 58225 17 92 G g NN 58225 17 93 to to IN 58225 17 94 150 150 CD 58225 17 95 G g NN 58225 17 96 0150.zip 0150.zip CD 58225 17 97 150 150 CD 58225 17 98 G g NN 58225 17 99 to to IN 58225 17 100 160 160 CD 58225 17 101 G g NN 58225 17 102 0160.zip 0160.zip CD 58225 17 103 160 160 CD 58225 17 104 G g NN 58225 17 105 to to IN 58225 17 106 170 170 CD 58225 17 107 G g NN 58225 17 108 0170.zip 0170.zip CD 58225 17 109 170 170 CD 58225 17 110 G g NN 58225 17 111 to to IN 58225 17 112 180 180 CD 58225 17 113 G g NN 58225 17 114 0180.zip 0180.zip CD 58225 17 115 180 180 CD 58225 17 116 G g NN 58225 17 117 to to IN 58225 17 118 190 190 CD 58225 17 119 G g NN 58225 17 120 0190.zip 0190.zip CD 58225 17 121 190 190 CD 58225 17 122 G g NN 58225 17 123 to to IN 58225 17 124 100 100 CD 58225 17 125 G g NN 58225 17 126 0200.zip 0200.zip CD 58225 17 127 200 200 CD 58225 17 128 G g NN 58225 17 129 to to IN 58225 17 130 210 210 CD 58225 17 131 G g NN 58225 17 132 0210.zip 0210.zip CD 58225 17 133 210 210 CD 58225 17 134 G g NN 58225 17 135 to to IN 58225 17 136 220 220 CD 58225 17 137 G g NN 58225 17 138 0220.zip 0220.zip CD 58225 17 139 220 220 CD 58225 17 140 G g NN 58225 17 141 to to IN 58225 17 142 230 230 CD 58225 17 143 G g NN 58225 17 144 0230.zip 0230.zip CD 58225 17 145 230 230 CD 58225 17 146 G g NN 58225 17 147 to to IN 58225 17 148 240 240 CD 58225 17 149 G g NN 58225 17 150 0240.zip 0240.zip CD 58225 17 151 240 240 CD 58225 17 152 G g NN 58225 17 153 to to IN 58225 17 154 250 250 CD 58225 17 155 G g NN 58225 17 156 0250.zip 0250.zip CD 58225 17 157 250 250 CD 58225 17 158 G g NN 58225 17 159 to to IN 58225 17 160 260 260 CD 58225 17 161 G g NN 58225 17 162 0260.zip 0260.zip CD 58225 17 163 260 260 CD 58225 17 164 G g NN 58225 17 165 to to IN 58225 17 166 270 270 CD 58225 17 167 G g NN 58225 17 168 0270.zip 0270.zip CD 58225 17 169 270 270 CD 58225 17 170 G g NN 58225 17 171 to to IN 58225 17 172 280 280 CD 58225 17 173 G g NN 58225 17 174 0280.zip 0280.zip CD 58225 17 175 280 280 CD 58225 17 176 G g NN 58225 17 177 to to IN 58225 17 178 290 290 CD 58225 17 179 G g NN 58225 17 180 0290.zip 0290.zip CD 58225 17 181 290 290 CD 58225 17 182 G g NN 58225 17 183 to to IN 58225 17 184 200 200 CD 58225 17 185 G g NN 58225 17 186 0300.zip 0300.zip CD 58225 17 187 300 300 CD 58225 17 188 G g NN 58225 17 189 to to IN 58225 17 190 310 310 CD 58225 17 191 G g NN 58225 17 192 0310.zip 0310.zip CD 58225 17 193 310 310 CD 58225 17 194 G g NN 58225 17 195 to to IN 58225 17 196 320 320 CD 58225 17 197 G g NN 58225 17 198 0320.zip 0320.zip CD 58225 17 199 320 320 CD 58225 17 200 G g NN 58225 17 201 to to IN 58225 17 202 330 330 CD 58225 17 203 G g NN 58225 17 204 0330.zip 0330.zip CD 58225 17 205 330 330 CD 58225 17 206 G g NN 58225 17 207 to to IN 58225 17 208 340 340 CD 58225 17 209 G g NN 58225 17 210 0340.zip 0340.zip CD 58225 17 211 340 340 CD 58225 17 212 G g NN 58225 17 213 to to IN 58225 17 214 350 350 CD 58225 17 215 G g NN 58225 17 216 0350.zip 0350.zip CD 58225 17 217 350 350 CD 58225 17 218 G g NN 58225 17 219 to to IN 58225 17 220 360 360 CD 58225 17 221 G g NN 58225 17 222 0360.zip 0360.zip CD 58225 17 223 360 360 CD 58225 17 224 G g NN 58225 17 225 to to IN 58225 17 226 370 370 CD 58225 17 227 G g NN 58225 17 228 0370.zip 0370.zip CD 58225 17 229 370 370 CD 58225 17 230 G g NN 58225 17 231 to to IN 58225 17 232 380 380 CD 58225 17 233 G g NN 58225 17 234 0380.zip 0380.zip CD 58225 17 235 380 380 CD 58225 17 236 G g NN 58225 17 237 to to IN 58225 17 238 390 390 CD 58225 17 239 G g NN 58225 17 240 0390.zip 0390.zip CD 58225 17 241 390 390 CD 58225 17 242 G g NN 58225 17 243 to to IN 58225 17 244 300 300 CD 58225 17 245 G g NN 58225 17 246 0400.zip 0400.zip CD 58225 17 247 400 400 CD 58225 17 248 G g NN 58225 17 249 to to IN 58225 17 250 410 410 CD 58225 17 251 G g NN 58225 17 252 0410.zip 0410.zip CD 58225 17 253 410 410 CD 58225 17 254 G g NN 58225 17 255 to to IN 58225 17 256 420 420 CD 58225 17 257 G g NN 58225 17 258 0420.zip 0420.zip CD 58225 17 259 420 420 CD 58225 17 260 G g NN 58225 17 261 to to IN 58225 17 262 430 430 CD 58225 17 263 G g NN 58225 17 264 0430.zip 0430.zip CD 58225 17 265 430 430 CD 58225 17 266 G g NN 58225 17 267 to to IN 58225 17 268 440 440 CD 58225 17 269 G g NN 58225 17 270 0440.zip 0440.zip CD 58225 17 271 440 440 CD 58225 17 272 G g NN 58225 17 273 to to IN 58225 17 274 450 450 CD 58225 17 275 G g NN 58225 17 276 0450.zip 0450.zip CD 58225 17 277 450 450 CD 58225 17 278 G g NN 58225 17 279 to to IN 58225 17 280 460 460 CD 58225 17 281 G g NN 58225 17 282 0460.zip 0460.zip CD 58225 17 283 460 460 CD 58225 17 284 G g NN 58225 17 285 to to IN 58225 17 286 470 470 CD 58225 17 287 G g NN 58225 17 288 0470.zip 0470.zip CD 58225 17 289 470 470 CD 58225 17 290 G g NN 58225 17 291 to to IN 58225 17 292 480 480 CD 58225 17 293 G g NN 58225 17 294 0480.zip 0480.zip CD 58225 17 295 480 480 CD 58225 17 296 G g NN 58225 17 297 to to IN 58225 17 298 490 490 CD 58225 17 299 G g NN 58225 17 300 0490.zip 0490.zip CD 58225 17 301 490 490 CD 58225 17 302 G g NN 58225 17 303 to to IN 58225 17 304 400 400 CD 58225 17 305 G g NN 58225 17 306 0500.zip 0500.zip CD 58225 17 307 500 500 CD 58225 17 308 G g NN 58225 17 309 to to IN 58225 17 310 510 510 CD 58225 17 311 G g NN 58225 17 312 0510.zip 0510.zip CD 58225 17 313 510 510 CD 58225 17 314 G g NN 58225 17 315 to to IN 58225 17 316 520 520 CD 58225 17 317 G g NN 58225 17 318 0520.zip 0520.zip CD 58225 17 319 520 520 CD 58225 17 320 G g NN 58225 17 321 to to IN 58225 17 322 530 530 CD 58225 17 323 G g NN 58225 17 324 0530.zip 0530.zip CD 58225 17 325 530 530 CD 58225 17 326 G g NN 58225 17 327 to to IN 58225 17 328 540 540 CD 58225 17 329 G g NN 58225 17 330 0540.zip 0540.zip CD 58225 17 331 540 540 CD 58225 17 332 G g NN 58225 17 333 to to IN 58225 17 334 550 550 CD 58225 17 335 G g NN 58225 17 336 0550.zip 0550.zip CD 58225 17 337 550 550 CD 58225 17 338 G g NN 58225 17 339 to to IN 58225 17 340 560 560 CD 58225 17 341 G g NN 58225 17 342 0560.zip 0560.zip CD 58225 17 343 560 560 CD 58225 17 344 G g NN 58225 17 345 to to IN 58225 17 346 570 570 CD 58225 17 347 G g NN 58225 17 348 0570.zip 0570.zip CD 58225 17 349 570 570 CD 58225 17 350 G g NN 58225 17 351 to to IN 58225 17 352 580 580 CD 58225 17 353 G g NN 58225 17 354 0580.zip 0580.zip CD 58225 17 355 580 580 CD 58225 17 356 G g NN 58225 17 357 to to IN 58225 17 358 590 590 CD 58225 17 359 G g NN 58225 17 360 0590.zip 0590.zip CD 58225 17 361 590 590 CD 58225 17 362 G g NN 58225 17 363 to to IN 58225 17 364 500 500 CD 58225 17 365 G g NN 58225 17 366 0600.zip 0600.zip CD 58225 17 367 600 600 CD 58225 17 368 G g NN 58225 17 369 to to IN 58225 17 370 610 610 CD 58225 17 371 G g NN 58225 17 372 0610.zip 0610.zip CD 58225 17 373 610 610 CD 58225 17 374 G g NN 58225 17 375 to to IN 58225 17 376 620 620 CD 58225 17 377 G g NN 58225 17 378 0620.zip 0620.zip CD 58225 17 379 620 620 CD 58225 17 380 G g NN 58225 17 381 to to IN 58225 17 382 630 630 CD 58225 17 383 G g NN 58225 17 384 0630.zip 0630.zip CD 58225 17 385 630 630 CD 58225 17 386 G g NN 58225 17 387 to to IN 58225 17 388 640 640 CD 58225 17 389 G g NN 58225 17 390 0640.zip 0640.zip CD 58225 17 391 640 640 CD 58225 17 392 G g NN 58225 17 393 to to IN 58225 17 394 650 650 CD 58225 17 395 G g NN 58225 17 396 0650.zip 0650.zip CD 58225 17 397 650 650 CD 58225 17 398 G g NN 58225 17 399 to to IN 58225 17 400 660 660 CD 58225 17 401 G g NN 58225 17 402 0660.zip 0660.zip CD 58225 17 403 660 660 CD 58225 17 404 G g NN 58225 17 405 to to IN 58225 17 406 670 670 CD 58225 17 407 G g NN 58225 17 408 0670.zip 0670.zip CD 58225 17 409 670 670 CD 58225 17 410 G g NN 58225 17 411 to to IN 58225 17 412 680 680 CD 58225 17 413 G g NN 58225 17 414 0680.zip 0680.zip CD 58225 17 415 680 680 CD 58225 17 416 G g NN 58225 17 417 to to IN 58225 17 418 690 690 CD 58225 17 419 G g NN 58225 17 420 0690.zip 0690.zip NFP 58225 17 421 690 690 CD 58225 17 422 G g NN 58225 17 423 to to IN 58225 17 424 600 600 CD 58225 17 425 G g NN 58225 17 426 0700.zip 0700.zip CD 58225 17 427 700 700 CD 58225 17 428 G g NN 58225 17 429 to to IN 58225 17 430 710 710 CD 58225 17 431 G g NN 58225 17 432 0710.zip 0710.zip CD 58225 17 433 710 710 CD 58225 17 434 G g NN 58225 17 435 to to IN 58225 17 436 720 720 CD 58225 17 437 G g NN 58225 17 438 0720.zip 0720.zip CD 58225 17 439 720 720 CD 58225 17 440 G g NN 58225 17 441 to to IN 58225 17 442 730 730 CD 58225 17 443 G g NN 58225 17 444 0730.zip 0730.zip CD 58225 17 445 730 730 CD 58225 17 446 G g NN 58225 17 447 to to IN 58225 17 448 740 740 CD 58225 17 449 G g NN 58225 17 450 0740.zip 0740.zip CD 58225 17 451 740 740 CD 58225 17 452 G g NN 58225 17 453 to to IN 58225 17 454 750 750 CD 58225 17 455 G g NN 58225 17 456 0750.zip 0750.zip CD 58225 17 457 750 750 CD 58225 17 458 G g NN 58225 17 459 to to IN 58225 17 460 760 760 CD 58225 17 461 G g NN 58225 17 462 0760.zip 0760.zip CD 58225 17 463 760 760 CD 58225 17 464 G g NN 58225 17 465 to to IN 58225 17 466 770 770 CD 58225 17 467 G g NN 58225 17 468 0770.zip 0770.zip CD 58225 17 469 770 770 CD 58225 17 470 G g NN 58225 17 471 to to IN 58225 17 472 780 780 CD 58225 17 473 G g NN 58225 17 474 0780.zip 0780.zip CD 58225 17 475 780 780 CD 58225 17 476 G g NN 58225 17 477 to to IN 58225 17 478 790 790 CD 58225 17 479 G g NN 58225 17 480 0790.zip 0790.zip CD 58225 17 481 790 790 CD 58225 17 482 G g NN 58225 17 483 to to IN 58225 17 484 700 700 CD 58225 17 485 G g NN 58225 17 486 0800.zip 0800.zip CD 58225 17 487 800 800 CD 58225 17 488 G g NN 58225 17 489 to to IN 58225 17 490 810 810 CD 58225 17 491 G g NN 58225 17 492 0810.zip 0810.zip CD 58225 17 493 810 810 CD 58225 17 494 G g NN 58225 17 495 to to IN 58225 17 496 820 820 CD 58225 17 497 G g NN 58225 17 498 0820.zip 0820.zip CD 58225 17 499 820 820 CD 58225 17 500 G g NN 58225 17 501 to to IN 58225 17 502 830 830 CD 58225 17 503 G g NN 58225 17 504 0830.zip 0830.zip CD 58225 17 505 830 830 CD 58225 17 506 G g NN 58225 17 507 to to IN 58225 17 508 840 840 CD 58225 17 509 G g NN 58225 17 510 0840.zip 0840.zip CD 58225 17 511 840 840 CD 58225 17 512 G g NN 58225 17 513 to to IN 58225 17 514 850 850 CD 58225 17 515 G g NN 58225 17 516 0850.zip 0850.zip CD 58225 17 517 850 850 CD 58225 17 518 G g NN 58225 17 519 to to IN 58225 17 520 860 860 CD 58225 17 521 G g NN 58225 17 522 0860.zip 0860.zip NN 58225 17 523 860 860 CD 58225 17 524 G g NN 58225 17 525 to to IN 58225 17 526 870 870 CD 58225 17 527 G g NN 58225 17 528 0870.zip 0870.zip CD 58225 17 529 870 870 CD 58225 17 530 G g NN 58225 17 531 to to IN 58225 17 532 880 880 CD 58225 17 533 G g NN 58225 17 534 0880.zip 0880.zip CD 58225 17 535 880 880 CD 58225 17 536 G g NN 58225 17 537 to to IN 58225 17 538 890 890 CD 58225 17 539 G g NN 58225 17 540 0890.zip 0890.zip CD 58225 17 541 890 890 CD 58225 17 542 G g NN 58225 17 543 to to IN 58225 17 544 800 800 CD 58225 17 545 G g NN 58225 17 546 0900.zip 0900.zip CD 58225 17 547 900 900 CD 58225 17 548 G g NN 58225 17 549 to to IN 58225 17 550 910 910 CD 58225 17 551 G g NN 58225 17 552 0910.zip 0910.zip CD 58225 17 553 910 910 CD 58225 17 554 G g NN 58225 17 555 to to IN 58225 17 556 920 920 CD 58225 17 557 G g NN 58225 17 558 0920.zip 0920.zip CD 58225 17 559 920 920 CD 58225 17 560 G g NN 58225 17 561 to to IN 58225 17 562 930 930 CD 58225 17 563 G g NN 58225 17 564 0930.zip 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Additional additional JJ 58225 17 607 prime prime JJ 58225 17 608 files file NNS 58225 17 609 will will MD 58225 17 610 be be VB 58225 17 611 posted post VBN 58225 17 612 here here RB 58225 17 613 . . . 58225 18 1 PrimeC PrimeC NNS 58225 18 2 File File NNP 58225 18 3 Format format NN 58225 18 4 and and CC 58225 18 5 Miscellaneous miscellaneous JJ 58225 18 6 C++ C++ NNS 58225 18 7 Programs program NNS 58225 18 8 While while IN 58225 18 9 working work VBG 58225 18 10 with with IN 58225 18 11 primes prime NNS 58225 18 12 , , , 58225 18 13 I -PRON- PRP 58225 18 14 developed develop VBD 58225 18 15 the the DT 58225 18 16 primec primec NNS 58225 18 17 format format NN 58225 18 18 , , , 58225 18 19 a a DT 58225 18 20 file file NN 58225 18 21 or or CC 58225 18 22 array array NN 58225 18 23 representation representation NN 58225 18 24 for for IN 58225 18 25 primes prime NNS 58225 18 26 that that WDT 58225 18 27 is be VBZ 58225 18 28 roughly roughly RB 58225 18 29 the the DT 58225 18 30 same same JJ 58225 18 31 size size NN 58225 18 32 of of IN 58225 18 33 the the DT 58225 18 34 compressed compressed JJ 58225 18 35 ( ( -LRB- 58225 18 36 zipped zipped NNP 58225 18 37 ) ) -RRB- 58225 18 38 txt txt NN 58225 18 39 representation representation NN 58225 18 40 , , , 58225 18 41 and and CC 58225 18 42 supports support VBZ 58225 18 43 fast fast JJ 58225 18 44 access access NN 58225 18 45 , , , 58225 18 46 both both CC 58225 18 47 sequential sequential JJ 58225 18 48 and and CC 58225 18 49 direct direct JJ 58225 18 50 . . . 58225 19 1 The the DT 58225 19 2 exact exact JJ 58225 19 3 location location NN 58225 19 4 of of IN 58225 19 5 the the DT 58225 19 6 primality primality NN 58225 19 7 specification specification NN 58225 19 8 of of IN 58225 19 9 any any DT 58225 19 10 number number NN 58225 19 11 in in IN 58225 19 12 the the DT 58225 19 13 file file NN 58225 19 14 ( ( -LRB- 58225 19 15 or or CC 58225 19 16 memory memory NN 58225 19 17 array array NN 58225 19 18 ) ) -RRB- 58225 19 19 is be VBZ 58225 19 20 computed compute VBN 58225 19 21 with with IN 58225 19 22 a a DT 58225 19 23 few few JJ 58225 19 24 instructions instruction NNS 58225 19 25 and and CC 58225 19 26 no no DT 58225 19 27 search search NN 58225 19 28 . . . 58225 20 1 If if IN 58225 20 2 you -PRON- PRP 58225 20 3 wish wish VBP 58225 20 4 to to TO 58225 20 5 examine examine VB 58225 20 6 and and CC 58225 20 7 experiment experiment VB 58225 20 8 with with IN 58225 20 9 the the DT 58225 20 10 C++ C++ NNP 58225 20 11 programs program NNS 58225 20 12 used use VBN 58225 20 13 to to TO 58225 20 14 reformat reformat VB 58225 20 15 these these DT 58225 20 16 prime prime JJ 58225 20 17 lists list NNS 58225 20 18 and and CC 58225 20 19 test test VB 58225 20 20 the the DT 58225 20 21 Goldbach Goldbach NNP 58225 20 22 Conjecture Conjecture NNP 58225 20 23 , , , 58225 20 24 download download VB 58225 20 25 the the DT 58225 20 26 " " `` 58225 20 27 programs.zip programs.zip NNP 58225 20 28 " " '' 58225 20 29 package package NN 58225 20 30 . . . 58225 21 1 It -PRON- PRP 58225 21 2 contains contain VBZ 58225 21 3 Generating Generating NNP 58225 21 4 and and CC 58225 21 5 Analyzing Analyzing NNP 58225 21 6 Prime Prime NNP 58225 21 7 Numbers Numbers NNPS 58225 21 8 , , , 58225 21 9 a a DT 58225 21 10 description description NN 58225 21 11 of of IN 58225 21 12 the the DT 58225 21 13 content content NN 58225 21 14 and and CC 58225 21 15 use use NN 58225 21 16 of of IN 58225 21 17 these these DT 58225 21 18 files file NNS 58225 21 19 , , , 58225 21 20 including include VBG 58225 21 21 the the DT 58225 21 22 primec primec NNS 58225 21 23 file file NN 58225 21 24 format format NN 58225 21 25 . . . 58225 22 1 Primec Primec NNS 58225 22 2 Format format NN 58225 22 3 The the DT 58225 22 4 primec primec NNS 58225 22 5 format format NN 58225 22 6 exploits exploit VBZ 58225 22 7 the the DT 58225 22 8 fact fact NN 58225 22 9 that that IN 58225 22 10 all all DT 58225 22 11 primes prime NNS 58225 22 12 greater great JJR 58225 22 13 than than IN 58225 22 14 5 5 CD 58225 22 15 end end NN 58225 22 16 in in IN 58225 22 17 the the DT 58225 22 18 decimal decimal JJ 58225 22 19 digits digits NNP 58225 22 20 1 1 CD 58225 22 21 , , , 58225 22 22 3 3 CD 58225 22 23 , , , 58225 22 24 7 7 CD 58225 22 25 , , , 58225 22 26 or or CC 58225 22 27 9 9 CD 58225 22 28 . . . 58225 23 1 Thus thus RB 58225 23 2 , , , 58225 23 3 the the DT 58225 23 4 primality primality NN 58225 23 5 of of IN 58225 23 6 20 20 CD 58225 23 7 successive successive JJ 58225 23 8 numbers number NNS 58225 23 9 can can MD 58225 23 10 be be VB 58225 23 11 specified specify VBN 58225 23 12 in in IN 58225 23 13 one one CD 58225 23 14 8 8 CD 58225 23 15 bit bit NN 58225 23 16 byte byte NN 58225 23 17 . . . 58225 24 1 The the DT 58225 24 2 file file NN 58225 24 3 begins begin VBZ 58225 24 4 with with IN 58225 24 5 the the DT 58225 24 6 complete complete JJ 58225 24 7 binary binary JJ 58225 24 8 representation representation NN 58225 24 9 of of IN 58225 24 10 : : : 58225 24 11 The the DT 58225 24 12 beginning beginning NN 58225 24 13 of of IN 58225 24 14 the the DT 58225 24 15 sequence sequence NN 58225 24 16 The the DT 58225 24 17 end end NN 58225 24 18 of of IN 58225 24 19 the the DT 58225 24 20 sequence sequence NN 58225 24 21 A a DT 58225 24 22 check check NN 58225 24 23 sum sum NN 58225 24 24 of of IN 58225 24 25 all all DT 58225 24 26 data datum NNS 58225 24 27 bytes byte NNS 58225 24 28 ( ( -LRB- 58225 24 29 All all DT 58225 24 30 three three CD 58225 24 31 are be VBP 58225 24 32 8 8 CD 58225 24 33 bytes byte NNS 58225 24 34 for for IN 58225 24 35 this this DT 58225 24 36 implementation implementation NN 58225 24 37 ) ) -RRB- 58225 24 38 . . . 58225 25 1 The the DT 58225 25 2 first first JJ 58225 25 3 and and CC 58225 25 4 last last JJ 58225 25 5 values value NNS 58225 25 6 are be VBP 58225 25 7 a a DT 58225 25 8 multiple multiple NN 58225 25 9 of of IN 58225 25 10 twenty twenty CD 58225 25 11 , , , 58225 25 12 thus thus RB 58225 25 13 are be VBP 58225 25 14 never never RB 58225 25 15 primes prime NNS 58225 25 16 . . . 58225 26 1 There there EX 58225 26 2 is be VBZ 58225 26 3 no no DT 58225 26 4 overlap overlap NN 58225 26 5 of of IN 58225 26 6 primes prime NNS 58225 26 7 between between IN 58225 26 8 successive successive JJ 58225 26 9 files file NNS 58225 26 10 that that WDT 58225 26 11 use use VBP 58225 26 12 the the DT 58225 26 13 same same JJ 58225 26 14 number number NN 58225 26 15 for for IN 58225 26 16 the the DT 58225 26 17 upper upper JJ 58225 26 18 boundary boundary NN 58225 26 19 of of IN 58225 26 20 the the DT 58225 26 21 first first JJ 58225 26 22 file file NN 58225 26 23 , , , 58225 26 24 and and CC 58225 26 25 the the DT 58225 26 26 lower low JJR 58225 26 27 boundary boundary NN 58225 26 28 of of IN 58225 26 29 the the DT 58225 26 30 second second JJ 58225 26 31 file file NN 58225 26 32 . . . 58225 27 1 The the DT 58225 27 2 primality primality NN 58225 27 3 of of IN 58225 27 4 any any DT 58225 27 5 number number NN 58225 27 6 in in IN 58225 27 7 the the DT 58225 27 8 range range NN 58225 27 9 of of IN 58225 27 10 the the DT 58225 27 11 file file NN 58225 27 12 is be VBZ 58225 27 13 determined determine VBN 58225 27 14 as as IN 58225 27 15 follows follow VBZ 58225 27 16 : : : 58225 27 17 If if IN 58225 27 18 the the DT 58225 27 19 number number NN 58225 27 20 ends end VBZ 58225 27 21 in in IN 58225 27 22 0 0 CD 58225 27 23 , , , 58225 27 24 2 2 CD 58225 27 25 , , , 58225 27 26 4 4 CD 58225 27 27 , , , 58225 27 28 5 5 CD 58225 27 29 , , , 58225 27 30 6 6 CD 58225 27 31 , , , 58225 27 32 or or CC 58225 27 33 8 8 CD 58225 27 34 , , , 58225 27 35 it -PRON- PRP 58225 27 36 is be VBZ 58225 27 37 not not RB 58225 27 38 prime prime JJ 58225 27 39 . . . 58225 28 1 Otherwise otherwise RB 58225 28 2 , , , 58225 28 3 the the DT 58225 28 4 location location NN 58225 28 5 of of IN 58225 28 6 the the DT 58225 28 7 specifying specify VBG 58225 28 8 byte byte NN 58225 28 9 is be VBZ 58225 28 10 at at IN 58225 28 11 offset offset NN 58225 28 12 : : : 58225 28 13 ( ( -LRB- 58225 28 14 value value NN 58225 28 15 - - HYPH 58225 28 16 start start NN 58225 28 17 ) ) -RRB- 58225 28 18 / / SYM 58225 28 19 20 20 CD 58225 28 20 Within within IN 58225 28 21 that that DT 58225 28 22 byte byte NN 58225 28 23 , , , 58225 28 24 the the DT 58225 28 25 primality primality NN 58225 28 26 of of IN 58225 28 27 the the DT 58225 28 28 value value NN 58225 28 29 is be VBZ 58225 28 30 specified specify VBN 58225 28 31 by by IN 58225 28 32 the the DT 58225 28 33 bit bit NN 58225 28 34 as as IN 58225 28 35 shown show VBN 58225 28 36 in in IN 58225 28 37 the the DT 58225 28 38 following follow VBG 58225 28 39 table table NN 58225 28 40 . . . 58225 29 1 The the DT 58225 29 2 only only JJ 58225 29 3 tedious tedious JJ 58225 29 4 programming programming NN 58225 29 5 tasks task NNS 58225 29 6 were be VBD 58225 29 7 : : : 58225 29 8 Special special JJ 58225 29 9 case case NN 58225 29 10 code code NN 58225 29 11 for for IN 58225 29 12 values value NNS 58225 29 13 less less JJR 58225 29 14 than than IN 58225 29 15 20 20 CD 58225 29 16 , , , 58225 29 17 which which WDT 58225 29 18 include include VBP 58225 29 19 2 2 CD 58225 29 20 and and CC 58225 29 21 5 5 CD 58225 29 22 , , , 58225 29 23 and and CC 58225 29 24 exclude exclude VB 58225 29 25 1 1 CD 58225 29 26 and and CC 58225 29 27 9 9 CD 58225 29 28 . . . 58225 30 1 All all DT 58225 30 2 larger large JJR 58225 30 3 values value NNS 58225 30 4 follow follow VBP 58225 30 5 the the DT 58225 30 6 same same JJ 58225 30 7 simple simple JJ 58225 30 8 pattern pattern NN 58225 30 9 . . . 58225 31 1 The the DT 58225 31 2 increment increment NN 58225 31 3 and and CC 58225 31 4 decrement decrement JJ 58225 31 5 operators operator NNS 58225 31 6 for for IN 58225 31 7 the the DT 58225 31 8 corresponding correspond VBG 58225 31 9 iterators iterator NNS 58225 31 10 must must MD 58225 31 11 search search VB 58225 31 12 forward forward RB 58225 31 13 ( ( -LRB- 58225 31 14 or or CC 58225 31 15 backward backward RB 58225 31 16 ) ) -RRB- 58225 31 17 for for IN 58225 31 18 the the DT 58225 31 19 next next JJ 58225 31 20 true true JJ 58225 31 21 bit bit NN 58225 31 22 , , , 58225 31 23 specifying specify VBG 58225 31 24 the the DT 58225 31 25 next next JJ 58225 31 26 prime prime JJ 58225 31 27 number number NN 58225 31 28 . . . 58225 32 1 This this DT 58225 32 2 table table NN 58225 32 3 shows show VBZ 58225 32 4 the the DT 58225 32 5 layout layout NN 58225 32 6 and and CC 58225 32 7 content content NN 58225 32 8 for for IN 58225 32 9 a a DT 58225 32 10 file file NN 58225 32 11 containing contain VBG 58225 32 12 20 20 CD 58225 32 13 to to TO 58225 32 14 60 60 CD 58225 32 15 . . . 58225 33 1 The the DT 58225 33 2 first first JJ 58225 33 3 24 24 CD 58225 33 4 bytes byte NNS 58225 33 5 ( ( -LRB- 58225 33 6 start start VB 58225 33 7 value value NN 58225 33 8 , , , 58225 33 9 end end NN 58225 33 10 value value NN 58225 33 11 , , , 58225 33 12 check check VB 58225 33 13 sum sum NN 58225 33 14 ) ) -RRB- 58225 33 15 are be VBP 58225 33 16 not not RB 58225 33 17 shown show VBN 58225 33 18 . . . 58225 34 1 Byte byte NN 58225 34 2 0 0 CD 58225 34 3 - - HYPH 58225 34 4 -----------------------------| -----------------------------| NN 58225 34 5 1 1 CD 58225 34 6 - - HYPH 58225 34 7 --------------------------- --------------------------- NN 58225 34 8 Bit bit NN 58225 34 9 0 0 CD 58225 34 10 1 1 CD 58225 34 11 2 2 CD 58225 34 12 3 3 CD 58225 34 13 4 4 CD 58225 34 14 5 5 CD 58225 34 15 6 6 CD 58225 34 16 7 7 CD 58225 34 17 0 0 CD 58225 34 18 1 1 CD 58225 34 19 2 2 CD 58225 34 20 3 3 CD 58225 34 21 4 4 CD 58225 34 22 5 5 CD 58225 34 23 6 6 CD 58225 34 24 7 7 CD 58225 34 25 Value Value NNP 58225 34 26 21 21 CD 58225 34 27 23 23 CD 58225 34 28 27 27 CD 58225 34 29 29 29 CD 58225 34 30 31 31 CD 58225 34 31 33 33 CD 58225 34 32 37 37 CD 58225 34 33 39 39 CD 58225 34 34 41 41 CD 58225 34 35 43 43 CD 58225 34 36 47 47 CD 58225 34 37 49 49 CD 58225 34 38 51 51 CD 58225 34 39 53 53 CD 58225 34 40 57 57 CD 58225 34 41 59 59 CD 58225 34 42 Prime Prime NNP 58225 34 43 F F NNP 58225 34 44 T T NNP 58225 34 45 F F NNP 58225 34 46 T t NN 58225 34 47 T t NN 58225 34 48 F f NN 58225 34 49 T T NNP 58225 34 50 F f NN 58225 34 51 T t NN 58225 34 52 T t NN 58225 34 53 T t NN 58225 34 54 F f NN 58225 34 55 F F NNP 58225 34 56 T T NNP 58225 34 57 F F NNP 58225 34 58 T T NNP 58225 34 59 Hex Hex NNP 58225 34 60 5A 5a RB 58225 34 61 E5 E5 NNP 58225 34 62 As as IN 58225 34 63 primes prime NNS 58225 34 64 become become VBP 58225 34 65 larger large JJR 58225 34 66 , , , 58225 34 67 the the DT 58225 34 68 density density NN 58225 34 69 of of IN 58225 34 70 primes prime NNS 58225 34 71 becomes become VBZ 58225 34 72 smaller small JJR 58225 34 73 as as IN 58225 34 74 1 1 CD 58225 34 75 / / SYM 58225 34 76 ln(n ln(n NN 58225 34 77 ) ) -RRB- 58225 34 78 . . . 58225 35 1 Thus thus RB 58225 35 2 the the DT 58225 35 3 density density NN 58225 35 4 of of IN 58225 35 5 true true JJ 58225 35 6 bits bit NNS 58225 35 7 also also RB 58225 35 8 falls fall VBZ 58225 35 9 off off RP 58225 35 10 . . . 58225 36 1 The the DT 58225 36 2 number number NN 58225 36 3 of of IN 58225 36 4 digits digits JJ 58225 36 5 ( ( -LRB- 58225 36 6 binary binary JJ 58225 36 7 or or CC 58225 36 8 decimal decimal JJ 58225 36 9 ) ) -RRB- 58225 36 10 to to TO 58225 36 11 represent represent VB 58225 36 12 the the DT 58225 36 13 primes prime NNS 58225 36 14 grows grow VBZ 58225 36 15 as as IN 58225 36 16 ln(n ln(n NN 58225 36 17 ) ) -RRB- 58225 36 18 . . . 58225 37 1 Thus thus RB 58225 37 2 , , , 58225 37 3 a a DT 58225 37 4 sequence sequence NN 58225 37 5 of of IN 58225 37 6 primes prime NNS 58225 37 7 represented represent VBN 58225 37 8 as as IN 58225 37 9 primec primec NNS 58225 37 10 is be VBZ 58225 37 11 always always RB 58225 37 12 competitive competitive JJ 58225 37 13 in in IN 58225 37 14 size size NN 58225 37 15 with with IN 58225 37 16 the the DT 58225 37 17 corresponding corresponding JJ 58225 37 18 sequence sequence NN 58225 37 19 in in IN 58225 37 20 ASCI ASCI NNP 58225 37 21 text text NN 58225 37 22 or or CC 58225 37 23 binary binary NN 58225 37 24 , , , 58225 37 25 besides besides IN 58225 37 26 providing provide VBG 58225 37 27 fast fast JJ 58225 37 28 direct direct JJ 58225 37 29 access access NN 58225 37 30 by by IN 58225 37 31 value value NN 58225 37 32 : : : 58225 37 33 bool bool NNP 58225 37 34 isPrime(value isPrime(value NNP 58225 37 35 ) ) -RRB- 58225 37 36 . . . 58225 38 1 The the DT 58225 38 2 results result NNS 58225 38 3 for for IN 58225 38 4 the the DT 58225 38 5 sequence sequence NN 58225 38 6 of of IN 58225 38 7 the the DT 58225 38 8 largest large JJS 58225 38 9 64 64 CD 58225 38 10 bit bit NN 58225 38 11 primes prime NNS 58225 38 12 ( ( -LRB- 58225 38 13 18446744073707000000 18446744073707000000 CD 58225 38 14 to to IN 58225 38 15 18446744073709551558 18446744073709551558 CD 58225 38 16 ) ) -RRB- 58225 38 17 is be VBZ 58225 38 18 : : : 58225 38 19 Format format NN 58225 38 20 Size Size NNP 58225 38 21 ( ( -LRB- 58225 38 22 KB KB NNP 58225 38 23 ) ) -RRB- 58225 38 24 64 64 CD 58225 38 25 Bit bit NN 58225 38 26 Binary binary JJ 58225 38 27 445 445 CD 58225 38 28 Txt txt NN 58225 38 29 1150 1150 CD 58225 38 30 Zip Zip NNP 58225 38 31 Txt Txt NNP 58225 38 32 114 114 CD 58225 38 33 PrimeC PrimeC VBZ 58225 38 34 125 125 CD 58225 38 35 Programs program NNS 58225 38 36 Among among IN 58225 38 37 the the DT 58225 38 38 programs program NNS 58225 38 39 in in IN 58225 38 40 the the DT 58225 38 41 " " `` 58225 38 42 program.zip program.zip NNP 58225 38 43 " " '' 58225 38 44 package package NN 58225 38 45 are be VBP 58225 38 46 : : : 58225 38 47 BuildTxtPrime BuildTxtPrime NNP 58225 38 48 Create create VB 58225 38 49 file file NN 58225 38 50 of of IN 58225 38 51 primes prime NNS 58225 38 52 , , , 58225 38 53 txt txt NN 58225 38 54 format format NN 58225 38 55 TxtToPrimeC TxtToPrimeC NNP 58225 38 56 Convert Convert NNP 58225 38 57 txt txt NN 58225 38 58 to to IN 58225 38 59 primec primec JJ 58225 38 60 format format NN 58225 38 61 . . . 58225 39 1 Goldbach Goldbach NNP 58225 39 2 Verify Verify NNP 58225 39 3 Goldbach Goldbach NNP 58225 39 4 's 's POS 58225 39 5 conjecture conjecture NN 58225 39 6 for for IN 58225 39 7 zero zero CD 58225 39 8 to to IN 58225 39 9 1E12 1e12 CD 58225 39 10 Among among IN 58225 39 11 the the DT 58225 39 12 more more JJR 58225 39 13 than than IN 58225 39 14 15 15 CD 58225 39 15 classes class NNS 58225 39 16 and and CC 58225 39 17 utilities utility NNS 58225 39 18 are be VBP 58225 39 19 : : : 58225 39 20 PrimeGenerator PrimeGenerator NNP 58225 39 21 Create create VB 58225 39 22 prime prime JJ 58225 39 23 numbers number NNS 58225 39 24 in in IN 58225 39 25 a a DT 58225 39 26 given give VBN 58225 39 27 range range NN 58225 39 28 . . . 58225 40 1 Directory directory NN 58225 40 2 A a DT 58225 40 3 vector vector NN 58225 40 4 of of IN 58225 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4 primec primec NN 58225 43 5 file file NN 58225 43 6 . . . 58225 44 1 PrimeCFileReader primecfilereader XX 58225 44 2 Read read VB 58225 44 3 a a DT 58225 44 4 primec primec NN 58225 44 5 file file NN 58225 44 6 . . . 58225 45 1 I -PRON- PRP 58225 45 2 hope hope VBP 58225 45 3 you -PRON- PRP 58225 45 4 find find VBP 58225 45 5 them -PRON- PRP 58225 45 6 useful useful JJ 58225 45 7 . . . 58225 46 1 If if IN 58225 46 2 you -PRON- PRP 58225 46 3 have have VBP 58225 46 4 any any DT 58225 46 5 questions question NNS 58225 46 6 , , , 58225 46 7 observations observation NNS 58225 46 8 or or CC 58225 46 9 bug bug NN 58225 46 10 reports report NNS 58225 46 11 concerning concern VBG 58225 46 12 the the DT 58225 46 13 C++ C++ NNP 58225 46 14 programming programming NN 58225 46 15 or or CC 58225 46 16 the the DT 58225 46 17 content content NN 58225 46 18 of of IN 58225 46 19 the the DT 58225 46 20 prime prime JJ 58225 46 21 files file NNS 58225 46 22 , , , 58225 46 23 send send VB 58225 46 24 an an DT 58225 46 25 email email NN 58225 46 26 ( ( -LRB- 58225 46 27 after after IN 58225 46 28 changing change VBG 58225 46 29 " " `` 58225 46 30 at at IN 58225 46 31 " " '' 58225 46 32 to to TO 58225 46 33 " " `` 58225 46 34 @ @ VB 58225 46 35 " " '' 58225 46 36 . . . 58225 47 1 primes1e12 primes1e12 IN 58225 47 2 at at IN 58225 47 3 earthlink.net earthlink.net XX 58225 47 4 I -PRON- PRP 58225 47 5 embarked embark VBD 58225 47 6 on on IN 58225 47 7 this this DT 58225 47 8 project project NN 58225 47 9 as as IN 58225 47 10 a a DT 58225 47 11 programming programming NN 58225 47 12 challenge challenge NN 58225 47 13 . . . 58225 48 1 I -PRON- PRP 58225 48 2 am be VBP 58225 48 3 not not RB 58225 48 4 a a DT 58225 48 5 mathematician mathematician NN 58225 48 6 . . . 58225 49 1 I -PRON- PRP 58225 49 2 have have VBP 58225 49 3 no no DT 58225 49 4 deep deep JJ 58225 49 5 insight insight NN 58225 49 6 into into IN 58225 49 7 prime prime JJ 58225 49 8 number number NN 58225 49 9 theory theory NN 58225 49 10 . . . 58225 50 1 Please please UH 58225 50 2 confine confine VB 58225 50 3 messages message NNS 58225 50 4 to to IN 58225 50 5 programming programming NN 58225 50 6 issues issue NNS 58225 50 7 . . . 58225 51 1 Here here RB 58225 51 2 are be VBP 58225 51 3 some some DT 58225 51 4 references reference NNS 58225 51 5 : : : 58225 51 6 Prime Prime NNP 58225 51 7 Numbers Numbers NNPS 58225 51 8 : : : 58225 51 9 http://www.primos.mat.br/indexen.html http://www.primos.mat.br/indexen.html NNP 58225 51 10 Wikipedia wikipedia NN 58225 51 11 : : : 58225 51 12 List list NN 58225 51 13 of of IN 58225 51 14 Prime Prime NNP 58225 51 15 Numbers Numbers NNPS 58225 51 16 ( ( -LRB- 58225 51 17 with with IN 58225 51 18 numerous numerous JJ 58225 51 19 references reference NNS 58225 51 20 ) ) -RRB- 58225 51 21 : : : 58225 51 22 https://en.wikipedia.org/wiki/List_of_prime_numbers https://en.wikipedia.org/wiki/list_of_prime_number NNS 58225 51 23 The the DT 58225 51 24 Math Math NNP 58225 51 25 Forum Forum NNP 58225 51 26 : : : 58225 51 27 http://mathforum.org/dr.math/faq/faq.prime.num.html http://mathforum.org/dr.math/faq/faq.prime.num.html NNP 58225 51 28 The the DT 58225 51 29 Prime Prime NNP 58225 51 30 Pages Pages NNPS 58225 51 31 https://primes.utm.edu https://primes.utm.edu XX 58225 51 32 The the DT 58225 51 33 program program NN 58225 51 34 files file NNS 58225 51 35 are be VBP 58225 51 36 also also RB 58225 51 37 posted post VBN 58225 51 38 on on IN 58225 51 39 http://home.earthlink.net/~primes1E12 http://home.earthlink.net/~primes1E12 NNP 58225 51 40 . . . 58225 52 1 Corrections correction NNS 58225 52 2 and and CC 58225 52 3 additions addition NNS 58225 52 4 will will MD 58225 52 5 be be VB 58225 52 6 posted post VBN 58225 52 7 there there RB 58225 52 8 as as IN 58225 52 9 they -PRON- PRP 58225 52 10 occur occur VBP 58225 52 11 . . . 58225 53 1 Don Don NNP 58225 53 2 Kostuch Kostuch NNP 58225 53 3 October October NNP 58225 53 4 , , , 58225 53 5 2018 2018 CD 58225 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