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2011-01-05, 04:24
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#1 |
Nov 2003
2×1,811 Posts |
Largest k*2^n-1 Primes in 2010
OK, here is the list of 100 largest primes of form k*2^n-1, k>=3 discovered in 2010. Based on the Top-5000 list of largest primes maintained by prof. Caldwell ( primes.utm.edu )
Ranking: r1, rank among k*2^n-1 primes, k>=3 found in 2010 r2, rank among all known primes (today, Jan. 5, 2010 at 0400 GMT) The list of largest primes found in 2009 can be found here. Happy New Year! Code:
---------------------------------------------------------- r1 r2 description digits who year ---------------------------------------------------------- 1 18 3*2^6090515-1 1833429 L1353 2010 2 29 191249*2^3417696-1 1028835 L1949 2010 3 30 59*2^3408416-1 1026038 L426 2010 4 42 17*2^2721830-1 819354 p294 2010 5 64 67*2^2215581-1 666959 L268 2010 6 95 301*2^1801207-1 542220 p281 2010 7 104 283*2^1702599-1 512536 L426 2010 8 105 233*2^1700734-1 511975 L426 2010 9 120 31*2^1611311-1 485055 L330 2010 10 141 301*2^1514873-1 456025 p281 2010 11 143 907*2^1501169-1 451900 L860 2010 12 154 105*2^1467388-1 441730 L384 2010 13 159 8331405*2^1445428-1 435125 L260 2010 14 192 8331405*2^1353931-1 407581 L260 2010 15 194 1087*2^1346917-1 405466 L121 2010 16 203 8331405*2^1331801-1 400919 L260 2010 17 205 19*2^1325245-1 398940 L121 2010 18 216 205*2^1300401-1 391463 L384 2010 19 219 8331405*2^1297878-1 390708 L260 2010 20 221 399*2^1293056-1 389252 L644 2010 21 229 349*2^1278551-1 384885 L579 2010 22 231 205*2^1275889-1 384084 L384 2010 23 232 251*2^1269198-1 382070 L251 2010 24 248 391*2^1247959-1 375676 L644 2010 25 250 169*2^1243903-1 374455 L282 2010 26 256 51*2^1231665-1 370770 L384 2010 27 260 349*2^1228715-1 369883 L579 2010 28 261 287*2^1226144-1 369109 p279 2010 29 262 8331405*2^1224804-1 368710 L260 2010 30 269 333*2^1209174-1 364001 L1830 2010 31 273 269*2^1204740-1 362666 L282 2010 32 281 83*2^1192950-1 359116 L1884 2010 33 287 201*2^1183137-1 356163 L282 2010 34 292 345*2^1175842-1 353967 L536 2010 35 296 227*2^1170724-1 352426 L268 2010 36 302 339*2^1161347-1 349603 L536 2010 37 304 301*2^1157561-1 348464 p281 2010 38 315 443*2^1143154-1 344127 L1862 2010 39 329 61*2^1124049-1 338375 L121 2010 40 332 87*2^1120006-1 337158 L121 2010 41 334 315*2^1116547-1 336117 L536 2010 42 336 353*2^1114356-1 335458 L579 2010 43 338 57*2^1110980-1 334441 L121 2010 44 339 339*2^1110323-1 334244 L536 2010 45 349 57*2^1098272-1 330615 L260 2010 46 354 393*2^1095688-1 329838 L644 2010 47 356 87*2^1089098-1 327854 L121 2010 48 368 73*2^1075107-1 323642 L1884 2010 49 369 1019*2^1072448-1 322843 L121 2010 50 411 317*2^1032378-1 310780 L1978 2010 51 412 8331405*2^1032051-1 310686 L260 2010 52 413 181*2^1032023-1 310673 L323 2010 53 415 51*2^1027635-1 309351 L260 2010 54 418 51*2^1026910-1 309133 L260 2010 55 428 357*2^1019004-1 306754 p291 2010 56 430 139*2^1016619-1 306035 L323 2010 57 443 281*2^1009502-1 303893 L282 2010 58 445 109*2^1006883-1 303105 L282 2010 59 446 1211*2^1006346-1 302944 L121 2010 60 452 1345*2^1000345-1 301137 L121 2010 61 453 345*2^1000251-1 301109 L536 2010 62 458 1213*2^1000099-1 301063 L121 2010 63 465 9277*2^999313-1 300828 L251 2010 64 467 409*2^998261-1 300510 L1817 2010 65 473 490359*2^996559-1 300000 L466 2010 66 480 1377*2^994905-1 299500 L121 2010 67 481 2235*2^994452-1 299364 L323 2010 68 486 2187*2^992632-1 298816 L466 2010 69 491 417*2^991349-1 298429 L1827 2010 70 495 503*2^989052-1 297738 L1830 2010 71 497 2895*2^988301-1 297512 L121 2010 72 498 593*2^986574-1 296992 L1827 2010 73 499 573*2^986514-1 296974 L1817 2010 74 504 471*2^984442-1 296350 L1817 2010 75 508 1485*2^982274-1 295698 L1134 2010 76 510 2895*2^982050-1 295630 L121 2010 77 513 2505*2^979009-1 294715 L121 2010 78 517 477*2^978625-1 294599 L1815 2010 79 518 437*2^978340-1 294513 L1816 2010 80 522 2895*2^977676-1 294314 L121 2010 81 525 405405*2^976891-1 294080 L466 2010 82 543 2835*2^967424-1 291228 L282 2010 83 548 537*2^965096-1 290526 L1819 2010 84 553 549*2^962377-1 289708 L1817 2010 85 555 1065*2^961019-1 289299 L121 2010 86 557 1095*2^960229-1 289061 L121 2010 87 560 5849*2^959492-1 288840 L251 2010 88 563 481*2^958909-1 288664 L1816 2010 89 566 573*2^957476-1 288232 L1815 2010 90 568 1119*2^957013-1 288093 L121 2010 91 576 2415*2^953278-1 286969 L323 2010 92 591 507*2^945498-1 284626 L1809 2010 93 592 5609*2^945280-1 284562 L251 2010 94 593 405405*2^945203-1 284541 L466 2010 95 596 511*2^943223-1 283942 L644 2010 96 604 1209*2^941132-1 283313 L1828 2010 97 609 405405*2^938162-1 282421 L466 2010 98 610 455*2^937606-1 282251 L698 2010 99 611 437*2^937580-1 282243 L565 2010 100 618 1287*2^935710-1 281680 L121 2010 ---------------------------------------------------------- |
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