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2010-01-01, 08:48
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#1 |
Nov 2003
2×1,811 Posts |
k*2^n-1 Primes in 2009
Here is the list of 100 largest primes of form k*2^n-1, k>=3 discovered in 2009. Based on the Top-5000 list maintained by prof. Caldwell.
Ranking: r1, rank among k*2^n-1, k>=3 found in 2009 r2, rank among all known primes The list of largest primes found in 2008 can be found here. Happy New Year! Code:
---------------------------------------------------------- r1 r2 description digits who date ---------------------------------------------------------- 1 25 5*2^3569154-1 1074424 L503 Jan 2009 2 50 127*2^2346377-1 706332 L282 Jul 2009 3 77 27*2^1902689-1 572768 L1153 Dec 2009 4 110 99*2^1591984-1 479237 L282 Mar 2009 5 114 311*2^1581686-1 476138 L623 Jun 2009 6 133 99*2^1461496-1 439957 L282 Mar 2009 7 139 9*2^1419855-1 427420 L323 Nov 2009 8 143 105*2^1407665-1 423752 L384 Dec 2009 9 158 107*2^1362654-1 410202 L621 Jul 2009 10 160 299*2^1355004-1 407900 L426 Oct 2009 11 177 19581121*2^1303821-1 392497 p49 Jul 2009 12 217 105*2^1193072-1 359153 L384 Nov 2009 13 222 21*2^1182083-1 355844 L323 Aug 2009 14 245 842711*2^1126138-1 339008 L251 Feb 2009 15 263 103*2^1077739-1 324434 L621 Jun 2009 16 275 41*2^1059562-1 318962 L282 Mar 2009 17 279 12345*2^1047788-1 315420 L426 May 2009 18 281 105*2^1043063-1 313996 L384 Jun 2009 19 298 41*2^1018778-1 306685 L282 Sep 2009 20 309 8009271*2^1000005-1 301039 g396 Mar 2009 21 316 335*2^997912-1 300404 L769 Oct 2009 22 320 53355*2^996559-1 299999 L466 Oct 2009 23 325 9405*2^995003-1 299530 L644 Dec 2009 24 326 9945*2^994111-1 299262 L644 Oct 2009 25 327 371*2^993238-1 298998 L644 Jul 2009 26 330 19861029*2^991533-1 298489 L895 Dec 2009 27 331 9615*2^991347-1 298430 L644 Jun 2009 28 335 351*2^985817-1 296764 L536 Sep 2009 29 336 189*2^984683-1 296422 L384 Aug 2009 30 337 103*2^984667-1 296417 L621 May 2009 31 338 395*2^983160-1 295964 L644 Jan 2009 32 340 333*2^982086-1 295640 L536 Aug 2009 33 346 103*2^977951-1 294395 L621 May 2009 34 349 375*2^976533-1 293969 L644 Nov 2009 35 353 3003*2^973751-1 293132 L615 Jul 2009 36 358 123*2^968927-1 291679 L384 Aug 2009 37 363 3001*2^966755-1 291026 L615 Jun 2009 38 364 19861029*2^966404-1 290924 L895 Nov 2009 39 366 195*2^963608-1 290078 L323 Nov 2009 40 374 123*2^958050-1 288404 L384 Sep 2009 41 375 1845*2^955940-1 287770 L251 Feb 2009 42 379 309*2^954323-1 287283 L548 Jan 2009 43 385 327*2^949109-1 285713 L536 Jul 2009 44 386 1845*2^948584-1 285556 L251 Feb 2009 45 390 1545*2^946280-1 284862 L251 Jan 2009 46 393 245*2^943088-1 283901 L282 Dec 2009 47 396 321*2^942046-1 283587 L536 Jul 2009 48 397 2943*2^940906-1 283245 L862 Aug 2009 49 399 123*2^939098-1 282699 L257 Aug 2009 50 400 277*2^937325-1 282166 L323 Jun 2009 51 401 375*2^936717-1 281983 L644 Oct 2009 52 406 3039469*2^933473-1 281010 L466 Aug 2009 53 409 3039469*2^928643-1 279556 L466 Aug 2009 54 411 465*2^928115-1 279394 L198 Feb 2009 55 420 1575*2^920488-1 277098 L860 Oct 2009 56 431 195*2^915929-1 275725 L323 May 2009 57 438 207*2^912512-1 274696 L330 May 2009 58 442 3039469*2^908463-1 273482 L466 Jun 2009 59 443 251*2^907478-1 273181 L421 Jan 2009 60 454 3005*2^902580-1 271708 L615 Jul 2009 61 458 3045*2^902181-1 271588 L615 Jul 2009 62 462 297*2^899234-1 270699 L421 Jun 2009 63 463 371*2^898690-1 270536 L644 Jun 2009 64 467 153*2^894504-1 269275 L384 Jun 2009 65 470 345*2^894064-1 269143 L536 Jun 2009 66 472 333*2^893871-1 269085 L536 Jun 2009 67 476 189*2^891876-1 268484 L621 Jun 2009 68 482 189*2^888200-1 267378 L323 Jun 2009 69 488 3003*2^882106-1 265544 L615 Jul 2009 70 495 141*2^878798-1 264547 L282 Feb 2009 71 496 3135*2^878081-1 264333 L615 Jul 2009 72 505 108045*2^875337-1 263508 L466 Mar 2009 73 507 108045*2^871024-1 262210 L466 Mar 2009 74 509 2953*2^870435-1 262031 L862 Jun 2009 75 511 327*2^869829-1 261848 L536 May 2009 76 513 405405*2^868467-1 261441 L466 Jul 2009 77 519 1815*2^863743-1 260016 L251 Feb 2009 78 520 391*2^863459-1 259930 L644 Jul 2009 79 527 3793717*2^859433-1 258722 L466 Apr 2009 80 528 3512185*2^859433-1 258722 L466 Jan 2009 81 537 405405*2^857986-1 258286 L466 Jul 2009 82 544 2951*2^852818-1 256728 L862 May 2009 83 550 377*2^850160-1 255927 L644 Jun 2009 84 553 315*2^846610-1 254858 L585 May 2009 85 555 1575*2^845854-1 254631 L251 Sep 2009 86 558 147687*2^843689-1 253981 L550 Jan 2009 87 560 325*2^842787-1 253707 L848 Jul 2009 88 561 211*2^842347-1 253575 L915 Aug 2009 89 577 367*2^834573-1 251235 L644 Feb 2009 90 580 333*2^832611-1 250644 L536 May 2009 91 585 111546435*2^831835-1 250416 L466 Dec 2009 92 597 465*2^825730-1 248573 L198 Feb 2009 93 598 351*2^825586-1 248529 L701 Aug 2009 94 634 325*2^809389-1 243653 L848 Jun 2009 95 635 3135*2^809190-1 243594 L615 Jul 2009 96 644 3997*2^803217-1 241797 L644 Jan 2009 97 651 153*2^800567-1 240997 L323 Jan 2009 98 687 3003*2^786991-1 236912 L615 Jul 2009 99 688 375*2^786387-1 236729 L644 Jun 2009 100 692 333*2^783927-1 235989 L536 May 2009 ---------------------------------------------------------- |
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2010-01-01, 10:25
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#2 |
Sep 2004
B0E16 Posts |
I got r1=8, 12, 18, 29, 36, 40 and 64. Cool!
Last fiddled with by em99010pepe on 2010-01-01 at 10:25 |
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2011-01-02, 15:39
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#3 |
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Sep 2004
B0E16 Posts |
k*2^n-1 Primes in 2010
Waiting for k*2^n-1 Primes in 2010...
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