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-   -   Largest k*2^n-1 Primes in 2010 (https://www.mersenneforum.org/showthread.php?t=14543)

 Kosmaj 2011-01-05 04:24

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 ( [URL="http://primes.utm.edu"]primes.utm.edu [/URL])

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 [URL="http://www.mersenneforum.org/showthread.php?t=12936"]here[/URL].

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
----------------------------------------------------------

[/CODE]

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