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Old 2009-01-01, 03:41   #1
Kosmaj
 
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Nov 2003

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Default k*2^n-1 primes in 2008

Here is the list of 100 largest primes of form k*2^n-1, k>=3 discovered in 2008. Based on the Top-5000 list maintained by prof. Caldwell.

Ranking:
r1, rank among k*2^n-1, k>=3 found in 2008
r2, rank among all known primes

Code:
----------------------------------------------------------
 r1   r2    description            digits   who    date
----------------------------------------------------------
  1   17  3*2^4235414-1           1274988  L606  Apr 2008
  2   20  485767*2^3609357-1      1086531  L622  Jun 2008
  3   22  3139*2^3321905-1         999997  L185  Jan 2008
  4   24  113983*2^3201175-1       963655  L613  May 2008
  5   26  5*2^3059698-1            921062  L503  Nov 2008
  6   29  4348099*2^2976221-1      895939  L466  Dec 2008
  7   40  5*2^2460482-1            740680  L503  Nov 2008
  8   49  5077*2^2198565-1         661838  L251  Oct 2008
  9   54  23*2^2141626-1           644696  L545  Apr 2008
 10   57  1003*2^2076535-1         625103   L51  Dec 2008
 11   58  9*2^2060941-1            620407  L503  Aug 2008
 12   64  25*2^1977369-1           595249  L426  Oct 2008
 13   70  15*2^1837873-1           553257  L632  Dec 2008
 14   73  33*2^1813526-1           545928  L621  Oct 2008
 15   77  5077*2^1753317-1         527805  L251  Apr 2008
 16   80  19*2^1684813-1           507181  L503  Jun 2008
 17   83  63*2^1659338-1           499513  L503  Jul 2008
 18   84  61*2^1654383-1           498021  L503  Jul 2008
 19   85  69*2^1649423-1           496528  L621  Aug 2008
 20  103  19709699*2^1521540-1     458037  L421  Oct 2008
 21  107  9*2^1481821-1            446074  L503  Apr 2008
 22  113  21*2^1452771-1           437329  L503  Apr 2008
 23  115  19*2^1434165-1           431728  L503  Apr 2008
 24  116  113*2^1425998-1          429271  L257  Jun 2008
 25  121  127*2^1398889-1          421110  L486  Feb 2008
 26  122  1564347*2^1398269-1      420928  L466  Feb 2008
 27  125  113*2^1389674-1          418336  L257  Sep 2008
 28  142  81*2^1335675-1           402081  L268  Jun 2008
 29  149  99*2^1292395-1           389052  L282  Apr 2008
 30  159  2084259*2^1257787-1      378638  L466  Jan 2008
 31  162  49*2^1257295-1           378486  L217  Apr 2008
 32  165  27*2^1253870-1           377454   L65  Jun 2008
 33  175  19581121*2^1229561-1     370143   p49  Jul 2008
 34  184  5*2^1194164-1            359480  L478  Jan 2008
 35  190  21*2^1170083-1           352232  L503  Mar 2008
 36  192  27*2^1163629-1           350289  L503  Mar 2008
 37  193  55*2^1162155-1           349846  L545  Mar 2008
 38  199  31*2^1142093-1           343806  L503  Apr 2008
 39  205  63*2^1126551-1           339128  L323  May 2008
 40  209  33*2^1115902-1           335922  L488  Mar 2008
 41  210  27*2^1108214-1           333608  L590  Mar 2008
 42  221  55*2^1075711-1           323824  L545  Mar 2008
 43  224  107*2^1070256-1          322182  L621  Aug 2008
 44  226  133*2^1065655-1          320797  L632  Dec 2008
 45  227  257*2^1064062-1          320317  L632  Dec 2008
 46  228  217*2^1059961-1          319083  L639  Dec 2008
 47  238  217*2^1026869-1          309121  L632  Dec 2008
 48  239  91*2^1026521-1           309016  L323  Dec 2008
 49  243  205*2^1019679-1          306957  L632  Nov 2008
 50  248  729*2^1003373-1          302049  L466  Dec 2008
 51  257  215*2^999170-1           300783  L323  Oct 2008
 52  262  291*2^996371-1           299941  L261  Jun 2008
 53  264  75*2^995721-1            299744  L257  Jan 2008
 54  267  93*2^990684-1            298228  L282  Sep 2008
 55  270  403*2^981831-1           295564  L284  Dec 2008
 56  271  317*2^981378-1           295427  L623  Aug 2008
 57  272  303*2^978724-1           294628  L548  Dec 2008
 58  278  145*2^972835-1           292855  L639  Nov 2008
 59  279  61*2^971585-1            292479   L80  Feb 2008
 60  280  79*2^969795-1            291940   L80  Mar 2008
 61  281  229*2^969073-1           291723  L268  Oct 2008
 62  282  95*2^968636-1            291591   L80  Mar 2008
 63  283  143*2^968622-1           291587  L621  Nov 2008
 64  285  255*2^962590-1           289771  g320  May 2008
 65  286  135*2^961897-1           289562  L323  May 2008
 66  290  135*2^959059-1           288708  L616  May 2008
 67  292  10474035*2^953628-1      287078   L18  Dec 2008
 68  294  3234846615*2^949441-1    285820  p113  Apr 2008
 69  297  167*2^945934-1           284757  L621  Oct 2008
 70  301  21547*2^936473-1         281911  L284  Mar 2008
 71  303  167*2^934492-1           281313  L621  Oct 2008
 72  304  291*2^934097-1           281194  L261  Apr 2008
 73  305  273*2^930663-1           280160  L260  Apr 2008
 74  307  3313*2^928263-1          279439  L251  Dec 2008
 75  308  397*2^926925-1           279035  L644  Dec 2008
 76  310  209*2^921484-1           277397  L421  Sep 2008
 77  315  263*2^916202-1           275807  L426  Jul 2008
 78  316  285*2^915913-1           275720  L261  Mar 2008
 79  317  259*2^914173-1           275196  L639  Oct 2008
 80  318  331*2^913201-1           274904  L543  Oct 2008
 81  319  10474035*2^910955-1      274232   L18  Dec 2008
 82  320  83*2^910716-1            274155  L545  Mar 2008
 83  321  399*2^906480-1           272881  L644  Dec 2008
 84  325  93*2^903187-1            271889  L282  Jan 2008
 85  329  6465*2^897008-1          270031   L20  Sep 2008
 86  336  165*2^889902-1           267890  L268  Aug 2008
 87  337  7195377*2^888888-1       267589  L284  Apr 2008
 88  338  1545*2^887559-1          267186  L251  Dec 2008
 89  340  167*2^885664-1           266614  L621  Aug 2008
 90  343  285*2^881240-1           265283  L323  Jan 2008
 91  344  759375*2^880769-1        265144  L284  May 2008
 92  345  193*2^880287-1           264996  L323  Jan 2008
 93  346  117*2^877874-1           264269  L488  Jan 2008
 94  349  135*2^876997-1           264005  L260  Feb 2008
 95  352  3539*2^869868-1          261860  L251  Jun 2008
 96  353  157*2^869073-1           261620  L585  May 2008
 97  359  10474035*2^860172-1      258945   L18  Nov 2008
 98  360  203*2^859602-1           258769  L268  Oct 2008
 99  364  24949*2^859435-1         258721  L468  Nov 2008
100  369  736320585*2^856778-1     257925  L426  Oct 2008
----------------------------------------------------------
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