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Old 2019-01-01, 00:08   #1
Thomas11
 
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Feb 2003

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Default Largest k*2^n-1 Primes Found In 2018

Here is the list of 97 largest "Riesel" primes (k*2^n-1, k>1) found in 2018.
(Actually there had been only 97 Riesel primes submitted to the Top5000 list in 2018.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2019 at 0005 GMT)

Code:
----------------------------------------------------------
  r1    r2    description                    digits  who
----------------------------------------------------------
   1    18  8508301*2^17016603-1            5122515 L4784
   2    56  127*2^6836153-1                 2057890 L1862
   3    96  43*2^5408183-1                  1628027 L1884
   4   125  1229*2^4703492-1                1415896 L1828
   5   129  79*2^4658115-1                  1402235 L1884
   6   142  13*2^4333087-1                  1304391 L1862
   7   149  1091*2^4215518-1                1269001 L1828
   8   168  1199*2^3889576-1                1170883 L1828
   9   182  265*2^3765189-1                 1133438 L2484
  10   190  119*2^3698412-1                 1113336 L2484
  11   198  215*2^3628962-1                 1092429 L2484
  12   213  119*2^3571416-1                 1075106 L2484
  13   219  265*2^3564373-1                 1072986 L2484
  14   225  1103*2^3558176-1                1071121 L1828
  15   226  1379*2^3557072-1                1070789 L1828
  16   231  1199*2^3548380-1                1068172 L1828
  17   446  600921*2^3219922-1               969299  g337
  18   453  600921*2^3173683-1               955380  g337
  19   471  45*2^3094632-1                   931579 L1862
  20   483  271*2^3079189-1                  926931 L2484
  21   559  169*2^2917805-1                  878350 L2484
  22   583  241*2^2857313-1                  860140 L2484
  23   616  215*2^2751022-1                  828143 L2484
  24   623  1981*2^2728877-1                 821478 L1134
  25   766  303*2^2562423-1                  771369 L2017
  26   781  311*2^2544778-1                  766058 L2017
  27   799  241*2^2522801-1                  759442 L2484
  28   802  199*2^2518871-1                  758259 L2484
  29   820  319*2^2498685-1                  752182 L2017
  30   821  321*2^2496594-1                  751553 L2235
  31   848  325*2^2473267-1                  744531 L2017
  32   854  119*2^2468556-1                  743112 L2484
  33   900  239*2^2421404-1                  728918 L2484
  34   904  303*2^2417452-1                  727729 L2235
  35   907  333*2^2412735-1                  726309 L2017
  36   908  83*2^2411962-1                   726075 L1959
  37   942  321*2^2378535-1                  716013 L2017
  38   948  97*2^2374485-1                   714794 L2484
  39   966  305*2^2358854-1                  710089 L2017
  40   992  105*2^2334755-1                  702834 L1959
  41  1073  265*2^2258071-1                  679750 L2484
  42  1130  271*2^2223601-1                  669374 L2484
  43  1173  169*2^2193049-1                  660176 L2484
  44  1255  241*2^2135279-1                  642786 L2484
  45  1259  215*2^2131988-1                  641795 L2484
  46  1311  217*2^2092673-1                  629960 L2484
  47  1377  265*2^2051155-1                  617462 L2484
  48  1695  2655*2^1879275-1                 565722 L2484
  49  1742  2655*2^1859692-1                 559827 L1862
  50  1846  10007*2^1811598-1                545350 L1751
  51  1867  2415*2^1801615-1                 542344 L2484
  52  1976  2895*2^1762011-1                 530422 L2484
  53  1988  2565*2^1758906-1                 529487 L2484
  54  2016  2955*2^1748957-1                 526492 L2484
  55  2102  57257*2^1719090-1                517503 L4812
  56  2306  2925*2^1657921-1                 499088 L2484
  57  2385  2325*2^1646536-1                 495661 L2484
  58  2601  10005*2^1606698-1                483669 L4405
  59  2613  320607*2^1604657-1               483056  g337
  60  2733  551*2^1583718-1                  476750 L3994
  61  2737  433*2^1583059-1                  476551 L3994
  62  2744  471*2^1582593-1                  476411 L3994
  63  2761  449*2^1579160-1                  475378 L3994
  64  2778  427*2^1577169-1                  474778 L3994
  65  2789  557*2^1575504-1                  474277 L3994
  66  2798  557*2^1571700-1                  473132 L3994
  67  2832  597*2^1563213-1                  470577 L2519
  68  2959  939*2^1532143-1                  461224 L2257
  69  2960  815*2^1531386-1                  460997 L2257
  70  2968  951*2^1530151-1                  460625 L2257
  71  2975  633*2^1529603-1                  460460 L2257
  72  2996  621*2^1524287-1                  458859 L2519
  73  3003  889*2^1522531-1                  458331 L2257
  74  3023  741*2^1518755-1                  457194 L2017
  75  3051  689*2^1512316-1                  455256 L2257
  76  3053  871*2^1511925-1                  455138 L2257
  77  3060  607*2^1510953-1                  454845 L1978
  78  3065  625*2^1509873-1                  454520 L2257
  79  3133  825*2^1504415-1                  452877 L1817
  80  3154  691*2^1503141-1                  452494 L2257
  81  3188  691*2^1500869-1                  451810 L1819
  82  3216  837*2^1498329-1                  451045 L1819
  83  3219  855*2^1498084-1                  450972 L1819
  84  3268  703*2^1494427-1                  449871 L2257
  85  3270  745*2^1494273-1                  449824 L1819
  86  3279  975*2^1493869-1                  449703 L2257
  87  3525  405405*2^1476144-1               444370  L466
  88  3835  320607*2^1452298-1               437191  g337
  89  4822  78557*2^1383002-1                416330  p401
  90 55336  13375563435*2^137137-1            41293  p364
  91 55337  13375563435*2^137136-1            41293  p364
  92 55794  10429091973*2^135136-1            40691  p364
  93 55795  10429091973*2^135135-1            40690  p364
  94 56083  73378515705*2^133148-1            40093  L167
  95 56084  73378515705*2^133147-1            40093  L167
  96 73300  14059969053*2^36672-1             11050  p364
  97 85416  101406820312263*2^12042-1          3640  p364
----------------------------------------------------------
The list of 100 largest Riesel primes found in 2017 can be found
http://www.mersenneforum.org/showthread.php?t=22867

Last fiddled with by Kosmaj on 2019-01-02 at 08:00
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