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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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Old 2019-01-01, 00:17   #2
pinhodecarlos
 
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Thank you Thomas. HNY to all.
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Old 2019-01-02, 08:01   #3
Kosmaj
 
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Great job Thomas!
Happy New Year and many primes!
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Old 2019-01-07, 15:10   #4
Thomas11
 
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Quote:
Originally Posted by Thomas11 View Post
Actually there had been only 97 Riesel primes submitted to the Top5000 list in 2018.
I'll have to correct myself for the above statement.

To state it more precisely:
As of 01.01.2019 00:05 GMT there had been 97 Riesel primes still listed in the Top5000 list and the associated Top20 lists as found in 2018. The total number of Riesel primes submitted to the list in 2018 was actually higher (116).

As of 01.01.2019 00:05 GMT the following Riesel primes had already dropped from the list(s):
Code:
73948  655846766879901*2^33505-1          10101 L4808 2018 Triplet (1)
73951  621988357825221*2^33505-1          10101 L4808 2018 Triplet (1)
73954  122323528364049*2^33507-1          10101 L4808 2018 Triplet (1)
73958  429915684905751*2^33505-1          10101 L4808 2018 Triplet (1)
73961  39708630308943*2^33506-1           10100 L4808 2018 Triplet (1)
73964  8506028064897*2^33508-1            10100 L4808 2018 Triplet (1)
73967  14026913943159*2^33507-1           10100 L4808 2018 Triplet (1)
73970  25458525735903*2^33506-1           10100 L4808 2018 Triplet (1)
73973  90585694774959*2^33503-1           10100 L4808 2018 Triplet (1)
73976  633669130955577*2^33500-1          10100 L4808 2018 Triplet (1)
73979  74594253521889*2^33503-1           10100 L4808 2018 Triplet (1)
73982  275690740456281*2^33501-1          10100 L4808 2018 Triplet (1)
73985  13994628271791*2^33505-1           10100   c88 2018
          Triplet (1) (Not an ECPP prime but submitted with an ECPP code)
73988  221033351637921*2^33501-1          10100 L4808 2018 Triplet (1)
73991  202985401217511*2^33501-1          10100 L4808 2018 Triplet (1)
73994  178205491111701*2^33501-1          10100 L4808 2018 Triplet (1)
73998  171013289842167*2^33500-1          10099 L4808 2018 Triplet (1)
74001  145360980646197*2^33500-1          10099 L4808 2018 Triplet (1)
74004  140892134560437*2^33500-1          10099 L4808 2018 Triplet (1)

Last fiddled with by Thomas11 on 2019-01-07 at 15:13
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