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Old 2020-01-01, 00:26   #1
Thomas11
 
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Feb 2003

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Default Largest k*2^n-1 Primes Found In 2019

Here is the list of 78 largest "Riesel" primes (k*2^n-1, k>1) found in 2019.
(Again less than 100 Riesel primes have been submitted to the Top5000 list in 2019.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2020 at 0020 GMT)

Code:
----------------------------------------------------------
  r1    r2    description                    digits  who
----------------------------------------------------------
   1    21  2740879*2^13704395-1            4125441 L4976
   2    53  11*2^7971110-1                  2399545 L2484
   3    58  101*2^7345194-1                 2211126 L1884
   4   133  223*2^5105835-1                 1537012 L2484
   5   198  97*2^4066717-1                  1224206 L2484
   6   223  241*2^3815727-1                 1148651 L2484
   7   575  2973510903*2^3321910-1          1000005 L4960
   8   576  2848144257*2^3321910-1          1000005 L4960
   9   577  2820058827*2^3321910-1          1000005 L4960
  10   578  2601087525*2^3321910-1          1000004 L4960
  11   579  2386538565*2^3321910-1          1000004 L4960
  12   580  2272291887*2^3321910-1          1000004 L4960
  13   581  2167709265*2^3321910-1          1000004 L4960
  14   582  2087077797*2^3321910-1          1000004 L4960
  15   583  1848133623*2^3321910-1          1000004 L4960
  16   584  1825072257*2^3321910-1          1000004 L4960
  17   585  1633473837*2^3321910-1          1000004 L4960
  18   586  1228267623*2^3321910-1          1000004 L4808
  19   587  1148781333*2^3321910-1          1000004 L4808
  20   588  1065440787*2^3321910-1          1000004 L4808
  21   589  1055109357*2^3321910-1          1000004 L4960
  22   590  992309607*2^3321910-1           1000004 L4808
  23   591  926102325*2^3321910-1           1000004 L4808
  24   592  892610007*2^3321910-1           1000004 L4960
  25   593  763076757*2^3321910-1           1000004 L4960
  26   594  607766997*2^3321910-1           1000004 L4808
  27   595  539679177*2^3321910-1           1000004 L4808
  28   596  425521077*2^3321910-1           1000004 L4808
  29   597  132940575*2^3321910-1           1000003 L4808
  30   687  10001*2^3075602-1                925853 L4405
  31   802  199*2^2835667-1                  853624 L2484
  32  1028  333*2^2591874-1                  780235 L2017
  33  1306  231*2^2335281-1                  702992 L1862
  34  1360  4761657101009*2^2292504-1        690126  L257
  35  1479  4207801666259*2^2211084-1        665616  L257
  36  1525  135*2^2180256-1                  656325 L1959
  37  1543  187*2^2172693-1                  654049 L1959
  38  1607  185*2^2127966-1                  640584 L1959
  39  1619  117*2^2117600-1                  637464 L1959
  40  1672  159*2^2081069-1                  626467 L1959
  41  1741  57257*2^2040062-1                614125 L4812
  42  1837  2955*2^1991780-1                 599589 L1862
  43  2023  10005*2^1906876-1                574031 L4405
  44  2032  10005*2^1898938-1                571642 L4405
  45  2042  10005*2^1892466-1                569694 L4405
  46  2073  10005*2^1876648-1                564932 L4405
  47  2104  10005*2^1864432-1                561254 L4405
  48  2258  320607*2^1800434-1               541991  g337
  49  3339  427*2^1593361-1                  479653 L1819
  50  3352  555*2^1591677-1                  479146 L2017
  51  3368  427*2^1590349-1                  478746 L2017
  52  3558  987*2^1551973-1                  467194 L1817
  53  3564  649*2^1551271-1                  466982 L1817
  54  3572  669*2^1550535-1                  466761 L1817
  55  3575  765*2^1550239-1                  466672 L1817
  56  3582  903*2^1549834-1                  466550 L1817
  57  3679  849*2^1542241-1                  464264 L1817
  58  3756  799*2^1536061-1                  462404 L2257
  59  3760  621*2^1535722-1                  462302 L2257
  60  3764  965*2^1535500-1                  462235 L2257
  61  3777  849*2^1534483-1                  461929 L2257
  62  3800  927*2^1533160-1                  461531 L2257
  63  3803  747*2^1532798-1                  461422 L2257
  64  4079  2175*2^1512256-1                 455238 L1862
  65  4457  2175*2^1484389-1                 446849 L1862
  66  5215  2175*2^1430261-1                 430555 L1862
  67 55930  21195711*2^143631-1               43245 L3494
  68 55931  21195711*2^143630-1               43245 L3494
  69 55948  838269645*2^143166-1              43107 L3494
  70 55949  838269645*2^143165-1              43106 L3494
  71 55950  570409245*2^143164-1              43106 L3494
  72 55952  570409245*2^143163-1              43106 L3494
  73 55955  2830598517*2^143113-1             43091 L3494
  74 55956  2830598517*2^143112-1             43091 L3494
  75 55957  4158932595*2^143074-1             43080 L3494
  76 55958  4158932595*2^143073-1             43079 L3494
  77 65800  4111286921397*2^66420-1           20008 L4808
  78 75030  667674063382677*2^33608-1         10132 L4808
----------------------------------------------------------
The list of 97 largest Riesel primes found in 2018 can be found here.

Last fiddled with by Thomas11 on 2020-01-01 at 00:28
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Old 2020-01-01, 01:51   #2
rudy235
 
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Quote:
Originally Posted by Thomas11 View Post
Here is the list of 78 largest "Riesel" primes (k*2^n-1, k>1) found in 2019.
(Again less than 100 Riesel primes have been submitted to the Top5000 list in 2019.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2020 at 0020 GMT)

Code:
----------------------------------------------------------
  r1    r2    description                    digits  who
----------------------------------------------------------
   1    21  2740879*2^13704395-1            4125441 L4976
   2    53  11*2^7971110-1                  2399545 L2484
   3    58  101*2^7345194-1                 2211126 L1884
   4   133  223*2^5105835-1                 1537012 L2484
   5   198  97*2^4066717-1                  1224206 L2484
   6   223  241*2^3815727-1                 1148651 L2484
   7   575  2973510903*2^3321910-1          1000005 L4960
   8   576  2848144257*2^3321910-1          1000005 L4960
   9   577  2820058827*2^3321910-1          1000005 L4960
  10   578  2601087525*2^3321910-1          1000004 L4960
  11   579  2386538565*2^3321910-1          1000004 L4960
  12   580  2272291887*2^3321910-1          1000004 L4960
  13   581  2167709265*2^3321910-1          1000004 L4960
  14   582  2087077797*2^3321910-1          1000004 L4960
  15   583  1848133623*2^3321910-1          1000004 L4960
  16   584  1825072257*2^3321910-1          1000004 L4960
  17   585  1633473837*2^3321910-1          1000004 L4960
  18   586  1228267623*2^3321910-1          1000004 L4808
  19   587  1148781333*2^3321910-1          1000004 L4808
  20   588  1065440787*2^3321910-1          1000004 L4808
  21   589  1055109357*2^3321910-1          1000004 L4960
  22   590  992309607*2^3321910-1           1000004 L4808
  23   591  926102325*2^3321910-1           1000004 L4808
  24   592  892610007*2^3321910-1           1000004 L4960
  25   593  763076757*2^3321910-1           1000004 L4960
  26   594  607766997*2^3321910-1           1000004 L4808
  27   595  539679177*2^3321910-1           1000004 L4808
  28   596  425521077*2^3321910-1           1000004 L4808
  29   597  132940575*2^3321910-1           1000003 L4808
  30   687  10001*2^3075602-1                925853 L4405
  31   802  199*2^2835667-1                  853624 L2484
  32  1028  333*2^2591874-1                  780235 L2017
  33  1306  231*2^2335281-1                  702992 L1862
  34  1360  4761657101009*2^2292504-1        690126  L257
  35  1479  4207801666259*2^2211084-1        665616  L257
  36  1525  135*2^2180256-1                  656325 L1959
  37  1543  187*2^2172693-1                  654049 L1959
  38  1607  185*2^2127966-1                  640584 L1959
  39  1619  117*2^2117600-1                  637464 L1959
  40  1672  159*2^2081069-1                  626467 L1959
  41  1741  57257*2^2040062-1                614125 L4812
  42  1837  2955*2^1991780-1                 599589 L1862
  43  2023  10005*2^1906876-1                574031 L4405
  44  2032  10005*2^1898938-1                571642 L4405
  45  2042  10005*2^1892466-1                569694 L4405
  46  2073  10005*2^1876648-1                564932 L4405
  47  2104  10005*2^1864432-1                561254 L4405
  48  2258  320607*2^1800434-1               541991  g337
  49  3339  427*2^1593361-1                  479653 L1819
  50  3352  555*2^1591677-1                  479146 L2017
  51  3368  427*2^1590349-1                  478746 L2017
  52  3558  987*2^1551973-1                  467194 L1817
  53  3564  649*2^1551271-1                  466982 L1817
  54  3572  669*2^1550535-1                  466761 L1817
  55  3575  765*2^1550239-1                  466672 L1817
  56  3582  903*2^1549834-1                  466550 L1817
  57  3679  849*2^1542241-1                  464264 L1817
  58  3756  799*2^1536061-1                  462404 L2257
  59  3760  621*2^1535722-1                  462302 L2257
  60  3764  965*2^1535500-1                  462235 L2257
  61  3777  849*2^1534483-1                  461929 L2257
  62  3800  927*2^1533160-1                  461531 L2257
  63  3803  747*2^1532798-1                  461422 L2257
  64  4079  2175*2^1512256-1                 455238 L1862
  65  4457  2175*2^1484389-1                 446849 L1862
  66  5215  2175*2^1430261-1                 430555 L1862
  67 55930  21195711*2^143631-1               43245 L3494
  68 55931  21195711*2^143630-1               43245 L3494
  69 55948  838269645*2^143166-1              43107 L3494
  70 55949  838269645*2^143165-1              43106 L3494
  71 55950  570409245*2^143164-1              43106 L3494
  72 55952  570409245*2^143163-1              43106 L3494
  73 55955  2830598517*2^143113-1             43091 L3494
  74 55956  2830598517*2^143112-1             43091 L3494
  75 55957  4158932595*2^143074-1             43080 L3494
  76 55958  4158932595*2^143073-1             43079 L3494
  77 65800  4111286921397*2^66420-1           20008 L4808
  78 75030  667674063382677*2^33608-1         10132 L4808
----------------------------------------------------------
The list of 97 largest Riesel primes found in 2018 can be found here.

Thank you. Nice job!
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Old 2020-01-01, 05:32   #3
VBCurtis
 
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I snuck one in under the buzzer:
167 · 2^3077568 - 1 ‏(‎926443 digits) via code L1862 on 12/31/2019
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