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Old 2015-01-01, 12:14   #1
Kosmaj
 
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Nov 2003

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Default Largest k*2^n-1 Primes Found In 2014

Here is the list of 100 largest "Riesel" primes (k*2^n-1, k>1) found in 2014.

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (January 1, 2015 at 1200 GMT)

Comparison with 2013:
  • 11 primes with more than 1 million digits in 2014, 6 in 2013
  • Minimum exponent on the list n=1744930 in 2014, n=1468439 in 2013
Code:
-----------------------------------------------------
  r1   r2     description             digits    who 
-----------------------------------------------------
   1   12  3*2^11484018-1            3457035   L3993
   2   21  502573*2^7181987-1        2162000   L3964
   3   22  402539*2^7173024-1        2159301   L3961
   4   28  37*2^6660841-1            2005115   L3933
   5   38  51*2^5085142-1            1530782    L760
   6   50  11*2^4643238-1            1397755   L2484
   7   51  27*2^4583717-1            1379838   L2992
   8   53  27*2^4542344-1            1367384   L1204
   9   84  113*2^3628034-1           1092150   L2484
  10  107  113*2^3409934-1           1026495   L2484
  11  110  67*2^3391385-1            1020911   L1959
  12  127  33*2^3242126-1             975979   L3345
  13  136  69*2^3140225-1             945304   L3764
  14  141  69*2^3097340-1             932395   L3764
  15  176  4013*2^2873250-1           864939   L1959
  16  205  69*2^2649939-1             797713   L3764
  17  229  87*2^2518122-1             758033   L2484
  18  244  103*2^2462567-1            741309   L2484
  19  249  65*2^2450614-1             737711   L2074
  20  255  69*2^2428251-1             730979    L384
  21  303  105*2^2280078-1            686374   L2444
  22  304  155877*2^2273465-1         684387    L541
  23  397  243*2^2147387-1            646431   L2444
  24  458  4001*2^2093286-1           630146   L1959
  25  525  125*2^2037752-1            613427   L2444
  26  587  317*2^1991592-1            599532   L1809
  27  590  105*2^1989208-1            598814   L1959
  28  600  195*2^1983875-1            597209   L1828
  29  605  381*2^1974841-1            594489   L1809
  30  610  1485*2^1968400-1           592551   L1134
  31  622  125*2^1963964-1            591215   L1959
  32  628  45*2^1957377-1             589231   L1862
  33  644  391*2^1949159-1            586758   L2519
  34  646  351*2^1947281-1            586193   L1809
  35  664  357*2^1934704-1            582407   L1809
  36  680  335*2^1917610-1            577261   L1809
  37  691  379*2^1909097-1            574699   L1809
  38  698  1323*2^1899548-1           571825   L1828
  39  700  1131*2^1897379-1           571172   L1828
  40  702  1053*2^1891799-1           569492   L1828
  41  709  391*2^1886863-1            568005   L1809
  42  727  1063*2^1876427-1           564864   L1828
  43  728  1389*2^1876376-1           564849   L1828
  44  730  4015*2^1875453-1           564572   L1959
  45  732  1209*2^1874804-1           564376   L1828
  46  737  357*2^1871600-1            563411   L2519
  47  738  1309*2^1871045-1           563244   L1828
  48  744  1073*2^1867944-1           562311   L1828
  49  745  1115*2^1866094-1           561754   L1828
  50  751  347*2^1861974-1            560513   L2519
  51  754  1165*2^1860749-1           560145   L1828
  52  761  1125*2^1856703-1           558927   L1828
  53  762  1155*2^1855389-1           558531   L1828
  54  763  4031*2^1855338-1           558516   L1959
  55  765  1229*2^1853192-1           557870   L1828
  56  772  275*2^1846390-1            555822   L2444
  57  775  133*2^1843619-1            554987   L1959
  58  778  1089*2^1840695-1           554108   L1828
  59  779  105*2^1840262-1            553977   L1959
  60  780  1009*2^1840225-1           553966   L1828
  61  781  1323*2^1839623-1           553785   L1828
  62  783  399*2^1839019-1            553603   L1809
  63  787  379*2^1837291-1            553083   L1809
  64  790  4061*2^1835582-1           552569   L1959
  65  792  1181*2^1834802-1           552334   L1828
  66  796  1021*2^1833459-1           551930   L1828
  67  797  1485*2^1832651-1           551687   L1134
  68  800  295*2^1832129-1            551529   L2444
  69  809  235*2^1824515-1            549237   L2444
  70  825  454483*2^1817935-1         547259     p77
  71  844  4117*2^1807085-1           543991   L1959
  72  858  4017*2^1800617-1           542044   L1959
  73  861  4079*2^1798192-1           541314   L1959
  74  866  383*2^1794636-1            540242   L1809
  75  868  1101*2^1794417-1           540177   L1828
  76  869  387*2^1793857-1            540008   L2519
  77  870  105*2^1793519-1            539906   L1959
  78  873  1185*2^1791429-1           539277   L1828
  79  879  1065*2^1787993-1           538243   L1828
  80  891  1333*2^1784103-1           537072   L1828
  81  893  4069*2^1781691-1           536347   L1959
  82  896  391*2^1780155-1            535883   L1809
  83  899  123*2^1779728-1            535754   L3967
  84  909  293*2^1775450-1            534467   L2074
  85  910  1005*2^1775235-1           534402   L1828
  86  922  1005*2^1765454-1           531458   L1828
  87  924  1347*2^1765384-1           531437   L1828
  88  927  399*2^1764851-1            531276   L1809
  89  930  335*2^1762548-1            530583   L1809
  90  931  1399*2^1762191-1           530476   L1828
  91  935  1253*2^1760738-1           530039   L1828
  92  936  4199*2^1760292-1           529905   L1959
  93  937  1037*2^1760216-1           529881   L1828
  94  943  357*2^1756764-1            528842   L2519
  95  952  1391*2^1754922-1           528288   L1828
  96  955  1261*2^1753021-1           527716   L1828
  97  958  355*2^1752713-1            527622   L2519
  98  963  1293*2^1750532-1           526966   L1828
  99  968  297*2^1745377-1            525414   L2074
 100  969  1293*2^1744930-1           525280   L1828
-----------------------------------------------------
The list of 100 largest Riesel primes found in 2013 can be found here.
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Old 2015-01-02, 12:14   #2
pinhodecarlos
 
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"Carlos Pinho"
Oct 2011
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Thank you.
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