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Old 2014-01-01, 11:11   #1
Kosmaj
 
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Nov 2003

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Default Largest k*2^n-1 Primes Found in 2013

Here is the list of 100 largest "Riesel" primes (k*2^n-1, k>1) found in 2013.

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (January 1, 2014 at 1100 GMT)

Comparison with 2012:
  • 6 primes with more than 1 million digits in 2013, 10 in 2012
  • Minimum exponent on the list n=1468k in 2013, n=1290k in 2012
Code:
-------------------------------------------------------------
 r1    r2    description                     digits     who 
-------------------------------------------------------------
  1    22  40597*2^6808509-1                2049571    L3749
  2    24  304207*2^6643565-1               1999918    L3547
  3    25  398023*2^6418059-1               1932034    L3659
  4    56  15*2^3668194-1                   1104238    L3665
  5    72  464253*2^3321908-1               1000000     L466
  6    73  191273*2^3321908-1               1000000     L466
  7    76  49*2^3309087-1                    996137    L1959
  8    79  5*2^3264650-1                     982759     L384
  9   109  17*2^2946584-1                    887012    L3519
 10   110  33*2^2939063-1                    884748    L3345
 11   120  41*2^2872058-1                    864578    L2484
 12   126  107*2^2819922-1                   848884    L2484
 13   168  33*2^2513872-1                    756753    L3345
 14   173  33*2^2499883-1                    752542    L3345
 15   187  69*2^2410035-1                    725495    L2074
 16   220  103*2^2232551-1                   672067    L2484
 17   225  33*2^2215291-1                    666871    L3345
 18   226  157533*2^2214598-1                666666    L3494
 19   227  33*2^2212971-1                    666173    L3345
 20   243  111*2^2150802-1                   647458    L2484
 21   254  8331405*2^2120345-1               638295    L2055
 22   255  33*2^2118570-1                    637755    L3345
 23   261  85*2^2087651-1                    628448    L2338
 24   286  77*2^2002742-1                    602888    L2074
 25   290  19861029*2^1995311-1              600656     L895
 26   387  267*2^1909876-1                   574933    L1828
 27   391  291*2^1907541-1                   574230    L2484
 28   407  744716047603963*2^1884575-1       567329     L257
 29   413  89*2^1879132-1                    565678    L1828
 30   438  161*2^1859586-1                   559794     L177
 31   452  261*2^1843555-1                   554968    L1828
 32   470  1021*2^1827279-1                  550069    L1828
 33   476  1135*2^1824103-1                  549113    L1828
 34   505  145*2^1807767-1                   544195     L840
 35   523  319*2^1797261-1                   541032    L1819
 36   532  273*2^1788926-1                   538523    L1828
 37   566  273*2^1766747-1                   531847    L1828
 38   611  319*2^1740047-1                   523809    L1819
 39   626  55*2^1729777-1                    520717    L2074
 40   636  600921*2^1727190-1                519942     g337
 41   663  267*2^1705793-1                   513498    L1828
 42   664  291*2^1705173-1                   513311    L2484
 43   670  313*2^1703119-1                   512693    L1809
 44   689  395*2^1690690-1                   508951    L1819
 45   746  297*2^1655042-1                   498220    L2074
 46   784  267*2^1632893-1                   491553    L1828
 47   790  267*2^1629148-1                   490425    L1828
 48   802  225*2^1620601-1                   487852    L2074
 49   812  395*2^1611672-1                   485165    L1819
 50   852  279*2^1590369-1                   478752    L1828
 51   865  277*2^1583097-1                   476563    L2484
 52   893  175*2^1571521-1                   473078    L2074
 53   905  285*2^1565353-1                   471221    L3202
 54   907  285*2^1563167-1                   470563    L3202
 55   920  117*2^1554601-1                   467984    L3519
 56   936  149*2^1541152-1                   463936     L384
 57   944  1077*2^1537453-1                  462823    L1828
 58   946  1245*2^1536104-1                  462417    L1828
 59   947  1293*2^1536042-1                  462398    L1828
 60   952  291*2^1534413-1                   461907    L2484
 61   955  1203*2^1531143-1                  460924    L1828
 62   958  1195*2^1530031-1                  460589    L1828
 63   959  1099*2^1529993-1                  460577    L1828
 64   960  347*2^1529964-1                   460568    L2235
 65   965  1105*2^1529161-1                  460327    L1828
 66   966  1113*2^1527832-1                  459927    L1828
 67   970  115*2^1524183-1                   458827    L2074
 68   972  1265*2^1523548-1                  458637    L1828
 69   975  1221*2^1522283-1                  458256    L1828
 70   979  1257*2^1521398-1                  457990    L1828
 71   980  1015*2^1520177-1                  457622    L1828
 72   981  375*2^1518534-1                   457127    L2235
 73   990  237*2^1512216-1                   455225    L1828
 74   991  1107*2^1511864-1                  455120    L1828
 75  1002  173*2^1504740-1                   452975    L2074
 76  1003  1127*2^1504700-1                  452963    L1828
 77  1004  237*2^1503376-1                   452564    L1828
 78  1012  147*2^1499333-1                   451347    L1959
 79  1018  1351*2^1495467-1                  450184    L1828
 80  1020  1047*2^1494761-1                  449971    L1828
 81  1024  1365*2^1493923-1                  449719    L1828
 82  1030  1287*2^1493088-1                  449468    L1828
 83  1032  1347*2^1492537-1                  449302    L1828
 84  1033  1269*2^1492195-1                  449199    L1828
 85  1034  1023*2^1492030-1                  449149    L1828
 86  1040  1155*2^1490176-1                  448591    L1828
 87  1046  1077*2^1487269-1                  447716    L1828
 88  1049  1239*2^1486540-1                  447497    L1828
 89  1053  377*2^1483586-1                   446607    L1819
 90  1062  1293*2^1480046-1                  445542    L1828
 91  1069  1071*2^1478005-1                  444927    L1828
 92  1073  1329*2^1476061-1                  444342    L1828
 93  1076  1159*2^1475217-1                  444088    L1828
 94  1081  357*2^1473125-1                   443458    L1819
 95  1082  1263*2^1472875-1                  443383    L1828
 96  1086  1317*2^1471508-1                  442972    L1828
 97  1088  1197*2^1471378-1                  442932    L1828
 98  1091  1291*2^1470905-1                  442790    L1828
 99  1094  1155*2^1468763-1                  442145    L1828
100  1095  55*2^1468439-1                    442046    L2074
-------------------------------------------------------------
The list of largest primes found in 2012 can be found here.
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Old 2014-01-01, 12:11   #2
pinhodecarlos
 
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"Carlos Pinho"
Oct 2011
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RPS made a good job. Congratulations to all members. Hoping that 2014 will be better and better.
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Old 2014-01-01, 16:42   #3
pepi37
 
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Dec 2011
After milion nines:)

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This result can be beaten in this year! Congratulations to all!
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Old 2014-12-12, 07:14   #4
pinhodecarlos
 
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"Carlos Pinho"
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Three weeks away to 2014 update. Let's see how RPS behaved.

Cheers to all.

Carlos
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