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Old 2006-01-01, 11:06   #1
Kosmaj
 
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Nov 2003

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Default k*2^n-1 primes in 2005

Usting the Top-5000 data-base of largest primes I compiled the following list of 100 largest primes k*2^n-1, k>=3 at the end of 2005.

Rankining:
r1, rank among k*2^n-1, k>=3
r2, rank among all known primes
Code:
 r1   r2           prime           digits  who   year  comment
  1   18           3*2^2312734-1   696203  L158  2005 
  2   22      467917*2^1993429-1   600088  L160  2005 
  3   23      345067*2^1876573-1   564911  g59   2005 
  4   26      417643*2^1800787-1   542097  L134  2005 
  5   27      357659*2^1779748-1   535764  L47   2005 
  6   29         121*2^1695499-1   510399  L62   2005 
  7   31      110413*2^1591999-1   479245  L111  2005 
  8   32         121*2^1589157-1   478387  L65   2005 
  9   34      234847*2^1535589-1   462264  L73   2005 
 10   35         121*2^1526097-1   459404  L65   2005 
 11   38     2232007*2^1490605-1   448724  L4    2003 
 12   39          29*2^1478344-1   445028  L10   2005 
 13   41      325627*2^1472117-1   443157  L111  2005 
 14   43      149797*2^1414137-1   425703  L105  2005 
 15   45      192089*2^1395688-1   420150  L49   2004 
 16   64      138847*2^1283793-1   386466  L2    2003 
 17   69    80857169*2^1251076-1   376620  L10   2004 
 18   73           3*2^1232255-1   370947  L30   2004 
 19   77           3*2^1201046-1   361552  L77   2004 
 20   78      502541*2^1199930-1   361221  L93   2004 
 21   79     1195203*2^1195203-1   359799  L124  2005  Woodall
 22   82       71009*2^1185112-1   356760  L47   2004 
 23   86      152713*2^1154707-1   347607  g23   2004 
 24   89      350107*2^1144101-1   344415  L35   2004 
 25   90   209826493*2^1140855-1   343440  L10   2004 
 26   91      500621*2^1138518-1   342734  L73   2004 
 27   92      504613*2^1136459-1   342114  L84   2004 
 28   94          11*2^1104606-1   332521  L10   2005 
 29   96      412717*2^1084409-1   326446  L76   2004 
 30   97      150847*2^1076441-1   324047  L73   2004 
 31   98   209826493*2^1071303-1   322503  L10   2004 
 32  100          11*2^1044086-1   314303  L10   2005 
 33  101         121*2^1039965-1   313063  L65   2004 
 34  108          21*2^ 999599-1   300911  L56   2005 
 35  110           3*2^ 992700-1   298833  L59   2004 
 36  112         121*2^ 990219-1   298088  L66   2004 
 37  113          21*2^ 986130-1   296857  L56   2005 
 38  119   243163663*2^ 919087-1   276682  L10   2004 
 39  123      309817*2^ 901173-1   271286  L64   2004 
 40  124    19581121*2^ 893547-1   268992  p49   2004 
 41  126      170591*2^ 866870-1   260960  L47   2004 
 42  127       93997*2^ 864401-1   260216  L49   2004 
 43  128    19581121*2^ 862127-1   259534  p49   2003 
 44  131          77*2^ 855770-1   257615  L56   2005 
 45  134  1581823815*2^ 846116-1   254716  L83   2005 
 46  136           9*2^ 828709-1   249468  L38   2005 
 47  145         659*2^ 800516-1   240983  g59   2004 
 48  158      460139*2^ 779536-1   234670  L47   2004 
 49  160          27*2^ 777992-1   234201  L151  2005 
 50  163      246299*2^ 752600-1   226561  L42   2004 
 51  165         243*2^ 744442-1   224102  p48   2005 
 52  166          11*2^ 743322-1   223764  L10   2004 
 53  168          71*2^ 735802-1   221501  L97   2005 
 54  169    19581121*2^ 735431-1   221395  p49   2004 
 55  170  2995125705*2^ 734584-1   221142  L72   2005 
 56  172      212893*2^ 730387-1   219874  g163  2003 
 57  173          27*2^ 729314-1   219547  L125  2005 
 58  174         289*2^ 728205-1   219215  L6    2005 
 59  176           3*2^ 727699-1   219060  L41   2004 
 60  177      220033*2^ 719731-1   216666  g163  2004 
 61  178          15*2^ 712294-1   214424  L52   2005 
 62  186           3*2^ 702038-1   211335  L30   2003 
 63  195      204223*2^ 696891-1   209791  g163  2003 
 64  197          11*2^ 696438-1   209650  L10   2004 
 65  207      261221*2^ 689422-1   207543  L35   2003 
 66  214         171*2^ 684003-1   205908  L91   2005 
 67  217  2995125705*2^ 674974-1   203197  L87   2005 
 68  219    34252725*2^ 672043-1   202313  p113  2005 
 69  221         243*2^ 670891-1   201961  p48   2004 
 70  222         231*2^ 668218-1   201157  L87   2005 
 71  224      667071*2^ 667071-1   200815  g55   2000  Woodall
 72  225     6476615*2^ 666666-1   200694  L81   2005 
 73  226     3028517*2^ 666666-1   200693  L81   2005 
 74  227     2806367*2^ 666666-1   200693  L81   2005 
 75  228     2403341*2^ 666666-1   200693  L81   2005 
 76  229     2172225*2^ 666666-1   200693  L81   2005 
 77  230     2031801*2^ 666666-1   200693  L81   2005 
 78  231      192201*2^ 666666-1   200692  L81   2005 
 79  245         111*2^ 656935-1   197760  L91   2005 
 80  248          15*2^ 656264-1   197557  L52   2005 
 81  262      215503*2^ 649891-1   195643  g163  2003 
 82  267    19581121*2^ 645943-1   194456  p49   2003 
 83  269  1581823815*2^ 644836-1   194125  L83   2005 
 84  272          29*2^ 644044-1   193879  L10   2004 
 85  282    19581121*2^ 637021-1   191770  p49   2003 
 86  286  3234846615*2^ 635652-1   191360  p113  2005 
 87  294      109897*2^ 630221-1   189721  g163  2003 
 88  297  2995125705*2^ 629062-1   189377  L87   2005 
 89  302          27*2^ 627794-1   188987  L107  2005 
 90  307      126667*2^ 626497-1   188600  g23   2003 
 91  315     8331405*2^ 616479-1   185586  L87   2005 
 92  316      279703*2^ 616235-1   185511  L53   2004 
 93  317      103259*2^ 615076-1   185162  g163  2002 
 94  319  1581823815*2^ 614637-1   185034  L83   2005 
 95  320      222997*2^ 613153-1   184583  g163  2001 
 96  323         159*2^ 611020-1   183938  L91   2005 
 97  324         289*2^ 610737-1   183853  L6    2005 
 98  325      357491*2^ 609338-1   183435  g302  2003 
 99  326          77*2^ 607920-1   183005  L56   2004 
100  335         111*2^ 602565-1   181393  L91   2005
50 of above 100 were found in 2005!
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Old 2006-01-01, 11:29   #2
Kosmaj
 
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Default 100 largest Riesel primes found in 2005

k>=3, r1 and r2 have the same meaning as above.
Code:
 r1   r2           prime           digits  who   comment
  1   18           3*2^2312734-1   696203  L158
  2   22      467917*2^1993429-1   600088  L160
  3   23      345067*2^1876573-1   564911  g59 
  4   26      417643*2^1800787-1   542097  L134
  5   27      357659*2^1779748-1   535764  L47 
  6   29         121*2^1695499-1   510399  L62 
  7   31      110413*2^1591999-1   479245  L111
  8   32         121*2^1589157-1   478387  L65 
  9   34      234847*2^1535589-1   462264  L73 
 10   35         121*2^1526097-1   459404  L65 
 11   39          29*2^1478344-1   445028  L10 
 12   41      325627*2^1472117-1   443157  L111
 13   43      149797*2^1414137-1   425703  L105
 14   79     1195203*2^1195203-1   359799  L124  Woodall
 15   94          11*2^1104606-1   332521  L10 
 16  100          11*2^1044086-1   314303  L10 
 17  108          21*2^ 999599-1   300911  L56 
 18  113          21*2^ 986130-1   296857  L56 
 19  131          77*2^ 855770-1   257615  L56 
 20  134  1581823815*2^ 846116-1   254716  L83 
 21  136           9*2^ 828709-1   249468  L38 
 22  160          27*2^ 777992-1   234201  L151
 23  165         243*2^ 744442-1   224102  p48 
 24  168          71*2^ 735802-1   221501  L97 
 25  170  2995125705*2^ 734584-1   221142  L72 
 26  173          27*2^ 729314-1   219547  L125
 27  174         289*2^ 728205-1   219215  L6  
 28  178          15*2^ 712294-1   214424  L52 
 29  214         171*2^ 684003-1   205908  L91 
 30  217  2995125705*2^ 674974-1   203197  L87 
 31  219    34252725*2^ 672043-1   202313  p113
 32  222         231*2^ 668218-1   201157  L87 
 33  225     6476615*2^ 666666-1   200694  L81 
 34  226     3028517*2^ 666666-1   200693  L81 
 35  227     2806367*2^ 666666-1   200693  L81 
 36  228     2403341*2^ 666666-1   200693  L81 
 37  229     2172225*2^ 666666-1   200693  L81 
 38  230     2031801*2^ 666666-1   200693  L81 
 39  231      192201*2^ 666666-1   200692  L81 
 40  245         111*2^ 656935-1   197760  L91 
 41  248          15*2^ 656264-1   197557  L52 
 42  269  1581823815*2^ 644836-1   194125  L83 
 43  286  3234846615*2^ 635652-1   191360  p113
 44  297  2995125705*2^ 629062-1   189377  L87 
 45  302          27*2^ 627794-1   188987  L107
 46  315     8331405*2^ 616479-1   185586  L87 
 47  319  1581823815*2^ 614637-1   185034  L83 
 48  323         159*2^ 611020-1   183938  L91 
 49  324         289*2^ 610737-1   183853  L6  
 50  335         111*2^ 602565-1   181393  L91 
 51  343  3234846615*2^ 599555-1   180494  p113
 52  350         171*2^ 590818-1   177857  L91 
 53  357     8331405*2^ 585714-1   176325  L87 
 54  365          65*2^ 578512-1   174152  L132
 55  369         171*2^ 576733-1   173617  L91 
 56  371  1581823815*2^ 574196-1   172860  L83 
 57  374  1581823815*2^ 571773-1   172131  L83 
 58  376  1581823815*2^ 570823-1   171845  L83 
 59  378          15*2^ 568780-1   171222  L52 
 60  380     5380571*2^ 567890-1   170959  L81 
 61  381     5256777*2^ 567890-1   170959  L81 
 62  382     4537013*2^ 567890-1   170959  L81 
 63  383     4455531*2^ 567890-1   170959  L81 
 64  384     4206591*2^ 567890-1   170959  L81 
 65  385     3941273*2^ 567890-1   170959  L81 
 66  386     3443493*2^ 567890-1   170959  L81 
 67  387     3399591*2^ 567890-1   170959  L81 
 68  388     3275663*2^ 567890-1   170959  L81 
 69  389     2166717*2^ 567890-1   170959  L81 
 70  390     1699307*2^ 567890-1   170959  L81 
 71  391     1113315*2^ 567890-1   170958  L81 
 72  392      829653*2^ 567890-1   170958  L81 
 73  393      183435*2^ 567890-1   170958  L81 
 74  394       41117*2^ 564778-1   170020  L6  
 75  400  1581823815*2^ 560649-1   168782  L83 
 76  404         219*2^ 558313-1   168072  L91 
 77  409  2995125705*2^ 553148-1   166524  L87 
 78  410  1581823815*2^ 552718-1   166394  L83 
 79  411     5761455*2^ 551907-1   166148  g393
 80  413      210885*2^ 549843-1   165525  L137
 81  417         153*2^ 545716-1   164280  L91 
 82  418     5761455*2^ 544162-1   163816  g393
 83  425         231*2^ 535713-1   161269  L87 
 84  433  2995125705*2^ 529005-1   159256  L87 
 85  444         123*2^ 521031-1   156849  L91 
 86  445         111*2^ 520923-1   156816  L91 
 87  447         123*2^ 518540-1   156099  L91 
 88  448     5761455*2^ 517136-1   155681  g393
 89  449         123*2^ 516456-1   155471  L91 
 90  451  1581823815*2^ 516152-1   155387  L83 
 91  455      281065*2^ 513505-1   154586  L80 
 92  457       70013*2^ 512206-1   154195  g276
 93  458      692835*2^ 511792-1   154071  L138
 94  459   121125181*2^ 511347-1   153939  p92 
 95  460       13131*2^ 511111-1   153864  L123
 96  463         289*2^ 509401-1   153348  L6  
 97  466         395*2^ 505000-1   152023  L56 
 98  471      964387*2^ 502793-1   151362  g396
 99  472         289*2^ 501991-1   151117  L6  
100  474  1581823815*2^ 500591-1   150703  L83
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Old 2006-01-01, 11:49   #3
Kosmaj
 
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BTW, the summary of primes found in 2004 can be found here.

And finally,
HAPPY NEW YEAR!

Kosmaj
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