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Old 2012-01-01, 16:52   #1
Kosmaj
 
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Nov 2003

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Post Largest k*2^n-1 Primes in 2011

Here is the list of 100 largest primes of form k*2^n-1, k>1, found in 2011. The list is extracted from the Top-5000 site.

Rankings
r1, rank of primes found in 2011
r2, rank of all known primes right now (Jan. 1, 2012 at 1600 GMT)

The list of largest primes found in 2010 can be found here.

Note that the smallest exponent needed to enter the list was more than 1240k, while in 2010 it was less than 1M!

Code:
--------------------------------------------------------------
    r1     r2    description               digits  who  year
--------------------------------------------------------------
     1	   27  353159*2^4331116-1         1303802 L2408 2011
     2	   28  141941*2^4299438-1         1294265  L689 2011
     3	   32  123547*2^3804809-1         1145367 L2371 2011
     4	   33  415267*2^3771929-1         1135470 L2373 2011
     5	   35  65531*2^3629342-1          1092546 L2269 2011
     6	   39  428639*2^3506452-1         1055553 L2046 2011
     7	   44  9*2^3259381-1               981173 L1828 2011 
     8	   48  383731*2^3021377-1          909531  L466 2011 
     9	   51  1095*2^2992587-1            900862 L1828 2011 
    10	   55  1207*2^2861901-1            861522 L1828 2011 
    11	   63  1243*2^2623707-1            789818 L1828 2011 
    12	   64  13*2^2606075-1              784508 L1862 2011 
    13	   65  75*2^2562382-1              771356 L2055 2011 
    14	   69  165*2^2500130-1             752617 L2055 2011 
    15	   84  15*2^2323205-1              699356 L2484 2011 
    16	   87  1087*2^2293345-1            690369 L1828 2011 
    17	   93  165*2^2207550-1             664541 L2055 2011 
    18	  105  61*2^2134577-1              642574 L2055 2011 
    19	  106  75*2^2130432-1              641326 L2055 2011 
    20	  108  57*2^2103370-1              633180 L2055 2011 
    21	  114  75*2^2050637-1              617306 L2055 2011 
    22	  119  8331405*2^1993674-1         600163  L260 2011 
    23	  123  8331405*2^1984565-1         597421  L260 2011 
    24	  125  148323*2^1973319-1          594034  L587 2011 
    25	  131  243*2^1923567-1             579054 L2055 2011 
    26	  141  8331405*2^1858587-1         559498  L260 2011 
    27	  142  87*2^1852590-1              557688 L2055 2011 
    28	  150  35*2^1817486-1              547120 L2074 2011 
    29	  153  1305*2^1809766-1            544797 L1828 2011 
    30	  154  1185*2^1809466-1            544707 L1828 2011 
    31	  157  1193*2^1801112-1            542192 L1828 2011 
    32	  159  1045*2^1800025-1            541865 L1828 2011 
    33	  165  99*2^1777688-1              535140 L1862 2011 
    34	  167  243*2^1777467-1             535074 L2055 2011 
    35	  174  31*2^1755317-1              528405  L330 2011 
    36	  179  61*2^1734983-1              522284 L2055 2011 
    37	  182  113*2^1721438-1             518207 L2484 2011 
    38	  188  20049*2^1687252-1           507918 L1471 2011 
    39	  208  315*2^1639432-1             493521 L1827 2011 
    40	  213  53*2^1632590-1              491461 L2055 2011 
    41	  215  113*2^1627496-1             489928 L2484 2011 
    42	  216  63*2^1626259-1              489555 L1828 2011 
    43	  219  87*2^1616138-1              486508 L1828 2011 
    44	  233  289*2^1587151-1             477783 L1828 2011 
    45	  251  69*2^1566375-1              471528 L1828 2011 
    46	  254  161*2^1553570-1             467674  L177 2011 
    47	  257  95*2^1543676-1              464695 L2338 2011 
    48	  259  83*2^1540750-1              463814 L1959 2011 
    49	  260  315*2^1539539-1             463450 L1827 2011 
    50	  261  333*2^1537644-1             462880 L1827 2011 
    51	  262  63*2^1535612-1              462268 L1828 2011 
    52	  264  8331405*2^1534807-1         462030  L260 2011 
    53	  267  247*2^1529485-1             460424 L2338 2011 
    54	  269  165*2^1521629-1             458059 L2055 2011 
    55	  275  65*2^1505640-1              453245 L2055 2011 
    56	  285  61*2^1487125-1              447672 L1828 2011 
    57	  286  57*2^1486214-1              447397 L1828 2011 
    58	  287  8922449*2^1482840-1         446387  L536 2011 
    59	  292  333*2^1474766-1             443952 L1827 2011 
    60	  294  69*2^1473217-1              443485 L2055 2011 
    61	  295  327*2^1473201-1             443481 L1827 2011 
    62	  301  165*2^1462368-1             440219 L2101 2011 
    63	  303  83*2^1461350-1              439913 L1959 2011 
    64	  304  83*2^1455358-1              438109 L1959 2011 
    65	  310  83*2^1437882-1              432848 L1959 2011 
    66	  314  243*2^1431443-1             430910 L2055 2011 
    67	  322  65*2^1421088-1              427792 L1828 2011 
    68	  326  61*2^1416365-1              426371 L2055 2011 
    69	  329  339*2^1410789-1             424693 L1830 2011 
    70	  332  55*2^1406997-1              423551 L1884 2011 
    71	  338  85*2^1395605-1              420121 L2338 2011 
    72	  339  77*2^1390004-1              418435 L2074 2011 
    73	  344  89*2^1383108-1              416359 L1884 2011 
    74	  351  129*2^1376223-1             414287 L1959 2011 
    75	  352  65*2^1374574-1              413790 L2055 2011 
    76	  353  147*2^1374216-1             413683 L1959 2011 
    77	  354  321*2^1371846-1             412970 L1830 2011 
    78	  356  195*2^1369746-1             412337 L2101 2011 
    79	  358  243*2^1368212-1             411876 L2055 2011 
    80	  359  245*2^1367128-1             411549 L1862 2011 
    81	  362  77*2^1365452-1              411044 L2074 2011 
    82	  365  321*2^1363671-1             410509 L1830 2011 
    83	  367  171*2^1362662-1             410205 L1959 2011 
    84	  371  87*2^1358189-1              408858 L2055 2011 
    85	  373  63*2^1357156-1              408547 L1828 2011 
    86	  392  87*2^1332741-1              401197 L1828 2011 
    87	  410  117*2^1302764-1             392174 L1959 2011 
    88	  420  393*2^1297402-1             390560  L644 2011 
    89	  431  135*2^1288177-1             387783 L1959 2011 
    90	  437  131*2^1283258-1             386302 L1862 2011 
    91	  442  181*2^1281453-1             385759 L2484 2011 
    92	  457  147*2^1273684-1             383420 L1959 2011 
    93	  468  193*2^1268399-1             381829 L1959 2011 
    94	  497  119*2^1256952-1             378383 L2338 2011 
    95	  506  181*2^1250169-1             376341 L2074 2011 
    96	  511  201*2^1249030-1             375998 L1862 2011 
    97	  517  153*2^1245154-1             374831 L1959 2011 
    98	  526  123*2^1241690-1             373789 L1959 2011 
    99	  530  27029*2^1240648-1           373477 L2055 2011 
   100	  531  159*2^1240229-1             373349 L1959 2011 
--------------------------------------------------------------
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