Known 257-digit prime factors of googolduplex − 1

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  3. Known 257-digit prime factors of googolduplex − 1

This is a list of known 257-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 1114146 0353568422 4740921180 1600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  2. 1873444 1216230207 1582517385 6197954049 0234982311 0551448740 4573031881 2275072559 7143173217 7734375000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=51)
  3. 2126764 7932558653 9664609129 6448551321 6000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 2500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 2956766 0014365421 0699721024 9907739188 6408535085 6033881695 4531840000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=23)
  6. 3081487 9110195773 6488956470 8135883709 6609626371 4462111238 3902072906 4941406250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 3303511 7279559846 7166732671 7315866441 5929873810 8115761155 9737911848 4708810226 6989785698 1073675357 5146808018 4985550103 2258466020 9521700835 4666177183 3896636962 8906250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=57)
  8. 3709206 1506874213 8573173526 1547639513 3675647787 5779100245 3039058917 5813400956 2935899731 2082723208 4375363389 1913600115 9027049567 3848927253 8572549819 9462890625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  9. 6437304 9877017726 9983929294 4055680283 6331570908 4200205996 3588749058 0270054267 4951804412 3259116488 8709841989 6211820252 7003866088 9523830304 0634187019 6485352274 7497749458 6211218999 9623289207 0258113648 1512658065 1849508285 5224609375 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  10. 7014477 8874237090 3491973876 9531250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=617)
  11. 7656353 2557211154 2792592866 7214784757 7600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  12. 7656991 9143336930 1573169135 8039137340 8049646270 8650145543 9781494066 5842933679 2841478146 1603292839 9664216125 6059700109 0407687550 5944565061 9674256033 8004759685 6032565693 0842797009 9728554487 2283935546 8750000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=119)