Known 70-digit prime factors of Googolplex - 1

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  2. Number Theory
  3. Known 70-digit prime factors of Googolplex − 1

This is a list of known 70-digit prime factors of googolplex − 1, i.e., 1010^100 − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 100 and 0 ≤ n ≤ 100.

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

  1. 1600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 1720600297 5956532690 1962940830 9590701264 8240197449 9225616455 0781250001 (Phil Carmody, k=213)
  3. 1898783593 4645980184 8538972990 3545230627 0599365234 3750000000 0000000001 (Dario Alpern, k=280211)
  4. 2117582368 1357508476 7080625169 9104905128 4790039062 5000000000 0000000001 (Phil Carmody, k=1)
  5. 2957190048 3915669610 7238531112 6708984375 0000000000 0000000000 0000000001 (Dario Alpern, k=6659)
  6. 3231174267 7852643549 6644020339 8292396741 4535582065 5822753906 2500000001 (Phil Carmody, k=1)
  7. 3326735157 5571988480 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=189103)
  8. 3382710778 1547738341 0325273871 4218139648 4375000000 0000000000 0000000001 (Phil Carmody, k=39)
  9. 3718000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1859)
  10. 5638935499 0971085612 7276201732 4566841125 4882812500 0000000000 0000000001 (Dario Alpern, k=5201)
  11. 7452172212 6519307494 1635131835 9375000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1311)
  12. 7825838110 8753383159 6374511718 7500000000 0000000000 0000000000 0000000001 (Dario Alpern, k=43023)
  13. 9640643838 7930393218 9941406250 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=53)