Known 85-digit prime factors of Googolplex - 1

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  3. Known 85-digit prime factors of Googolplex − 1

This is a list of known 85-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. 10351 9633412361 1450195312 5000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1389417)
  2. 10871 6359680000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=81)
  3. 14379 8828125000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=589)
  4. 17593 9224862720 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2097359)
  5. 26843 5456000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 27033 6000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=33)
  7. 29497 1466064453 1250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3093)
  8. 34972 0252756924 3102334439 7544860839 8437500000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=63)
  9. 37282 0068150758 7432861328 1250000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1281)
  10. 42633 3095345995 9493656583 6178488098 0849266052 2460937500 0000000000 0000000000 0000000001 (Dario Alpern, k=3145783)
  11. 43520 7425653061 3638460636 1389160156 2500000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=49)
  12. 45496 7496278016 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=847443)
  13. 49319 2672729492 1875000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=10343)
  14. 50771 9814777374 2675781250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=13629)
  15. 71134 7070136980 6192815303 8024902343 7500000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=250283)