Known 91-digit prime factors of googolduplex − 1

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  3. Known 91-digit prime factors of googolduplex − 1

This is a list of known 91-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. 1 2874603271 4843750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  2. 2 0250467969 1628552973 2704162597 6562500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=57)
  3. 2 7117079496 8704608997 7061030825 7118917562 1755200846 2909571072 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  4. 3 0718451858 3193409339 1399140164 6892711283 0581425119 5617979428 3728996424 0098073593 7740800001 (Phil Carmody, k=253)
  5. 3 4028236692 0938463463 3746074317 6821145600 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 3 7545500126 5406670036 4507189078 7018461334 0328086069 0286008413 1777468170 2400000000 0000000001 (Phil Carmody, k=17)
  7. 3 8194424556 2716141175 3335665767 5840519715 0323812363 0469942763 3425394649 3705625632 4093870081 (Phil Carmody, k=3)
  8. 3 8566513062 2157666130 0709021618 7902460532 8718507870 2804723302 4000000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 4 1685152125 4338303524 8555460312 7646827177 1944796306 0305420473 0242848726 6703769600 0000000001 (Phil Carmody, k=9)
  10. 4 5035996273 7049600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 5 4762505929 8595101446 5757847224 3200000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  12. 5 6018790000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5601879)
  13. 5 6668397794 4357425643 5200000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 5 8825000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2353)
  15. 5 9057134323 6621637559 5164196743 4974761929 1679071850 4144605509 7256062690 2702383383 4455040001 (Phil Carmody, k=19)
  16. 6 6984284785 5761647224 4262695312 5000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1473)
  17. 7 2791893904 6664353886 8396490215 6731113791 4657592773 4375000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)