Known 59-digit prime factors of googolduplex − 1

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  3. Known 59-digit prime factors of googolduplex − 1

This is a list of known 59-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. 104857600 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 114841790 4979476480 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=51)
  3. 130602948 0418636254 4128000000 0000000000 0000000000 0000000001 (Phil Carmody, k=177)
  4. 164798730 2177966739 6913282573 2231140136 7187500000 0000000001 (Phil Carmody, k=19)
  5. 175921860 4441600000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 200840724 2033225437 4188493265 9737785587 5339748017 9630080001 (Phil Carmody, k=671)
  7. 212676479 3255865396 6460912964 4855132160 0000000000 0000000001 (Phil Carmody, k=1)
  8. 290790257 4592000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=346649)
  9. 410655940 1917751555 5225600000 0000000000 0000000000 0000000001 (Dario Alpern, k=1424749)
  10. 455296000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3557)
  11. 466933209 3657730252 8000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=81)
  12. 540055334 5680236816 4062500000 0000000000 0000000000 0000000001 (Dario Alpern, k=14497)
  13. 540570063 6123823049 5082581092 8996282904 9652838400 0000000001 (Phil Carmody, k=303)
  14. 560995424 1663217544 5556640625 0000000000 0000000000 0000000001 (Dario Alpern, k=2409457)
  15. 564132074 3876576671 0275784134 8648071289 0625000000 0000000001 (Phil Carmody, k=813)
  16. 660351221 7600000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=123)
  17. 765797879 7533798731 5782584119 0060600638 3895874023 4375000001 (Dario Alpern, k=5650591)
  18. 891089439 3920898437 5000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=299)
  19. 944215747 7982174307 3071615981 4619459211 8263244628 9062500001 (Dario Alpern, k=2786833)
  20. 944404841 8595930112 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2097)
  21. 957809713 0411805364 7396689196 8943239761 7119513647 5136000001 (Phil Carmody, k=1)