Known 58-digit prime factors of Googolplex - 1

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  3. Known 58-digit prime factors of Googolplex − 1

This is a list of known 58-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. 10620023 6032000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1620487)
  2. 11522358 5880896983 7241420464 1245305538 1774902343 7500000001 (Dario Alpern, k=4251)
  3. 12079595 5200000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  4. 12582912 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 14103150 5920000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=215197)
  6. 16277800 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=81389)
  7. 16951958 2845566823 7467648000 0000000000 0000000000 0000000001 (Dario Alpern, k=367587)
  8. 16997500 8460800000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=101313)
  9. 18591907 8400000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=28369)
  10. 18861990 0331019468 8000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=53609)
  11. 21818433 8636800000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=127)
  12. 30616061 1391357428 1707520000 0000000000 0000000000 0000000001 (Dario Alpern, k=16597)
  13. 37545738 7402633457 8957175835 9670639038 0859375000 0000000001 (Dario Alpern, k=6763639)
  14. 41772141 3015215148 3343914151 1917114257 8125000000 0000000001 (Phil Carmody, k=301)
  15. 48674748 3139683689 8456115250 1555625349 2832183837 8906250001 (Dario Alpern, k=11493)
  16. 51091200 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=7983)
  17. 54035198 2993408000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=251621)
  18. 59515069 0757011046 4000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2643)
  19. 64741267 9022352222 0912855118 5131072998 0468750000 0000000001 (Dario Alpern, k=46651)
  20. 68821426 9644119025 4930120318 0220909416 6755676269 5312500001 (Phil Carmody, k=13)
  21. 73609375 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4711)
  22. 83558400 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=51)
  23. 86201711 6176384000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=49)
  24. 92025000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3681)
  25. 97578195 5236953990 6067075207 8294754028 3203125000 0000000001 (Phil Carmody, k=9)