Known 80-digit prime factors of googolduplex − 1

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  3. Known 80-digit prime factors of googolduplex − 1

This is a list of known 80-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. 1172052589 6542317988 7246380636 4556463631 6116806460 1894420480 0000000000 0000000001 (Phil Carmody, k=239)
  2. 1384541974 4029641151 4282226562 5000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=19029)
  3. 1600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 1621441904 6400000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=618531)
  5. 2295014289 8711834887 4172383887 4788179303 4565713920 0000000000 0000000000 0000000001 (Phil Carmody, k=201)
  6. 2318978342 6857957238 0986064672 4700927734 3750000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1671)
  7. 2498001805 4066022159 5317125320 4345703125 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  8. 2594073385 3654056960 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  9. 2695312500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=69)
  10. 3113816929 8616320000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=177)
  11. 4605741650 6952580936 8400359744 5553168654 4418334960 9375000000 0000000000 0000000001 (Phil Carmody, k=87)
  12. 4658615955 8387430505 0038427975 6800000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=147)
  13. 5040000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=63)
  14. 5153960755 2000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  15. 5441349593 1271427252 7955472469 3298339843 7500000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1225283)
  16. 6390810012 8173828125 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5361)
  17. 6493253913 9457621688 3200000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  18. 6548361852 7650833129 8828125000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  19. 7598088824 7784150735 2422922849 6551513671 8750000000 0000000000 0000000000 0000000001 (Phil Carmody, k=219)
  20. 7669808798 4883311918 3382223127 4098157882 6904296875 0000000000 0000000000 0000000001 (Dario Alpern, k=141483)