Known 12-digit prime factors of googolduplex − 1

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  2. Number Theory
  3. Known 12-digit prime factors of googolduplex − 1

This is a list of known 12-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. 10 0907200001 (k=63067)
  2. 10 6907803649 (k=13050269)
  3. 14 0800000001 (k=11)
  4. 16 5888000001 (k=81)
  5. 17 0774437501 (k=2732391)
  6. 18 2521213001 (k=182521213)
  7. 18 7500000001 (k=3)
  8. 21 2733001729 (k=101439)
  9. 24 9832960001 (k=97591)
  10. 26 6368000001 (k=2081)
  11. 27 5200000001 (k=43)
  12. 28 9910292481 (k=27)
  13. 29 2968750001 (k=3)
  14. 32 8125000001 (k=21)
  15. 38 4000000001 (k=3)
  16. 39 0625000001 (k=1)
  17. 39 5640832001 (k=6037)
  18. 40 2653184001 (k=3)
  19. 40 9600000001 (k=1)
  20. 46 9620340001 (k=23481017)
  21. 49 8018906251 (k=3187321)
  22. 50 6159104001 (k=61787)
  23. 52 2343750001 (k=3343)
  24. 54 9316406251 (k=9)
  25. 55 3648128001 (k=33)
  26. 60 4991362501 (k=48399309)
  27. 63 0240900001 (k=6302409)
  28. 67 1875000001 (k=43)
  29. 72 0000000001 (k=9)
  30. 79 9744000001 (k=781)
  31. 85 1968000001 (k=13)
  32. 86 4000000001 (k=27)
  33. 94 7147262401 (k=591967039)