Known 11-digit prime factors of googolduplex − 1

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  2. Number Theory
  3. Known 11-digit prime factors of googolduplex − 1

This is a list of known 11-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 0256250001 (k=1641)
  2. 1 0485760001 (k=1)
  3. 1 0893295001 (k=2178659)
  4. 1 1468800001 (k=7)
  5. 1 3281250001 (k=17)
  6. 1 4400000001 (k=9)
  7. 1 5508687501 (k=248139)
  8. 1 6002416641 (k=97671)
  9. 1 6384000001 (k=1)
  10. 2 0600850001 (k=412017)
  11. 2 4592788001 (k=6148197)
  12. 2 4640000001 (k=77)
  13. 2 4657552001 (k=1541097)
  14. 2 6250000001 (k=21)
  15. 3 0000000001 (k=3)
  16. 3 0720000001 (k=3)
  17. 3 5904000001 (k=561)
  18. 3 6864000001 (k=9)
  19. 4 7393996801 (k=28927)
  20. 4 8000000001 (k=3)
  21. 4 8234496001 (k=23)
  22. 5 2613349377 (k=49)
  23. 5 6113281251 (k=2873)
  24. 6 1120000001 (k=191)
  25. 6 1600000001 (k=77)
  26. 6 6489400001 (k=332447)
  27. 7 3171503617 (k=142913093)
  28. 7 6800000001 (k=3)
  29. 7 9828000001 (k=19957)
  30. 8 8473600001 (k=27)
  31. 9 7656250001 (k=1)