Known 21-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 21-digit prime factors of Googolplex − 1

This is a list of known 21-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. 1 0225985903 8981324801 (Dario Alpern, k=3633)
  2. 1 1796480000 0000000001 (Phil Carmody, k=9)
  3. 1 2364113510 4000000001 (Dario Alpern, k=943307)
  4. 1 5000000000 0000000001 (Phil Carmody, k=3)
  5. 1 5273437500 0000000001 (Phil Carmody, k=391)
  6. 1 5735626220 7031250001 (Phil Carmody, k=33)
  7. 1 5955433593 7500000001 (Dario Alpern, k=4084591)
  8. 1 6648193359 3750000001 (Dario Alpern, k=68191)
  9. 1 9200000000 0000000001 (Phil Carmody, k=3)
  10. 1 9660800000 0000000001 (Phil Carmody, k=3)
  11. 2 1045339750 4000000001 (Phil Carmody, k=49)
  12. 2 5592664064 0000000001 (Dario Alpern, k=6248209)
  13. 2 5600000000 0000000001 (Phil Carmody, k=1)
  14. 2 5963200000 0000000001 (Dario Alpern, k=16227)
  15. 2 6017600000 0000000001 (Dario Alpern, k=16261)
  16. 2 6843545600 0000000001 (Phil Carmody, k=1)
  17. 2 7343750000 0000000001 (Phil Carmody, k=7)
  18. 3 6934265136 7187500001 (Dario Alpern, k=605131)
  19. 3 6944335937 5000000001 (Dario Alpern, k=37831)
  20. 3 9843832791 0400000001 (Dario Alpern, k=949951)
  21. 4 0960000000 0000000001 (Phil Carmody, k=1)
  22. 4 1938134765 6250000001 (Dario Alpern, k=858893)
  23. 4 6116860184 2738790401 (Phil Carmody, k=1)
  24. 5 9323200000 0000000001 (Dario Alpern, k=37077)
  25. 5 9604644775 3906250001 (Phil Carmody, k=1)
  26. 6 6498463247 8924800001 (Phil Carmody, k=189)
  27. 6 6757202148 4375000001 (Phil Carmody, k=7)
  28. 6 9175290276 4108185601 (Phil Carmody, k=3)
  29. 7 3814613619 1139840001 (Dario Alpern, k=33567)
  30. 7 6800000000 0000000001 (Phil Carmody, k=3)
  31. 8 4170342400 0000000001 (Dario Alpern, k=102747)