Known 27-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 27-digit prime factors of Googolplex − 1

This is a list of known 27-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. 1092047 2491636054 5566720001 (Phil Carmody, k=37)
  2. 1106804 6444225730 9696000001 (Phil Carmody, k=3)
  3. 1140994 5316416891 4403328001 (Dario Alpern, k=197931)
  4. 1204394 5312500000 0000000001 (Dario Alpern, k=12333)
  5. 1266845 2864000000 0000000001 (Dario Alpern, k=773221)
  6. 1449293 7643622400 0000000001 (Phil Carmody, k=2109)
  7. 1934281 3113834066 7952988161 (Phil Carmody, k=1)
  8. 2087285 9854283831 8445363201 (Phil Carmody, k=221)
  9. 2660402 3863836672 0000000001 (Dario Alpern, k=774279)
  10. 2684354 5600000000 0000000001 (Phil Carmody, k=1)
  11. 2720083 0941329156 4308889601 (Phil Carmody, k=9)
  12. 2726717 0304000000 0000000001 (Dario Alpern, k=6501)
  13. 3774064 8662480977 9200000001 (Dario Alpern, k=858123)
  14. 4056851 5515345975 3779200001 (Dario Alpern, k=450401)
  15. 4123168 6041600000 0000000001 (Phil Carmody, k=3)
  16. 4365752 3200000000 0000000001 (Dario Alpern, k=426343)
  17. 5859375 0000000000 0000000001 (Phil Carmody, k=3)
  18. 5912402 8365527958 0754739201 (Phil Carmody, k=313)
  19. 6000000 0000000000 0000000001 (Phil Carmody, k=3)
  20. 6088116 1420800000 0000000001 (Phil Carmody, k=567)
  21. 6403679 6875000000 0000000001 (Dario Alpern, k=819671)
  22. 6548594 1461668908 2368000001 (Phil Carmody, k=71)
  23. 7205759 4037927936 0000000001 (Phil Carmody, k=1)
  24. 7383317 2172800000 0000000001 (Dario Alpern, k=5501)
  25. 7684230 8044433593 7500000001 (Dario Alpern, k=3223)
  26. 8140305 2032000000 0000000001 (Phil Carmody, k=1213)
  27. 8286623 3143617126 4000000001 (Phil Carmody, k=23)