Known 38-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 38-digit prime factors of Googolplex − 1

This is a list of known 38-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. 10919620 7631612196 5646743774 4140625001 (Phil Carmody, k=1921)
  2. 11309036 8000000000 0000000000 0000000001 (Dario Alpern, k=1767037)
  3. 12897484 8000000000 0000000000 0000000001 (Phil Carmody, k=123)
  4. 12912720 8515966861 3120000000 0000000001 (Phil Carmody, k=7)
  5. 14111544 5477376000 0000000000 0000000001 (Dario Alpern, k=4107)
  6. 14114379 8828125000 0000000000 0000000001 (Phil Carmody, k=37)
  7. 15258789 0625000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 16000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  9. 17146912 6992996817 7093017600 0000000001 (Dario Alpern, k=3631)
  10. 17592186 0444160000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 20208156 6720000000 0000000000 0000000001 (Phil Carmody, k=2409)
  12. 20449161 5295410156 2500000000 0000000001 (Dario Alpern, k=8577)
  13. 20738965 5040000000 0000000000 0000000001 (Dario Alpern, k=632903)
  14. 29791593 0100325416 9600000000 0000000001 (Dario Alpern, k=105841)
  15. 30450122 7520000000 0000000000 0000000001 (Dario Alpern, k=58079)
  16. 34652347 4619788270 0648415232 0000000001 (Dario Alpern, k=22931)
  17. 38947910 0704193115 2343750000 0000000001 (Phil Carmody, k=2091)
  18. 40660670 1395968000 0000000000 0000000001 (Dario Alpern, k=189341)
  19. 44544000 0000000000 0000000000 0000000001 (Phil Carmody, k=87)
  20. 45035996 2737049600 0000000000 0000000001 (Phil Carmody, k=1)
  21. 45409621 3450506050 9173971513 5078400001 (Dario Alpern, k=11463)
  22. 49965735 8656365186 5547845192 9088000001 (Dario Alpern, k=20181)
  23. 50440315 8265495552 0000000000 0000000001 (Phil Carmody, k=7)
  24. 56878924 3698120117 1875000000 0000000001 (Dario Alpern, k=95427)
  25. 66750000 0000000000 0000000000 0000000001 (Phil Carmody, k=267)
  26. 74519007 6563217688 9332080930 9798400001 (Dario Alpern, k=2407839)
  27. 76510103 1017432841 8310553600 0000000001 (Dario Alpern, k=4147621)
  28. 86469112 8455135232 0000000000 0000000001 (Phil Carmody, k=3)
  29. 90972900 3906250000 0000000000 0000000001 (Phil Carmody, k=2981)
  30. 91981876 5640163199 0075359232 0000000001 (Dario Alpern, k=121737)
  31. 93061120 0000000000 0000000000 0000000001 (Phil Carmody, k=71)