Known 19-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 19-digit prime factors of Googolplex − 1

This is a list of known 19-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. 100774130 4832000001 (Dario Alpern, k=961057)
  2. 104857600 0000000001 (Phil Carmody, k=1)
  3. 122070352 5273600001 (Dario Alpern, k=181899)
  4. 124600000 0000000001 (Phil Carmody, k=623)
  5. 133700613 9375616001 (Phil Carmody, k=19)
  6. 145956250 0000000001 (Dario Alpern, k=23353)
  7. 170106880 0000000001 (Dario Alpern, k=4153)
  8. 171523813 9330560001 (Phil Carmody, k=39)
  9. 206158430 2080000001 (Phil Carmody, k=3)
  10. 242155624 8576000001 (Dario Alpern, k=9021)
  11. 272178649 9023437501 (Phil Carmody, k=1427)
  12. 281250000 0000000001 (Phil Carmody, k=9)
  13. 290625000 0000000001 (Phil Carmody, k=93)
  14. 337769972 0527872001 (Phil Carmody, k=3)
  15. 390625000 0000000001 (Phil Carmody, k=1)
  16. 393511500 0000000001 (Dario Alpern, k=787023)
  17. 484863281 2500000001 (Phil Carmody, k=993)
  18. 515396075 5200000001 (Phil Carmody, k=3)
  19. 524390400 0000000001 (Dario Alpern, k=5121)
  20. 545259520 0000000001 (Phil Carmody, k=13)
  21. 766575000 0000000001 (Dario Alpern, k=30663)
  22. 789349662 7200000001 (Dario Alpern, k=301113)
  23. 805306368 0000000001 (Phil Carmody, k=3)
  24. 814000000 0000000001 (Phil Carmody, k=407)
  25. 858306884 7656250001 (Phil Carmody, k=9)
  26. 862017116 1763840001 (Phil Carmody, k=49)
  27. 905164357 6320000001 (Phil Carmody, k=843)
  28. 933149871 8261718751 (Dario Alpern, k=6115491)
  29. 943718400 0000000001 (Phil Carmody, k=9)
  30. 963905625 0000000001 (Dario Alpern, k=1542249)