Known 14-digit prime factors of Googolplex - 1

1. Alpertron
2. Number Theory
3. Known 14-digit prime factors of Googolplex − 1

This is a list of known 14-digit prime factors of googolplex − 1, i.e., 10^{10^100} − 1.

These numbers have the form 1 + 2k × 2^m × 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. 1212 3750000001 (Dario Alpern, k=9699)
2. 1346 2517317633 (Dario Alpern, k=12838857)
3. 1381 6406250001 (Dario Alpern, k=3537)
4. +14103673319201 (Dario Alpern) (k=17629591649)
5. 1525 8789062501 (Phil Carmody, k=1)
6. 1623 9820800001 (Phil Carmody, k=1239)
7. 1653 5624089601 (Phil Carmody, k=77)
8. +20248874160001 (Dario Alpern) (k=253110927)
9. 2241 4360576001 (Phil Carmody, k=167)
10. 2257 4752000001 (Dario Alpern, k=705461)
11. 2336 4622090241 (Phil Carmody, k=17)
12. 2409 6000000001 (Phil Carmody, k=753)
13. +26216896777501 (Dario Alpern) (k=10486758711)
14. 2836 4062500001 (Dario Alpern, k=18153)
15. 2944 0000000001 (Phil Carmody, k=23)
16. 3148 5300000001 (Dario Alpern, k=314853)
17. 3222 6562500001 (Phil Carmody, k=33)
18. +37750052632001 (Dario Alpern) (k=4718756579)
19. 3789 0625000001 (Phil Carmody, k=97)
20. 4000 0000000001 (Phil Carmody, k=1)
21. 4294 9672960001 (Phil Carmody, k=1)
22. +42995495312501 (Dario Alpern) (k=27517117)
23. 4427 3437500001 (Dario Alpern, k=5667)
24. 4577 6367187501 (Phil Carmody, k=3)
25. 4617 9488366593 (Phil Carmody, k=21)
26. 4884 3325440001 (Dario Alpern, k=74529)
27. 4915 2000000001 (Phil Carmody, k=3)
28. +50779597795001 (Dario Alpern) (k=10155919559)
29. +54789630784001 (Dario Alpern) (k=856087981)
30. 6220 8000000001 (Phil Carmody, k=243)
31. 6250 0000000001 (Phil Carmody, k=1)
32. 7708 7402343751 (Phil Carmody, k=1263)
33. +78875943472201 () (k=394379717361)
34. 7893 1200000001 (Dario Alpern, k=12333)
35. 7916 2597656251 (Phil Carmody, k=1297)
36. +84941592144001 (Dario Alpern) (k=5308849509)
37. +87770788000001 (Dario Alpern) (k=21942697)