# Known 46-digit prime factors of Googolplex - 1

1. Alpertron
2. Number Theory
3. Known 46-digit prime factors of Googolplex − 1

This is a list of known 46-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. 104627 6265430713 6307200000 0000000000 0000000001 (Phil Carmody, k=363)
2. 106891 9296000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2087733)
3. 122886 6577148437 5000000000 0000000000 0000000001 (Dario Alpern, k=16107)
4. 145591 8718917814 6581980399 7874259948 7304687501 (Dario Alpern, k=10491)
5. 149011 6119384765 6250000000 0000000000 0000000001 (Phil Carmody, k=1)
6. 155585 3271484375 0000000000 0000000000 0000000001 (Dario Alpern, k=254911)
7. 159598 6224873472 0000000000 0000000000 0000000001 (Dario Alpern, k=743189)
8. 180143 9850948198 4000000000 0000000000 0000000001 (Phil Carmody, k=1)
9. 193119 0490722656 2500000000 0000000000 0000000001 (Phil Carmody, k=81)
10. 200863 0249289706 3737743114 2400000000 0000000001 (Dario Alpern, k=3323)
11. 225157 0113003253 9367675781 2500000000 0000000001 (Dario Alpern, k=483521)
12. 232187 4262831415 6800891944 9600000000 0000000001 (Dario Alpern, k=122919)
13. 241031 5776000000 0000000000 0000000000 0000000001 (Dario Alpern, k=73557)
14. 250583 0980166615 0400000000 0000000000 0000000001 (Dario Alpern, k=3561)
15. 263882 7906662400 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
16. 273808 8369369506 8359375000 0000000000 0000000001 (Phil Carmody, k=147)
17. 286654 4640000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2187)
18. 309960 1599387824 5353698730 4687500000 0000000001 (Dario Alpern, k=213003)
19. 339723 2668844559 8095711928 3200000000 0000000001 (Dario Alpern, k=22481)
20. 350488 1374004814 8070400000 0000000000 0000000001 (Phil Carmody, k=19)
21. 358581 5429687500 0000000000 0000000000 0000000001 (Phil Carmody, k=47)
22. 479731 2000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=37479)
23. 502437 2444773745 4818135900 1600000000 0000000001 (Dario Alpern, k=4255809)
24. 600000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
25. 642342 4000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=50183)
26. 665068 0006714537 7397537231 4453125000 0000000001 (Phil Carmody, k=117)
27. 825366 4418589323 7590789794 9218750000 0000000001 (Phil Carmody, k=363)
28. 868675 5840000000 0000000000 0000000000 0000000001 (Dario Alpern, k=212079)