# Known 17-digit prime factors of Googolplex - 1

1. Alpertron
2. Number Theory
3. Known 17-digit prime factors of Googolplex − 1

This is a list of known 17-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 ≤ m ≤ 100.

In the list you can see the prime factors and their corresponding value of k.

1. 1213600 0000000001 (Phil Carmody, k=1517)
2. 1213628 4160000001 (Dario Alpern, k=37037)
3. 1392640 0000000001 (Phil Carmody, k=17)
4. 1511207 7312000001 (Dario Alpern, k=3603)
5. 1525878 9062500001 (Phil Carmody, k=1)
6. 1675264 0000000001 (Phil Carmody, k=409)
7. 2049504 7065600001 (Phil Carmody, k=1527)
8. 2148437 5000000001 (Phil Carmody, k=11)
9. 2271370 1171875001 (Dario Alpern, k=2325883)
10. 2288818 3593750001 (Phil Carmody, k=3)
11. 2473901 1624960001 (Phil Carmody, k=9)
12. 3591897 0880000001 (Dario Alpern, k=6851)
13. 3693750 0000000001 (Phil Carmody, k=591)
14. 3814697 2656250001 (Phil Carmody, k=1)
15. 4096000 0000000001 (Phil Carmody, k=1)
16. 4240800 0000000001 (Dario Alpern, k=5301)
17. 5369863 2812500001 (Dario Alpern, k=274937)
18. 5475069 6901181441 (Dario Alpern, k=318691)
19. 5523456 0000000001 (Phil Carmody, k=2697)
20. 5717460 4644352001 (Phil Carmody, k=13)
21. 5797834 7644256257 (Dario Alpern, k=52731)
22. 6969508 0000000001 (Dario Alpern, k=1742377)
23. 7288320 0000000001 (Phil Carmody, k=2847)
24. 7901173 0205704193 (Dario Alpern, k=287443)
25. 8053063 6800000001 (Phil Carmody, k=3)
26. 8246337 2083200001 (Phil Carmody, k=3)
27. 8300781 2500000001 (Phil Carmody, k=17)
28. 8890582 3027200001 (Phil Carmody, k=207)
29. 9155273 4375000001 (Phil Carmody, k=3)
30. 9534827 3971200001 (Phil Carmody, k=111)