# Known 39-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 39-digit prime factors of googolduplex − 1

This is a list of known 39-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

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

1. 102318153 9494544267 6544189453 1250000001 (Phil Carmody, k=9)
2. 108333153 1523659166 7196723200 0000000001 (Dario Alpern, k=367047)
3. 110104003 6899538862 0800000000 0000000001 (Phil Carmody, k=191)
4. 112271496 1186147585 2288000000 0000000001 (Dario Alpern, k=4869)
5. 132129154 5538895208 9502972641 2800000001 (Dario Alpern, k=4371787)
6. 143991767 0400000000 0000000000 0000000001 (Dario Alpern, k=109857)
7. 145615114 9725820840 9335889920 0000000001 (Phil Carmody, k=2409)
8. 193421456 1656488411 8254590392 2184192001 (Dario Alpern, k=1220661)
9. 193428131 1383406679 5298816000 0000000001 (Phil Carmody, k=1)
10. 194808271 0771582189 8456209817 6000000001 (Dario Alpern, k=1289133)
11. 195273265 0930176000 0000000000 0000000001 (Phil Carmody, k=111)
12. 196608000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
13. 201746022 4000000000 0000000000 0000000001 (Phil Carmody, k=481)
14. 221360928 8845146193 9200000000 0000000001 (Phil Carmody, k=3)
15. +349954396040122577928041596214187605761 () (k=273401871906345764006282497042334067)
16. 380295180 0684688204 4901096161 2800000001 (Phil Carmody, k=3)
17. 404999154 9657165550 2537871367 9167488001 (Phil Carmody, k=39)
18. 453977371 2067346544 1100683542 5280000001 (Phil Carmody, k=573)
19. 479650952 5010022400 0000000000 0000000001 (Dario Alpern, k=5453)
20. 525566558 0769280000 0000000000 0000000001 (Phil Carmody, k=239)
21. 562320000 0000000000 0000000000 0000000001 (Dario Alpern, k=7029)
22. 574746238 1222366274 3460249600 0000000001 (Dario Alpern, k=486829)
23. 580284393 4150220038 5896448000 0000000001 (Phil Carmody, k=3)
24. 594975426 7930984497 0703125000 0000000001 (Dario Alpern, k=12777)
25. 768000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
26. 789200240 6400000000 0000000000 0000000001 (Phil Carmody, k=147)
27. 791999427 5896735301 6320000000 0000000001 (Dario Alpern, k=13739)
28. 850705917 3023461586 5843651857 9420528641 (Phil Carmody, k=1)
29. 894836625 0000000000 0000000000 0000000001 (Dario Alpern, k=7158693)
30. 980548975 3489382565 0215148925 7812500001 (Phil Carmody, k=69)