Known 119-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 119-digit prime factors of googolduplex − 1

This is a list of known 119-digit prime factors of googolduplex − 1, i.e., 10^{10^(10^100)} − 1.

These numbers have the form 1 + 2k × 2^m × 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. 138950507 0847794345 0828518201 0425489423 9239815987 6867684734 9100809495 7555679232 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
2. 140912554 9664299936 7336883580 7360221642 5409529344 9919224243 7458291932 5415068765 0660782193 9903086122 1819160985 6000000001 (Phil Carmody, k=3)
3. 147639423 9228533048 9514390033 0439442161 3389365852 9183945873 9515932671 8274459578 7481758713 9449056133 1200000000 0000000001 (Phil Carmody, k=27)
4. 201948391 7365790221 8540251271 2393274796 3408473879 0988922119 1406250000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
5. 281682104 5755143988 4777942586 0190208000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=217)
6. 299575123 7570431182 4384000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=203)
7. 440810381 5583578154 8827620145 8342129181 9995837895 3282056578 1889854406 4722955226 8981933593 7500000000 0000000000 0000000001 (Phil Carmody, k=3)
8. 512800000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=641)
9. 873967564 9849232286 2148284912 1093750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=123)