Known 322-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 322-digit prime factors of googolduplex − 1

This is a list of known 322-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. 13 1566630331 5169298398 7020415984 9837216220 3180519589 7422497048 2553349640 7513025997 1128468462 3210640951 5083376812 1087378136 0472210518 1429379111 1997941611 9107895610 7958219945 4307556152 3437500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)