Known 338-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 338-digit prime factors of googolduplex − 1

This is a list of known 338-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. 16227776 9092574685 6257634176 9270922870 9830959070 6533563573 2045882764 4183629183 7844561324 0361914036 9142214827 7122000507 0743341857 3089056735 6254905462 2650146484 3750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)