Known 341-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 341-digit prime factors of googolduplex − 1

This is a list of known 341-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. 3 2500084734 6057899482 7143628398 8853701227 1202945989 2236356002 2243338455 0697895398 0521355024 4939545109 5494331112 5419551310 2019653617 0317485586 1320385527 5616006490 1708358580 3133401699 2509540498 5771170830 1094894742 3097224404 7457646616 4778051180 5985408763 6181829701 3428491482 0455014705 6579589843 7500000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)