Known 413-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 413-digit prime factors of googolduplex − 1

This is a list of known 413-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. 149 7996193728 2882129066 3712713875 1595168451 5130596052 3584084569 1181847201 9465996788 2030906198 0748050621 3946946135 2093569255 4500494279 4828876527 0359129031 0601034868 4812826298 0538712954 2793811349 7189065428 8096549128 8935134074 2798720552 3667441765 7841631871 4594789300 0029752573 2837446458 4340275756 9609802248 9535752238 3045121317 0812588396 3158727875 9525415274 0114248588 4880800606 2114372980 4316535592 0791625976 5625000001 (Phil Carmody, k=741)