Known 374-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 374-digit prime factors of googolduplex − 1

This is a list of known 374-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. 1928 8357963598 9340968825 8662431213 0955859503 2577283264 2020605844 1420022903 9586760018 8629646082 3960575345 4508920389 0680843417 5742202571 5629411333 6831833896 6316134245 3979912825 0830820703 7078652931 9912414865 7393340399 0509258824 4829229782 1623719755 7347826659 6794128417 9687500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=19)