Known 403-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 403-digit prime factors of googolduplex − 1

This is a list of known 403-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. 455 2209918945 4386860906 7707242610 7078476850 3018801311 6105439351 3919847647 1375233794 7764580712 9167360450 1413594090 7965176599 8979550308 4122683631 3771337407 5129077917 9640617562 1185010014 2984884804 0414102504 6695795578 9437388464 7146649902 5371510193 0677943296 8528437898 8660604077 5182090159 0751013205 6453090426 7484722080 8877557422 8107903551 6100361746 7940784990 7875061035 1562500000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)