Known 286-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 286-digit prime factors of googolduplex − 1

This is a list of known 286-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. 289550 1144075766 2664531605 9757782504 4842213514 4444753402 9235434649 5767169760 9813333207 2077435443 5281419937 5229148323 4511215075 4426475149 4021295396 2361524525 9261735677 4695736021 3855281472 2061157226 5625000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
2. 305625 0471099600 3702479389 4672048047 2130125585 6624521256 6397638428 4287587039 0437696967 7940384727 2776300631 6125019290 1479997853 2760282833 9225293933 3286623991 7510584938 1777176562 2170293566 0395230049 2395773589 4847098514 0397591928 1741369104 5658197253 9424896240 2343750000 0000000000 0000000001 (Phil Carmody, k=147)