Known 237-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 237-digit prime factors of googolduplex − 1

This is a list of known 237-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. 1457001 6691692968 0318959643 0117639179 9818051292 8910464093 8859307304 1782139039 0637363200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
2. 1519290 8393215677 9959571876 3129913144 6753545333 7919119460 4764798532 6413169031 6978544529 9029083426 1760148844 2127810607 4737479502 8008520603 1799316406 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
3. 1751623 0804060213 3865466197 9112395164 1003274273 4564471469 6335354862 2388533573 2575185829 7735452651 9775390625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
4. 5181701 1330566667 7523181111 7680239742 6696002186 6176883101 4222082101 1550818974 5623478290 4502083372 9359363283 7636768979 8158197059 3680991680 1619180226 6234844864 8117482662 2009277343 7500000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)