Known 287-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 287-digit prime factors of googolduplex − 1

This is a list of known 287-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. 1030909 6277125225 7615011211 0547117885 0247952576 2488440867 3425314609 2921034915 6032985662 0555647839 7099782085 5002867769 4487765262 9081891909 6958957811 3062882324 9731521475 3657100499 3177780306 7234344780 4450988769 5312500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
2. 3260044 4683776164 5230328294 4719605041 0457112313 3008974824 9741360376 7804746934 2424130623 1322705944 9158034228 7814687601 8676117783 8343783719 2104780115 1871681213 3789062500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
3. 6144000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
4. 6857924 3476936498 9329470128 9832045756 7114599689 3679196729 0755059365 7958154404 2917405268 8131161032 1778950983 2612024416 9393323248 1737035125 0675625376 0460247451 7930841042 5651156605 0735038217 7121569937 6611496518 3078311383 7242126464 8437500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)