Known 356-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 356-digit prime factors of googolduplex − 1

This is a list of known 356-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. 164458 2879143961 6229983775 5199812296 5202753975 6494871778 1213103191 6870509391 2824963910 5855779013 3011893854 2210151359 2226700590 2631476786 7238889997 4270148884 8695134947 7749317884 4451904296 8750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
2. 201076 4683385948 7961480281 9276237850 3362648273 9197745418 6969051839 9838312334 0148148060 5609330169 1167652734 3909130780 1743899357 9462829964 8625899580 7195503143 0042871998 2427594459 2955056577 9209136962 8906250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
3. 465679 1777606305 2230636818 3652683809 6703188578 4386710157 4903493696 6660658587 4673727473 7538671811 0052781939 1948653342 4721609343 0769788301 2544155874 5591065396 6632929368 4878132902 9296452614 3742641794 1982645948 6206823621 7977370501 2100382965 5400929957 1541546924 8910085298 1209754943 8476562500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=481)