Known 324-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 324-digit prime factors of googolduplex − 1

This is a list of known 324-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. 3944 7540481262 2988679885 9578703481 0830652036 1574680079 6247311604 2981440021 9530241942 8302621227 2091911809 4065889496 1419395345 1256373877 4802312491 0302369019 1103403125 3903139668 0972687939 1545987569 6042808318 8189280452 3913788053 4003225733 0869893887 2226601570 6982683597 9017842781 5021677815 8210217952 7282714843 7500000000 0000000001 (Phil Carmody, k=7)
2. 4177 6189151367 1505999868 8869056021 2067967310 3107732910 6741284956 9969972842 3912810519 3762519898 9287683677 6406366158 2073188766 0786791477 2303536568 4582413700 7393839537 3350959162 8985906094 1142896556 3536919169 9624025204 6845853328 7048339843 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=731)
3. 9511 3685890143 4519662305 8162785909 0582644800 5546768353 2403626414 5500164310 2332447189 1439650322 3306575370 4316990744 3014619262 8423076978 9287418955 9971711116 6887403918 3739098248 6544199758 7822697823 8672018051 1474609375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=31)