Known 320-digit prime factors of googolduplex − 1

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3. Known 320-digit prime factors of googolduplex − 1

This is a list of known 320-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. 1381786968 8151111400 6181629804 8063931378 5600583098 0502160379 2555226974 6885059883 2927544120 0555566116 2496875670 3138394617 5519215831 4931114709 8448060432 9291963949 7995376586 9140625000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
2. 1449716663 9707348727 1109515545 6884525816 1183310349 9369969700 4348669317 0205350067 1386087265 6379774592 1568557734 7782800787 3419900964 6410498009 8534422149 4678269493 4952074733 0297577165 6253556329 8297347500 9202957153 3203125000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=189)
3. 1585186010 6246954998 7891565712 0738942077 4840988930 0832078387 0819356385 3626540698 1134478614 5277345448 5616415768 9840366305 2555644401 8888974795 1339614928 6563741043 2100296020 5078125000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=717)
4. 1836709923 1598242312 0115083940 9758871591 6649324563 8675235742 4541060026 9678980112 0758056640 6250000000 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=1)
5. 2365422869 6494651409 3248161460 5498488941 6720435500 0037356250 5715107774 6761665887 5736829984 5984527252 0851722219 9589014053 3447265625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
6. 3294436857 2595385076 0892939102 1880939909 3629319901 5860939930 0945346295 0909280498 7257824230 3265490809 0822400260 7198702377 2047080591 9006144308 6738730509 1123494982 2414819209 3707621097 5646972656 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)