Known 209-digit prime factors of googolduplex − 1

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  3. Known 209-digit prime factors of googolduplex − 1

This is a list of known 209-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 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. 128105325 1571007144 5931832114 0260799179 8292898211 3980812461 2647605587 6745299863 8398624117 2688300828 4300843944 3310441386 0785473537 0433331200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=141)
  2. 129246970 7114105741 9865760813 5931695869 6581423282 6232910156 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 151340234 1470802436 5976279499 5310942178 2682897226 6370334976 3374660097 4369300729 4496055692 4343109130 8593750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  4. 357296485 2669853866 3654333780 3356622028 8000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  5. 415431088 8769911952 0195434929 3335625497 1672552208 7259227474 0374598769 1100907104 8820769895 3264999345 0040699589 4323212981 1029551547 1079852432 0125579833 9843750000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  6. 651760845 6422838678 2212624214 5717655132 6606525035 5061077600 7621264285 9126449144 1703128720 6902674252 0982413035 8999848242 4585723873 6437234770 3662512879 9851580652 1027116104 9604415893 5546875000 0000000000 0000000001 (Phil Carmody, k=483)