Known 124-digit prime factors of googolduplex − 1

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  3. Known 124-digit prime factors of googolduplex − 1

This is a list of known 124-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. 1056 5939855657 8144407402 5946511241 6137344553 1353354454 0405273437 5000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=327)
  2. 1334 9918974505 6880149688 8566355970 0716266903 2647290798 1216901004 8888873286 1290034376 4351304335 3600000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 1836 7099231598 2423120115 0839409758 8715916649 3245638675 2357424541 0600269678 9801120758 0566406250 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 1899 7139640497 1883116796 1472798785 9882177106 8592066550 3772350987 6298247831 5520000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  5. 2218 1492179660 7836290822 8031842825 0112000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=267)
  6. 2571 1008708143 8444086713 9347745860 1640355247 9005246853 6482201600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 3250 0067811534 6050203196 2778112064 8500330465 3136346757 9467396717 5185680389 4042968750 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  8. 4043 9920000725 9596920005 2263052944 6010455716 6338108587 2165541537 3824000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 5882 3872086016 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=107)
  10. 5910 3009294591 7188184185 6015021542 0707619608 9056981700 0192244010 6368582657 2458159171 2139938232 7373461209 9419854602 2400000001 (Phil Carmody, k=3)
  11. 7972 1212387084 9609375000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=107)
  12. 8655 6902546678 6024030277 8271369438 4878476378 9372596344 3077533319 7595222668 4449587200 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=73)