Known 126-digit prime factors of googolduplex − 1

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  3. Known 126-digit prime factors of googolduplex − 1

This is a list of known 126-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. 104955 8425471769 5732448460 5479736007 7209600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=987)
  2. 166105 9609608687 3847989767 0881038160 5935523543 6631413762 5114968282 3152720021 8614742804 0704000000 0000000000 0000000000 0000000001 (Phil Carmody, k=167)
  3. 183105 4687500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  4. 193428 1311383406 6795298816 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 203287 9073410320 8137639740 0163114070 8923339843 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  6. 302680 4682941604 8731952558 9990621884 3565365794 4532740669 9526749320 1948738601 4588992111 3848686218 2617187500 0000000000 0000000001 (Phil Carmody, k=27)
  7. 393705 1304609421 4638705040 0881171845 7635704975 6077823855 6638709153 7915398558 8766618023 2371864149 6883200000 0000000000 0000000001 (Phil Carmody, k=9)
  8. 415538 0858880000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=387)
  9. 440135 9208948917 4263019058 8264703502 2861702994 7275036028 3613749081 4705021168 0505036800 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
  10. 534782 8022094464 1550907679 4530258423 8288499258 5339044070 6100913267 2335083042 4741322814 8971782136 6599680000 0000000000 0000000001 (Phil Carmody, k=489)
  11. 605214 8151766192 0070060605 5938205908 0460247951 9434926081 9685786689 2142864101 9715499132 3129675032 3042427898 0593111269 3760000001 (Phil Carmody, k=3)
  12. 788860 9052210118 0541172856 5282786229 6732064351 0902300477 0278930664 0625000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  13. 935894 2192353725 4131395801 7820550805 4092094957 3996546847 6855452155 5852965081 7146472028 4050856330 3281582260 8793600000 0000000001 (Phil Carmody, k=797)