Known 137-digit prime factors of googolduplex − 1

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  3. Known 137-digit prime factors of googolduplex − 1

This is a list of known 137-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. 1060221 3170791764 1434707183 1485798656 2815032970 9477141448 6283503572 4545932656 6400000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=293)
  2. 1093750 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  3. 1300382 0865426621 6914227625 2363106256 9116889883 5125797375 4954923308 2573933608 3841720574 7996462841 4621276764 7794089827 5187788880 0194560001 (Phil Carmody, k=469)
  4. 1817096 8107390172 2637330951 9720011335 8841034017 1829515070 3725497951 5982202834 9480831547 7626784408 9139019063 0401566544 4833836504 0715366401 (Phil Carmody, k=1)
  5. 1844674 4073709551 6160000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 2124794 1008718911 7131816146 0588223804 1401324802 1327760136 9169823151 9265619431 9679488000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  7. 3035420 1441027016 7331165922 9411748291 6287606860 1896800195 5956890217 0379456331 3827840000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 3725853 7059310619 5431310603 1869580121 4083401454 1521263692 1190624305 4754507127 7623541533 3017061917 6229946747 4276341252 0960000000 0000000001 (Phil Carmody, k=591)
  9. 3987683 9873547476 1871142118 0841033728 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  10. 4043786 0957810883 2478478605 3341506023 3722402717 2373447806 8492948138 9967278678 8874745411 7037705145 7762718200 6835937500 0000000000 0000000001 (Phil Carmody, k=591)
  11. 7728176 9605677711 3600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=429)
  12. 8282095 6161486765 4492170703 4732430542 9413307666 0446386619 5029068559 1552000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  13. 9822522 2843688620 4448768000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)