Known 118-digit prime factors of googolduplex − 1

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  3. Known 118-digit prime factors of googolduplex − 1

This is a list of known 118-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. 10343026 6265535507 9322324802 6287698623 8334315584 9717975033 6427018614 5019650180 1778549624 4891907290 3557117398 4745553921 (Phil Carmody, k=21)
  2. 10999845 9232073077 2356821352 4955832519 1384106914 5456640000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=147)
  3. 12369127 9441118240 3564453125 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=17)
  4. 13077064 3223893314 4225009023 0151656492 8737101913 8248584567 9184421896 9345092773 4375000000 0000000000 0000000000 0000000001 (Phil Carmody, k=679)
  5. 13349918 9745056880 1496888566 3559700716 2669032647 2907981216 9010048888 8732861290 0343764351 3043353600 0000000000 0000000001 (Phil Carmody, k=1)
  6. 17105694 1445900521 3529943338 9769484024 4172600326 7231166695 6399949826 5513023176 3429549118 8822779804 4681549072 2656250001 (Phil Carmody, k=1)
  7. 20344102 7916461686 2139529287 1410659633 6105809982 2592000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=87)
  8. 32879687 4434197001 0132073938 9440000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=83)
  9. 39772537 5821606974 7195906306 8672000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=251)
  10. 48428773 8800048828 1250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)
  11. 57421875 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=147)
  12. 70152078 5918833400 7377687197 0381584943 4847620628 4800000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  13. 80933883 7829407335 9074886933 5330685592 3681010424 2004636127 4623421388 7942971570 8334071379 7825331200 0000000000 0000000001 (Phil Carmody, k=97)
  14. 92444637 3305873209 4668694124 4076511289 8288791143 3863337151 7062187194 8242187500 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)