Known 60-digit prime factors of googolduplex − 1

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  3. Known 60-digit prime factors of googolduplex − 1

This is a list of known 60-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. 1455191522 8366851806 6406250000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 1557376144 7398101496 3784655774 2471185745 3617177952 2560000001 (Phil Carmody, k=333)
  3. 1600000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 1831054687 5000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 2381263667 2000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=45419)
  6. 2469937767 0892259317 6422736729 0518303218 5259976294 4000000001 (Phil Carmody, k=169)
  7. 2728484105 3187847137 4511718750 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  8. 2831155200 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  9. 2873429139 1235416094 2190067590 6829719285 1358540942 5408000001 (Phil Carmody, k=3)
  10. 3078632557 7728000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  11. 3377699720 5278720000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  12. 3503995930 2892767485 6243200000 0000000000 0000000000 0000000001 (Phil Carmody, k=371)
  13. 3552713678 8005009293 5562133789 0625000000 0000000000 0000000001 (Phil Carmody, k=1)
  14. 3666400516 5221169590 9500122070 3125000000 0000000000 0000000001 (Phil Carmody, k=129)
  15. 3907248248 9944814926 5036083200 0000000000 0000000000 0000000001 (Phil Carmody, k=101)
  16. 4722366482 8696452136 9600000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  17. 6087548942 9539419848 7040000000 0000000000 0000000000 0000000001 (Dario Alpern, k=6758537)
  18. 6273074729 6034695675 9040000000 0000000000 0000000000 0000000001 (Dario Alpern, k=217641)
  19. 6821210263 2969617843 6279296875 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  20. 6858816458 2501659041 8364443104 6578012160 0000000000 0000000001 (Phil Carmody, k=129)
  21. 7009600759 0220172985 1617004444 7129600000 0000000000 0000000001 (Phil Carmody, k=27)
  22. 7063150405 8837890625 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=237)
  23. 7389644451 9050419330 5969238281 2500000000 0000000000 0000000001 (Phil Carmody, k=13)
  24. 8940696716 3085937500 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  25. 8964573197 2658876385 2959118594 2990705370 9030151367 1875000001 (Dario Alpern, k=21167)