Known 50-digit prime factors of googolduplex − 1

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  3. Known 50-digit prime factors of googolduplex − 1

This is a list of known 50-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. 1030792151 0400000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 1132459717 1128832064 0611069353 2924607725 5680000001 (Phil Carmody, k=13)
  3. 1201629638 6718750000 0000000000 0000000000 0000000001 (Phil Carmody, k=63)
  4. 1278468096 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=156063)
  5. 1307707148 3353405245 7141764096 0000000000 0000000001 (Dario Alpern, k=108171)
  6. 1386492843 9996259078 8701913088 0000000000 0000000001 (Phil Carmody, k=7)
  7. 1656250000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=53)
  8. 1715534882 0599070484 6647598717 4319718400 0000000001 (Phil Carmody, k=413)
  9. 2177807148 2940061661 6559748756 3316553318 4000000001 (Phil Carmody, k=1)
  10. 2250000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  11. 2316070000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=231607)
  12. 2450577994 7503469884 3955993652 3437500000 0000000001 (Dario Alpern, k=2694439)
  13. 2481297817 6000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=47327)
  14. 3043712772 1620760166 4000000000 0000000000 0000000001 (Phil Carmody, k=33)
  15. 3186296736 3646259200 0000000000 0000000000 0000000001 (Phil Carmody, k=283)
  16. 3463262004 6427300282 2984105158 9804032000 0000000001 (Phil Carmody, k=667)
  17. 3554435219 5765862400 0000000000 0000000000 0000000001 (Dario Alpern, k=161637)
  18. 3596023478 9911282859 9754720926 2847900390 6250000001 (Dario Alpern, k=323901)
  19. 3725290298 4619140625 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  20. 3964233398 4375000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1299)
  21. 4064414508 5024868724 1868083200 0000000000 0000000001 (Dario Alpern, k=3442693)
  22. 4976987838 7451171875 0000000000 0000000000 0000000001 (Phil Carmody, k=167)
  23. 5285478400 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1613)
  24. 6164941395 6411937689 9763863552 0000000000 0000000001 (Phil Carmody, k=249)
  25. 6710886400 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  26. 7961920000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=24881)
  27. 8105495441 5016311486 3971713930 3684234619 1406250001 (Phil Carmody, k=1869)
  28. 8132015991 2109375000 0000000000 0000000000 0000000001 (Dario Alpern, k=2664699)