Known 48-digit prime factors of googolduplex − 1

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  3. Known 48-digit prime factors of googolduplex − 1

This is a list of known 48-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. 10035028 7760979960 7910400000 0000000000 0000000001 (Phil Carmody, k=17)
  2. 10910028 4362284583 0395817756 6528320312 5000000001 (Dario Alpern, k=30709)
  3. 11043434 6598400000 0000000000 0000000000 0000000001 (Phil Carmody, k=2057)
  4. 14260633 6000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=17)
  5. 17106300 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=171063)
  6. 18010779 7280426833 3646515914 1982208000 0000000001 (Phil Carmody, k=111)
  7. 18446744 0737095516 1600000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 19326762 4126747250 5569458007 8125000000 0000000001 (Phil Carmody, k=17)
  9. 20769187 4341393105 1412198531 6880384000 0000000001 (Phil Carmody, k=1)
  10. 23283064 3653869628 9062500000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 24000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  12. 26147972 6759716868 4005737304 6875000000 0000000001 (Phil Carmody, k=23)
  13. 28823037 6151711744 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  14. 29618177 2167984838 5985212583 0861105125 1302400001 (Phil Carmody, k=17)
  15. 30174851 4175415039 0625000000 0000000000 0000000001 (Phil Carmody, k=81)
  16. 30627411 7877760000 0000000000 0000000000 0000000001 (Dario Alpern, k=7131)
  17. 38146972 6562500000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  18. 42653169 8583609016 3200000000 0000000000 0000000001 (Dario Alpern, k=303069)
  19. 57022401 7408000000 0000000000 0000000000 0000000001 (Dario Alpern, k=8497)
  20. 66506909 2065095901 4892578125 0000000000 0000000001 (Dario Alpern, k=57129)
  21. 67584826 6240564043 9828857779 5028686523 4375000001 (Phil Carmody, k=487)
  22. 69815466 0827448348 3928166400 0000000000 0000000001 (Phil Carmody, k=231)
  23. 88691711 4257812500 0000000000 0000000000 0000000001 (Phil Carmody, k=93)
  24. 93917933 2701790159 1589139165 1168026361 8560000001 (Phil Carmody, k=69)
  25. 96160515 6730064577 5160115200 0000000000 0000000001 (Dario Alpern, k=651609)