Known 88-digit prime factors of googolduplex − 1

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  3. Known 88-digit prime factors of googolduplex − 1

This is a list of known 88-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. 14551915 2283668518 0664062500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 15021502 9716491699 2187500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=252019)
  3. 15441894 5312500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=253)
  4. 16653345 3693773481 0635447502 1362304687 5000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 17074238 3105776969 1237808316 5441084140 4117788588 5669501100 2257507470 8384441864 0281600001 (Phil Carmody, k=9)
  6. 18446744 0737095516 1600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 19672574 3376167549 1897634449 2149099724 8000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=37)
  8. 19981523 1730175719 7545577115 4318620929 8328046002 3465252561 4365004003 0479431152 3437500001 (Phil Carmody, k=83)
  9. 24519928 6538542217 3373355243 4404946937 8998259549 3763481600 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 24576000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  11. 25646705 6274414062 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=672313)
  12. 26000054 2492276840 1625570222 4896518800 2643722509 0774063573 9173740148 5443115234 3750000001 (Phil Carmody, k=27)
  13. 33703774 0267766274 2847961399 5236228074 4167788437 6929341669 8928922414 7796630859 3750000001 (Phil Carmody, k=7)
  14. 47994035 4125574231 1477661132 8125000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5277)
  15. 50708877 0973496139 0495300292 9687500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=11151)
  16. 71474085 8880000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=68163)
  17. 80382590 0531996605 0120266579 9395566081 0762898636 8000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  18. 98415020 1581877520 9116047286 6089785977 2969942238 0633677676 0872453451 1566162109 3750000001 (Phil Carmody, k=511)