Known 97-digit prime factors of googolduplex − 1

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  3. Known 97-digit prime factors of googolduplex − 1

This is a list of known 97-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. 1106613 9221191406 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1450461)
  2. 1138282 5540385131 2749187221 1029405609 3607852572 5711300073 3483833831 3892296124 2685440000 0000000001 (Phil Carmody, k=3)
  3. 1154487 2091648000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  4. 1195382 4672641256 4798369971 5346380808 3645320739 7991095135 4149195562 0380672000 0000000000 0000000001 (Phil Carmody, k=433)
  5. 1426106 9252567580 7668379110 6048000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  6. 1792000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  7. 1839362 0848655700 6835937500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=79)
  8. 1942668 8922257290 7091946190 6823518906 6424068390 5213952125 1812409738 9042852052 0849817600 0000000001 (Phil Carmody, k=1)
  9. 2649562 8995839167 7107248096 6786599765 3279919177 2937774658 2031250000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  10. 2675056 4575195312 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=561)
  11. 2685913 6100965009 9506585341 9074830554 7913332702 5920152664 1845703125 0000000000 0000000000 0000000001 (Phil Carmody, k=133)
  12. 3159368 7500567156 0093754083 0510112969 5668528620 1647333762 9329326080 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  13. 3877409 1213423172 2595972824 4077950876 0897442698 4786987304 6875000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 6350661 5213482434 2903699008 0510881256 9160549223 2884741734 4000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=259)
  15. 7146840 4924581591 1088897109 9484479054 8086166381 8359375000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  16. 7270142 1025168447 9867449045 7646157892 6682705059 6475601196 2890625000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  17. 8349161 3622754812 2406005859 3750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=459)