Known 157-digit prime factors of googolduplex − 1

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  3. Known 157-digit prime factors of googolduplex − 1

This is a list of known 157-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. 1084683 7446788912 3244112677 7263831065 8006588482 7490663155 9133529663 0859375000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  2. 1154634 3547598285 1913271175 3809440171 6481650522 0538103751 9556996613 2922129064 4031494565 5245537636 8016004562 3779296875 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  3. 1168756 6686673358 8000331268 3083911291 2406553079 8520744093 2636240282 4679752863 4386070851 5209547731 8134217061 3474287601 4117123639 4188123668 4800000000 0000000001 (Phil Carmody, k=201)
  4. 1179648 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  5. 1485528 0471424563 2987894906 8800000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  6. 1606938 0442589902 7554196209 2341162602 5222029937 8279283530 1376000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 2213609 2888451461 9392000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  8. 3458764 5138205409 2800000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 4856672 2305643226 7729865476 7058797266 6060170976 3034880312 9531024347 2607130130 2124544000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 5192296 8585348276 2853049632 9220096000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 7033939 6505463993 0302490674 5990348800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=867)
  12. 7588550 3602567541 8327914807 3529370729 0719017150 4742000488 9892225542 5948640828 4569600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  13. 7605903 6013693764 0898021923 2256000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)