Known 75-digit prime factors of Googolplex - 1

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  2. Number Theory
  3. Known 75-digit prime factors of Googolplex − 1

This is a list of known 75-digit prime factors of googolplex − 1, i.e., 1010^100 − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 100 and 0 ≤ m ≤ 100.

In the list you can see the prime factors and their corresponding value of k.

  1. 12087 7530207508 2436203956 6040039062 5000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4253)
  2. 13913 8714113674 8994973970 6389664206 6538333892 8222656250 0000000000 0000000001 (Dario Alpern, k=82133)
  3. 19200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  4. 28640 3015290360 3021474765 4554230393 8418626785 2783203125 0000000000 0000000001 (Phil Carmody, k=541)
  5. 29258 0044151193 6000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2661)
  6. 35969 3684154826 7520000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=654279)
  7. 37634 8258113168 2991326670 1623797416 6870117187 5000000000 0000000000 0000000001 (Dario Alpern, k=4339)
  8. 42325 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1693)
  9. 46756 2186884373 7871657140 2037516236 3052368164 0625000000 0000000000 0000000001 (Phil Carmody, k=69)
  10. 53782 4630737304 6875000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=11279)
  11. 62172 4893790087 6626372337 3413085937 5000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  12. 69540 6924933195 1141357421 8750000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=11947)
  13. 74614 7020800000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=113853)
  14. 87241 5232000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)