Known 52-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 52-digit prime factors of Googolplex − 1

This is a list of known 52-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. 10 0811892167 4849843839 1834497451 7822265625 0000000001 (Dario Alpern, k=1135041)
  2. 12 1062014579 7314251012 7217974513 7691497802 7343750001 (Dario Alpern, k=5583)
  3. 13 6501032699 2432965198 5317468643 1884765625 0000000001 (Dario Alpern, k=307373)
  4. 15 2043520000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
  5. 18 9174897968 7690734863 2812500000 0000000000 0000000001 (Phil Carmody, k=13)
  6. 19 7702097748 3867625323 9100333303 2131195068 3593750001 (Dario Alpern, k=45587)
  7. 24 2244401831 6083200000 0000000000 0000000000 0000000001 (Phil Carmody, k=1377)
  8. 25 7101495527 3268756480 0000000000 0000000000 0000000001 (Phil Carmody, k=223)
  9. 28 2581895589 8284912109 3750000000 0000000000 0000000001 (Dario Alpern, k=15171)
  10. 40 5273437500 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=83)
  11. 42 9496729600 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  12. 44 3853759765 6250000000 0000000000 0000000000 0000000001 (Dario Alpern, k=72721)
  13. 53 5682580448 5427200000 0000000000 0000000000 0000000001 (Dario Alpern, k=3118083)
  14. 53 6779643944 9600000000 0000000000 0000000000 0000000001 (Dario Alpern, k=99983)
  15. 57 0425344000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=17)
  16. 66 2568960000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1011)
  17. 80 4003906250 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=8233)
  18. 88 5443715538 0584775680 0000000000 0000000000 0000000001 (Phil Carmody, k=3)