Known 81-digit prime factors of Googolplex - 1

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  3. Known 81-digit prime factors of Googolplex − 1

This is a list of known 81-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. 1 0901657789 3990400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1983)
  2. 1 1010048000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  3. 1 1676942336 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=87)
  4. 1 4585690112 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=7121919)
  5. 1 4763946087 8497855959 9975790617 1545585038 9844272285 6998443603 5156250000 0000000001 (Dario Alpern, k=228461)
  6. 1 6952901218 1517915909 5454686223 5474691260 6060504913 3300781250 0000000000 0000000001 (Dario Alpern, k=51237)
  7. 2 2137695312 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=22669)
  8. +269409792871731627664586194662281233853701011108906726055753272681082282441709251 () (k=1077639171486926510658344778649124935414804044435626904223013090724329129766837)
  9. 3 1129600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=19)
  10. 7 0244482230 9189476072 7882385253 9062500000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=617877)