Known 47-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 47-digit prime factors of Googolplex − 1

This is a list of known 47-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. 1031181 3253796745 7075200000 0000000000 0000000001 (Dario Alpern, k=915873)
  2. 1141293 0696314880 0000000000 0000000000 0000000001 (Phil Carmody, k=519)
  3. 1645626 6601179996 1584271360 0000000000 0000000001 (Dario Alpern, k=13939)
  4. 2266735 9117774297 0257408000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 2726301 3180345296 8597412109 3750000000 0000000001 (Dario Alpern, k=3747)
  6. 2861022 9492187500 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 3661183 6765647791 8521647431 6800000000 0000000001 (Dario Alpern, k=3876429)
  8. 5684341 8860808014 8696899414 0625000000 0000000001 (Phil Carmody, k=1)
  9. 6188927 0775808000 0000000000 0000000000 0000000001 (Dario Alpern, k=461111)
  10. 6866455 0781250000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  11. 9792525 4348800000 0000000000 0000000000 0000000001 (Phil Carmody, k=57)
  12. 9965823 7218136491 7196333408 3557128906 2500000001 (Dario Alpern, k=280513)