Known 63-digit prime factors of Googolplex - 1

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  2. Number Theory
  3. Known 63-digit prime factors of Googolplex − 1

This is a list of known 63-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 ≤ n ≤ 100.

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

  1. 110 1562500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=141)
  2. 144 2559255642 1120000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  3. 165 1906269570 6624000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=939)
  4. 169 1287626441 6065730245 0090355705 4698467254 6386718750 0000000001 (Dario Alpern, k=24959)
  5. 178 6710123114 5397777222 4277487111 9763702154 1595458984 3750000001 (Phil Carmody, k=27)
  6. 181 1981201171 8750000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=19)
  7. 210 9885599566 0414919257 1640014648 4375000000 0000000000 0000000001 (Dario Alpern, k=14847)
  8. 257 3176683094 4065945600 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3571)
  9. 275 8493826980 3973569413 1200000000 0000000000 0000000000 0000000001 (Dario Alpern, k=598153)
  10. 284 3433355651 0326323704 6737899049 7309132479 1312217712 4023437501 (Phil Carmody, k=11)
  11. 358 7722778320 3125000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1881)
  12. 405 8744094720 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=189)
  13. 439 5469530726 4000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5117)
  14. 710 4245014488 6970520019 5312500000 0000000000 0000000000 0000000001 (Phil Carmody, k=2441)