Known 123-digit prime factors of googolduplex − 1

  1. Alpertron
  2. Number Theory
  3. Known 123-digit prime factors of googolduplex − 1

This is a list of known 123-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

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

  1. 136 9791913922 2502686470 2493941513 4462892788 4010538374 5770549296 4732204303 5059043088 1863035494 9164029676 4671802520 7519531251 (Phil Carmody, k=41)
  2. 139 4372337049 1701017874 7016978748 3620412645 5121944229 2822142876 1586345036 9896021510 5498965035 2196812800 0000000000 0000000001 (Phil Carmody, k=51)
  3. 140 7999266842 3967828287 4965982856 2184918774 9537018951 3643970027 8593748354 3964183313 1396426629 1200000000 0000000000 0000000001 (Phil Carmody, k=27)
  4. 153 8278765180 9730205528 7070230143 3147862752 5484625948 5930204391 4794921875 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
  5. 154 4949169028 1545830741 0703155200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
  6. 179 5893211952 2135058886 8792244176 8574553209 9088089088 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 190 6546502743 2570198510 4162088550 4000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=47)
  8. 429 6814813752 8545795188 3340818587 2077788441 6763494400 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=147)
  9. 640 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 696 3412720980 2640463075 7376000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  11. 724 6833664130 0919768064 9365539087 6725073664 4207789058 8292065043 4989260800 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)