Known 120-digit prime factors of googolduplex − 1

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  3. Known 120-digit prime factors of googolduplex − 1

This is a list of known 120-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. 1055531162 6649600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 1203706215 2420224081 5998621411 5579574086 3135301346 1762202496 1747229099 2736816406 2500000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 1259856417 4750148684 3856128281 9749906443 4255921944 9036338124 3869292132 9275388405 3177674358 9965279002 6240000000 0000000001 (Phil Carmody, k=9)
  4. 1328212688 0063245720 6350877597 2558008263 3114950565 8880000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=71)
  5. 2019483917 3657902218 5402512712 3932747963 4084738790 9889221191 4062500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 2831155200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  7. 2882303761 5171174400 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 2938349099 7672247727 9760655996 5322148286 7593294940 8888816833 4960937500 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=291)
  9. 3055553964 5017291294 0266853261 4067241577 2025904989 0437595421 0674031571 9496450050 5927509606 4000000000 0000000000 0000000001 (Phil Carmody, k=3)
  10. 4633503900 0040690850 2187525167 3151296927 2444024682 0449829101 5625000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=717)
  11. 5516983947 1171998900 9004929774 1113061027 4608398609 6783360000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  12. 6901746346 7905637874 3475586227 7025452451 1089721703 8655516252 4223799296 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  13. 9498569820 2485941558 3980736399 3929941088 5534296033 2751886175 4938149123 9157760000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  14. 9815377829 3661006915 3895008580 5751409785 8573990469 3080459807 6747424784 1164469718 9331054687 5000000000 0000000000 0000000001 (Phil Carmody, k=167)