Known 194-digit prime factors of googolduplex − 1

  1. Alpertron
  2. Number Theory
  3. Known 194-digit prime factors of googolduplex − 1

This is a list of known 194-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. 1147 9437019748 9014450071 9274631099 2947447905 8278524172 0223390338 1625168549 3625700473 7854003906 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 1846 9690404559 9121307558 0004694231 8971131127 7830306781 2560076253 3240182080 3893174741 0043730697 7304206628 1068704563 2000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 1930 2087836314 0433487950 5247636357 4229514742 9917269061 2715520000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=123)
  4. 1941 4962854109 7091735648 5689738836 4367713590 1370830737 4199551394 3053135728 1305149253 8249931385 5078071355 8197021484 3750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=227)
  5. 2802 5969286496 3414184745 9166579832 2625605238 8375303154 3514136567 7795821653 7172120297 3276376724 2431640625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 3915 1826807991 1471602617 6465553928 5334206985 5484137992 8655181873 2818339467 5849173633 3737676112 3209689685 6091916561 1267089843 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 4810 6641617115 2234133156 1337747587 4651391477 5848147504 9502309285 1953068775 2109596532 2711243161 6000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=369)
  8. 7389 6792973255 4027155477 5740588305 0861290694 1894221876 2258530263 4770220453 8355280764 8982233425 7286347681 2668941796 6860303307 9566523362 7481788915 1033016320 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=903)
  9. 8689 7959090752 0816898857 2476943192 0612439146 3674783153 6922603845 5963134765 6250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=141)
  10. 8693 4519156736 4387280875 4519252280 1094552299 5021357266 1999310294 3380812658 4913131014 9950193882 5197754757 9434172500 2716469647 4235583423 2512279413 6404991149 9023437500 0000000000 0000000000 0000000001 (Phil Carmody, k=3)