Known 246-digit prime factors of googolduplex − 1

  1. Alpertron
  2. Number Theory
  3. Known 246-digit prime factors of googolduplex − 1

This is a list of known 246-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. 118599 7268613433 8627392145 8076787713 8367370655 5164570993 8374834032 4666232734 0979541281 6722917557 6691269606 4093859153 2855793694 9013084221 1951122594 2983280445 8193606933 4915373474 3595123291 0156250000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  2. 123412 8417990904 5316162268 8691801287 8737051899 2251848975 1145676800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 235328 4589048524 7962264745 1299375355 4226820694 7097455264 5795019323 3159552619 3268597126 0070800781 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  4. 249289 9025346501 7652439466 9589146809 9948351627 4411267322 8320853607 1576887163 3713333586 4345673770 7632015757 2824354185 3205746808 3669356302 5678319411 2161783300 3097280118 6710236355 8618138839 0514257480 3903698921 2036132812 5000000000 0000000000 0000000001 (Phil Carmody, k=13)
  5. 252706 8160000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=241)
  6. 481311 3378970726 7891192370 4159556484 2331523161 7452777045 0789488175 1407691949 2418802907 0732413629 4125615153 8466090400 4476833506 4873099327 0874023437 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=99)
  7. 582317 0586240316 3147178067 5535394015 6441606225 9200000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=51)
  8. 613907 6427730538 7778048000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)