Known 339-digit prime factors of googolduplex − 1

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  3. Known 339-digit prime factors of googolduplex − 1

This is a list of known 339-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. 100768141 6135063312 7686448383 4253406943 5563329904 4542984231 8252264554 4325163186 2145053410 4140159296 7641593897 0604014616 5115793917 1123780869 5328857989 9132739910 2358955748 9488842587 8659465174 9838325064 8847277307 3752924153 9445606308 0491332164 5614604166 4095538810 3645134869 2420078230 7841500751 1665635320 2415630221 3668823242 1875000000 0000000001 (Phil Carmody, k=3)
  2. 276989358 5335720734 2276792287 4905003135 4584116016 9536105306 8371392089 1057084335 7788534275 7769371123 0927508503 8000734812 3028576593 3269751297 6090798740 2917181873 4957741692 4458523309 9367979038 3401458842 3020695125 6446851344 3586286760 9358903845 2891921097 4172004230 4091720097 8583423420 7868576049 8046875000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 339587965 4560017137 8159197340 8292191775 5949199302 1768210934 8058372581 2994472316 9180273242 9448535928 7295232164 7363291861 2095602482 7477470751 0914595331 9966793060 3027343750 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  4. 509660419 7017726150 9789297808 9825205769 2434773471 1946433764 5803361443 9545035177 8330903067 4295642866 4906615646 9921352054 6372580931 7216342387 6007069682 1367614647 2322244714 1003682890 2837081430 5458684269 8358079031 1862206473 6198767640 1220383075 3321134819 2476487783 9528764980 0593499094 2478179931 6406250000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=69)
  5. 843375835 4584418579 4788592410 1601520616 7969105894 8060400622 1042008651 5432775807 6738003002 9635965647 1250534466 7442867808 5644052631 5265572943 0205115010 3327614715 4538193717 5989151000 9765625000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)