Known 168-digit prime factors of googolduplex − 1

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  3. Known 168-digit prime factors of googolduplex − 1

This is a list of known 168-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. 11410155 6393216575 8306149030 6518617643 6599893096 5531411887 4094761318 7316614269 8484457180 9629470807 2053119800 7351406606 5366412243 4203243017 2366730403 1550884246 8261718751 (Phil Carmody, k=63)
  2. 11977939 3156170339 1391078618 1598241043 2512000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  3. 12173771 1481097473 2014389244 7581746533 6049845689 5991571566 2206137235 7024282021 8524266271 5586661748 0128866191 0803057253 3607482910 1562500000 0000000000 0000000000 0000000001 (Phil Carmody, k=597)
  4. 12731474 8520905380 3917778555 2558613506 5716774604 1210156647 5877808464 8831235208 5441364623 3600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 12980742 1463370690 7132624082 3050240000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 13452465 2575182438 8086780399 9583194860 2905146420 1455140886 7855525341 9943937842 6177427172 6608276367 1875000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 14654936 2940978309 8329570279 0162063337 6794824342 4513388624 3850476001 5054700544 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=81)
  8. 17745086 0423732151 0130185077 8515735701 9931972824 0522608109 1069315933 5763699560 0398745583 6199066493 2998233037 5015298285 9705434610 0736000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  9. 19618178 5005474389 9293221416 6058825837 9236671862 7122080459 8955974457 0751576020 4842081293 4637069702 1484375000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  10. 32446080 6525558915 9412181478 4120522413 5465503410 8187821096 5722491423 7378213820 8329728116 8503862405 5666324389 6450372218 2952984616 7013582438 4000000000 0000000000 0000000001 (Phil Carmody, k=279)
  11. 35352636 9736977860 6192316603 1505577255 4884658632 2144237663 0272000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  12. 37292407 3859249598 6132967077 6724475811 2200786638 0473293604 2950359266 6565899856 6462988765 5762100677 3254099117 8743087804 1099702422 7328000000 0000000000 0000000000 0000000001 (Phil Carmody, k=269)
  13. 39031278 2094781596 2426830083 1317901611 3281250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  14. 44236800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  15. 45452777 3976203351 8182400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=77)
  16. 54307214 5530009199 5750400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=23)
  17. 63676058 7863029853 9166327072 6714159469 1659857441 2127220512 0476428419 3515777587 8906250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=529)
  18. 83225564 1393210154 6069164547 4994433769 5378014784 2915540336 0138505687 5619287040 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=23)