Known 114-digit prime factors of googolduplex − 1

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  3. Known 114-digit prime factors of googolduplex − 1

This is a list of known 114-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. 1072 0238370816 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
  2. 1157 9208923731 6195423570 9850086879 0785326998 4665640564 0394575840 0791312963 9936000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 1721 9155529623 3521675107 8911946648 9421171858 7417786258 0335085507 2437752824 0438550710 6781005859 3750000000 0000000001 (Phil Carmody, k=3)
  4. 2019 4839173657 9022185402 5127123932 7479634084 7387909889 2211914062 5000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 2113 7591004303 0272371358 6152286469 2874773029 3801520049 8561864714 0345785784 2627689220 3203134275 0792155136 0000000001 (Phil Carmody, k=151)
  6. 2580 1071224872 9642231491 0344999986 0478844465 8311612280 1662563356 6844822537 8816753664 0000000000 0000000000 0000000001 (Phil Carmody, k=17)
  7. 3182 8687130226 3450979444 6388139653 3766429193 6510302539 1618969452 1162207808 8021360341 1558400000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 3392 3463643744 9791279993 1201426403 5503887690 8200118839 9593483906 4818299699 2000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 3885 7805861880 4789148271 0838317871 0937500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  10. 4194 3040000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 4793 7253704453 6157170808 6251309408 3044714587 4096128000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  12. 5916 6840895009 2092823421 0126089659 3574494915 2692792817 2753305253 6675486404 1237432356 3604980814 3155200000 0000000001 (Phil Carmody, k=277)
  13. 7494 0054162198 0664785951 3759613037 1093750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  14. 9543 8011051069 2079467713 9780012948 6550937370 1736334336 4189668056 9022149820 4160000000 0000000000 0000000000 0000000001 (Phil Carmody, k=211)