Known 94-digit prime factors of Googolplex + 10

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  2. Number Theory
  3. Known 94-digit prime factors of Googolplex + 10

This is a list of known 94-digit prime factors of googolplex + 10, i.e., 1010^100 + 10.

These numbers have the form 1 + 2k ∏i piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 1356 9342472767 4023264979 3645697317 4999717160 8437883021 9095411611 4414619399 4792187061 3438167219 (Patrick Demichel, k=1371103)
  2. 1563 3785722991 7134824611 2479921091 5787093292 3015519500 9229798072 5880696453 0535599972 7228427773 (Phil Carmody, k=214)
  3. 1756 9923083260 2409584404 4229183264 1454085258 2645027880 5550631636 2705564755 0368037608 4617239201 (Patrick Demichel, k=192400)
  4. 1981 7586834508 2652941993 6375193249 1086915464 2374005365 5212831124 5026945377 4001189865 3460918849 (Patrick Demichel, k=445984)
  5. 2125 4680507904 8697694343 5675832441 8991033888 6666664541 1986158761 7968972323 0990834224 7675632779 (Patrick Demichel, k=54113)
  6. 2440 1463933922 5011917771 2056896868 1579367890 3590002797 7873933564 8601918128 8466896510 5169368249 (Patrick Demichel, k=811196)
  7. 2558 1344583996 0000002558 1344583996 0000002558 1344583996 0000002558 1344583996 0000002558 1344583997 (Paul Leyland, k=36122)
  8. 2882 7287218225 8793800000 0288272872 1822587938 0000002882 7287218225 8793800000 0288272872 1822587939 (David Broadhurst, k=1)
  9. 3031 3508116143 4890895980 2784318190 1224244889 2079210952 1428908222 6970103901 0705110269 3303452811 (Patrick Demichel, k=8935)
  10. 3194 8680529723 8441517731 0879228038 3846906130 2970300224 5710232694 1411814760 7908931008 6817203161 (Phil Carmody, k=260)
  11. 3686 4113720290 2357291795 6484061848 5656768031 3685403291 0428320685 6042691400 2798662243 9342167637 (Patrick Demichel, k=928382)
  12. 3812 0920132662 0000003812 0920132662 0000003812 0920132662 0000003812 0920132662 0000003812 0920132663 (Patrick Demichel, k=65789)
  13. 3975 3046074098 3205632582 2121830483 0129384863 4023472731 7551107788 0220234563 0945470925 2419988259 (Patrick Demichel, k=1044001)
  14. 4246 4427684810 0000004246 4427684810 0000004246 4427684810 0000004246 4427684810 0000004246 4427684811 (Patrick Demichel, k=179885)
  15. 4286 4197192961 9295193357 8907151386 0039600406 0000004286 4197192961 9295193357 8907151386 0039600407 (Phil Carmody, k=2667)
  16. 4412 0954623392 3680079681 3190213530 2976687000 0000004412 0954623392 3680079681 3190213530 2976687001 (Paul Leyland, k=39500)
  17. 5570 8319133894 5363370957 0400012518 2320117323 3861391709 4457747755 9224757095 6538626379 6181503463 (Phil Carmody, k=107)
  18. 5648 3972065742 0000005648 3972065742 0000005648 3972065742 0000005648 3972065742 0000005648 3972065743 (Patrick Demichel, k=717821)
  19. 6565 6331858898 0000006565 6331858898 0000006565 6331858898 0000006565 6331858898 0000006565 6331858899 (Patrick Demichel, k=289251)
  20. 6589 5676271675 3530896258 6247144040 2055879203 9999993410 4323728324 6469103741 3752855959 7944120797 (David Broadhurst, k=2)
  21. 7254 7317065916 0000007254 7317065916 0000007254 7317065916 0000007254 7317065916 0000007254 7317065917 (David Broadhurst, k=42)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.