Known 86-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 86-digit prime factors of Googolplex − 10

This is a list of known 86-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. 100675 4312912641 3225267522 0283178399 6312801080 3687299595 0625713721 6912466441 6595979481 (Dario Alpern, k=1460)
  2. 102088 9464096194 2106479698 9392631856 7524752475 2475349613 6988848669 4581727223 6917384333 (Phil Carmody, k=2)
  3. 106348 1228006122 3327108591 6390205898 2590384222 6533225768 9488408626 1310296183 9132258239 (Phil Carmody, k=71)
  4. 106830 1478877723 5830888573 9881553332 0000000000 0000106830 1478877723 5830888573 9881553333 (Phil Carmody, k=2)
  5. 109324 4191100204 5498565996 7378402483 2279017226 7721092097 6470117431 3219548769 9657419711 (Phil Carmody, k=85)
  6. 114714 0009174902 6790789094 7053840990 0635626847 6555202770 7391031453 5893976458 4694633013 (Phil Carmody, k=254)
  7. 115246 9093681483 0525903627 3612023766 9828389537 6775941945 2345142184 2715450563 2863883797 (Phil Carmody, k=2)
  8. 120321 9230442784 9323112716 2378206404 1011964511 8988155810 0242407296 8311148204 3390170917 (Dario Alpern, k=1546)
  9. 122527 4565872727 2727272728 4980018386 0000000000 0000122527 4565872727 2727272728 4980018387 (Phil Carmody, k=1)
  10. 124230 0000000000 0000124230 0000000000 0000124230 0000000000 0000124230 0000000000 0000124231 (Phil Carmody, k=5)
  11. 130021 1608951072 4892751073 7894867162 0000000000 0000130021 1608951072 4892751073 7894867163 (Phil Carmody, k=877)
  12. 136937 5709821782 1782178216 4524064683 9603960396 0396176541 5313782178 2178217820 4128025081 (Phil Carmody, k=60)
  13. 146717 3002979246 7496278977 6785663650 7757809356 9823921225 7294898331 3439419263 0008639329 (Phil Carmody, k=16)
  14. 152436 5044403856 3994838845 1276707893 2225382610 1331905694 1162463851 9720719929 9990899631 (Phil Carmody, k=815)
  15. 153417 1521797317 5554974654 5516290448 2073942546 8176307703 5638823421 8699707110 0595781159 (Phil Carmody, k=29)
  16. 156767 9646056649 9079761148 3156312504 6538456161 3461700606 6184512811 2541304986 9694768667 (Phil Carmody, k=1)
  17. 164022 5542368926 4511959064 4099171059 0658779025 3128734524 6710035596 8696620757 7157217529 (Phil Carmody, k=4)
  18. 164318 4635437699 0482142622 9938738128 0000000000 0000164318 4635437699 0482142622 9938738129 (Phil Carmody, k=8)
  19. 165959 5126883583 2016812470 6129301784 3084295983 6915869975 8211179566 8932516486 9213597769 (Phil Carmody, k=4)
  20. 180797 2477061711 4195386831 4279091580 3142852942 4736297643 2339098003 9624756947 6991251403 (Dario Alpern, k=1219)
  21. 182690 4143080335 0303993908 8725977926 2006888714 6431533179 4181139733 8567470408 2861005317 (Dario Alpern, k=1658)
  22. 189176 0467546297 0666234666 1384336367 1153747353 1153558177 0686201056 0487512686 9769410987 (Phil Carmody, k=61)
  23. 212105 0810469043 7763310888 7951282008 6188461884 6188249779 5377992840 8425150995 8237179877 (Phil Carmody, k=2)
  24. 290587 6166574668 4758465030 1924345895 9755193090 0245097497 5921767758 5003271940 1679538987 (Dario Alpern, k=1027)
  25. 301556 7195507483 1431459958 9837070190 0000000000 0000301556 7195507483 1431459958 9837070191 (Phil Carmody, k=5)
  26. 324585 0482687476 0819612117 7016355801 0682343187 0682018602 0199655710 9862731069 3665987387 (Phil Carmody, k=1)
  27. 357652 2392825417 4006736667 0463130455 7861266867 4398454189 7344989274 9072043400 7113103003 (Phil Carmody, k=17)
  28. 370031 4389981776 5525345499 8750525676 3703000749 6297369281 8092982526 1822344750 2453526427 (Phil Carmody, k=1)
  29. 385132 9132820522 7177732316 4062367083 2864249562 0787793217 5399108119 7778475565 3772678237 (Phil Carmody, k=42)
  30. 392772 8781167608 5367869578 7910341739 7535573382 2464819390 6316740990 7832296196 5445915123 (Dario Alpern, k=2477)
  31. 435930 7922107820 2083905963 6208221237 2405850896 6110594248 6874181323 4146646128 2094044003 (Dario Alpern, k=2881)
  32. 447920 3084604174 5127103188 8929035020 5544554455 4455893464 8629158629 9582548733 4473589477 (Dario Alpern, k=1126)
  33. 507662 0261869663 8456559281 9933977249 6405692981 8951215808 8810621971 7814506893 3288187719 (Phil Carmody, k=1)
  34. 526180 4880936955 6407930115 3061554179 6705370795 2492891902 2711775552 6126140273 4201267203 (Phil Carmody, k=119)
  35. 563213 3821380406 6526095774 7752601533 8612013879 8611450666 4790633473 2085918105 0859412347 (Phil Carmody, k=7)
  36. 568853 4546325500 6330459480 3925381426 4281357186 4280788332 9735031685 7950897706 0355975761 (Phil Carmody, k=120)
  37. 626964 8873090894 8869811762 3561579625 7959300454 2041326510 6832391349 0910511308 1520880081 (Phil Carmody, k=680)
  38. 646733 6638337708 0454779832 8875503718 7633298498 8668508338 9082610193 2118757709 8040663307 (Phil Carmody, k=211)
  39. 763837 4132315465 8942611043 5865822446 5305500825 4508263408 9822831479 0974843866 1409538003 (Phil Carmody, k=309)
  40. 781219 4835357993 8284442013 9837506347 4083824850 5916956368 8919182844 4200617163 3921331199 (Phil Carmody, k=1)
  41. 859436 5345026873 4692933594 6318463127 3939393939 3938534502 8594367065 9246460344 7620930813 (Phil Carmody, k=2)
  42. 873661 5003387462 6461458103 2258699246 6692577193 3308296468 1695964655 9768880909 8951276441 (Phil Carmody, k=20)
  43. 911540 8619223400 7757558426 5214709593 0097635992 9903275547 8716859393 7659922433 5312345587 (Phil Carmody, k=1)
  44. 936545 0880724727 7766778865 0375950106 0000000000 0000936545 0880724727 7766778865 0375950107 (Phil Carmody, k=177)
  45. 943424 5299669033 6722336851 2897955500 2841117209 7159826214 8140786243 3881219641 5739072711 (Dario Alpern, k=2245)
  46. 949196 0857585350 8000069856 3011339877 9502879010 0498070186 0360464360 8497190846 2514218889 (Phil Carmody, k=156)
  47. 978216 4079248633 2415351376 5406289425 7278675520 2722302696 1357924153 5136675856 2684964947 (Phil Carmody, k=851)