Known 87-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 87-digit prime factors of Googolplex + 10

This is a list of known 87-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. 1010831 2188336024 2873246900 9844070916 3337762440 6749693861 0067319790 1820959504 4026690641 (Patrick Demichel, k=1069480)
  2. 1030293 0629686604 4821038610 8198660976 0487804878 0486774584 9858118273 5666766267 2289143903 (David Broadhurst, k=9)
  3. 1035371 9001670519 7454045255 7652986428 9884301156 9883265785 0882630637 2430255901 2231314729 (Patrick Demichel, k=737436)
  4. 1036501 3918515383 1104978696 7829310966 6603623174 9163873119 1578859744 0303422043 2223653099 (Patrick Demichel, k=63161)
  5. 1098122 1938163411 2589997292 5352827053 7826367782 2174730339 9764531193 4763629510 3179194837 (Patrick Demichel, k=72086)
  6. 1102296 1093532651 6712393181 9170351705 8623679039 8406091664 4484187282 6000728917 2050698689 (Patrick Demichel, k=49568)
  7. 1112284 8863423860 6713014447 4545186253 8698422012 7143524867 2703524048 4575048999 5228932971 (Patrick Demichel, k=9415)
  8. 1149200 1393244242 5026138054 3057147860 1558881671 8442267528 2952125914 3467256382 4616029533 (Phil Carmody, k=2942)
  9. 1167639 6762591425 1076476812 0365873390 8835111061 3966009990 0366508330 0009123358 6665918481 (Patrick Demichel, k=47160)
  10. 1201195 8770390129 2031383437 3842134677 3608115101 8384770758 6039596193 5915732865 5232732503 (Patrick Demichel, k=2032069)
  11. 1287136 6674863730 2683877750 0402756281 2121212121 2119924984 5446348390 9437334371 1718455841 (Patrick Demichel, k=253040)
  12. 1319301 6617421789 9722437863 9091109153 8648935467 1998657140 5001710153 9278827590 4007652493 (David Broadhurst, k=54)
  13. 1393135 1210975910 1390895497 5460183577 8779542706 8756371705 9855242702 4979223332 8696512169 (Patrick Demichel, k=2519716)
  14. 1417881 0454048436 4612309457 6533037974 4598921262 7550148667 1164172851 5561774822 9524168647 (David Broadhurst, k=27)
  15. 1464531 4376414025 4813488218 5929116785 3121911449 0608941944 4590553557 2695054249 1082109249 (Patrick Demichel, k=239456)
  16. 1481744 9643107479 5125324758 9972630868 0681717574 1477048578 1875263481 0895038233 4772831727 (Patrick Demichel, k=25003)
  17. 1493042 1909256576 7956261510 9540675669 3613941058 6387551983 5523197635 4342320452 3154616729 (Norm Dresner, k=10004)
  18. 1517354 6947223015 8403340399 5484283187 5510680014 7152689888 1901173525 2227613214 2371479401 (Patrick Demichel, k=1753300)
  19. 1709129 6875613661 4148138673 1797350059 3119677585 6353088598 0115921519 4247875074 0007292367 (David Broadhurst, k=1)
  20. 1813776 7796463501 8303518444 7226049673 0559890850 4020049746 2310697873 9705824562 7572466539 (Patrick Demichel, k=2498473)
  21. 1829772 5492327369 0853014795 6884053050 6246822931 3755006841 1739150300 4606191864 3130875983 (Patrick Demichel, k=815029)
  22. 1919431 3908600000 0000000019 1943139086 0000000000 0001919431 3908600000 0000000019 1943139087 (Phil Carmody, k=1537)
  23. 2080578 6522937926 9817331034 9323061679 4257425742 5744654836 0780363669 5559905292 3580487423 (Phil Carmody, k=127)
  24. 2091116 5031300940 5545954630 1126934702 3860164493 6141926622 8891465434 1685790136 4987099197 (David Broadhurst, k=42)
  25. 2145736 1423593870 6467498116 9618627600 2272938208 2306776037 3326050066 6378345460 4870691571 (Patrick Demichel, k=102445)
  26. 2350032 6564504310 9904495712 5098769956 0335594733 9666755298 6900099044 9568900978 5434364691 (Patrick Demichel, k=202005)
  27. 2395726 3745019920 3189646722 3904382470 1197614849 8804780876 4942634770 1992031872 5101997321 (Phil Carmody, k=820)
  28. 2494807 3764058759 5883165387 0547952575 4747172002 5255322804 8511230762 1135993384 5295124579 (Patrick Demichel, k=2432543)
  29. 2613258 0000000000 0002613258 0000000000 0002613258 0000000000 0002613258 0000000000 0002613259 (David Broadhurst, k=1)
  30. 2668457 0144480166 5209834038 0953052625 6091862997 4259853815 8028158914 8490423336 6819665649 (Phil Carmody, k=1336)
  31. 2787435 7542125599 4530146141 8375176989 4948862484 1255984817 5213072574 6849715131 3981599249 (Patrick Demichel, k=5336)
  32. 2798340 8666296940 4927647256 9620357470 0232466649 9770331690 8898763590 4695180606 9852824121 (Patrick Demichel, k=1082020)
  33. 2854158 3117065739 6198315273 1119096910 2772277227 7230576930 5889342967 3426038045 3891374139 (David Broadhurst, k=1)
  34. 2864471 4396312644 0376287384 6070856607 1640691118 8362173352 6037003762 8735596265 7711547727 (David Broadhurst, k=11)
  35. 2966856 9752830092 4086275987 2765628459 6858431415 6855464558 7105601323 2772155428 4092802957 (Phil Carmody, k=1902)
  36. 3008028 0041306478 9352106509 0154906892 0000000000 0003008028 0041306478 9352106509 0154906893 (Patrick Demichel, k=831862)
  37. 3016270 6139164759 5957798288 7956702119 3531002441 6634906293 3024021546 4445730640 2307657641 (Patrick Demichel, k=441380)
  38. 3092639 9514431550 4646487650 3416481000 0329778206 6857221522 9983142553 6093551759 0919184783 (David Broadhurst, k=49)
  39. 3171078 6873992808 7719006371 0395833998 4096437663 2671512703 6187648155 6047320375 7982396619 (Patrick Demichel, k=5801)
  40. 3194826 7830242061 1730757970 7751920363 5936875246 4066319580 3767117307 5793882724 3688795611 (Phil Carmody, k=385)
  41. 3242643 5329851159 6255212193 8754773250 1071235495 1375795797 1052872367 7765784929 4843642437 (Patrick Demichel, k=683626)
  42. 3413048 8329320601 6121242126 7568921293 2486789867 6903228300 0060066245 2564383463 6694342371 (Patrick Demichel, k=159415)
  43. 3437823 9798208468 3386825117 9208098288 4536297501 9144616570 3810388235 1069625467 9559107693 (Patrick Demichel, k=1002374)
  44. 3984691 9122593339 3339333973 2402584565 2673267326 7330717365 1795860666 0666066646 5075851893 (Patrick Demichel, k=404006)
  45. 4511325 6961294549 5113031040 7503827971 6035018356 3969492969 2996312905 9078012684 3538846329 (Patrick Demichel, k=1043276)
  46. 4709571 0263249284 6196059314 2926676670 4443434390 6326487073 7070704240 6333913088 5828705761 (Patrick Demichel, k=98960)
  47. 4799794 5587648084 8881700967 0938392407 5841584158 4163215636 1429232243 3040116808 6779976567 (David Broadhurst, k=1)
  48. 4850376 1078785278 3691133972 1399122047 4867678843 1620923883 1567502041 0328920928 2162543059 (Patrick Demichel, k=975283)
  49. 4896465 8308535803 3324005695 1184152717 9743672504 0261223961 8052208307 3580333191 0927825223 (Patrick Demichel, k=102437)
  50. 4921270 7682112356 1769706340 8862957796 0975609756 0970688485 3293497399 9205903415 2112651961 (David Broadhurst, k=20)
  51. 5054507 9355900622 1857451041 6962050471 9999999999 9994945492 0644099377 8142548958 3037949529 (David Broadhurst, k=36)
  52. 5139746 8394913189 1350777607 5138893538 4355778746 4350638999 5960865557 3005001138 9216885209 (David Broadhurst, k=4)
  53. 5386753 0855643469 0712113444 9772048894 5855815869 3468722523 5079364639 4367618480 5966958423 (Patrick Demichel, k=92227)
  54. 5608873 7373620516 7783240296 1068449088 8765065627 1240543246 6138686143 9018174668 9833514717 (Patrick Demichel, k=28786)
  55. 5793277 2310639689 7347039013 4116162796 1316012425 8689780851 3626652115 6031026587 5432175223 (David Broadhurst, k=9)
  56. 6058282 1359403820 6069935182 6737967672 1303019326 8217003230 5384809209 5862747047 9413299771 (Patrick Demichel, k=88665)
  57. 6157455 3404981075 6512862749 4856315125 4620427816 5385729638 8025408892 1892434932 9476742943 (Patrick Demichel, k=7629)
  58. 6273523 7252024595 7540424658 4892797116 0000000000 0006273523 7252024595 7540424658 4892797117 (Patrick Demichel, k=1734926)
  59. 6321224 7649869530 7298938493 0376775524 9059587687 0946733537 6709457217 8239350805 9436363213 (Patrick Demichel, k=121082)
  60. 6743130 0029074859 8528873476 8925322959 3664261088 6342482041 3693335948 4864612388 2589584049 (Patrick Demichel, k=159576)
  61. 6827257 9292485299 5447462486 4333318247 0263169209 7187793753 1079090059 4200782187 0495058197 (David Broadhurst, k=2)
  62. 6832308 5430340997 7010350489 8568132753 4248494965 2488674608 8977516517 3493124555 0740123169 (Patrick Demichel, k=463856)
  63. 6972438 0167729724 6817169455 3527437902 4617567029 4944487686 6881102148 4284759078 8264969659 (David Broadhurst, k=11)
  64. 7005315 5106559288 5047478685 0548922968 0449513586 0442508270 5342954297 5402034900 9900590619 (Patrick Demichel, k=72571)
  65. 7765419 5814524960 4004433350 1826706257 2329850324 7677915094 8144375285 1674583025 4156556583 (Patrick Demichel, k=101737)
  66. 8116688 5552507519 8705257021 1346895911 0971527340 1206532403 3237849431 5227397499 0410582853 (Patrick Demichel, k=65122)
  67. 8351789 2387797351 6667857277 3056521229 6403023872 3605327916 8790821224 0264833404 9459545103 (David Broadhurst, k=9)
  68. 8458943 2863555533 8400530171 5163295939 5865976841 5857517898 3002421307 7465446670 0702680903 (Phil Carmody, k=431)
  69. 8634236 7033572443 6114533432 0532466707 9999999999 9991365763 2966427556 3885466567 9467533293 (Patrick Demichel, k=6514)
  70. 8733655 3532558614 4646938223 5672860301 9604817960 0639186323 0667866915 7866199729 7360838277 (Phil Carmody, k=5042)
  71. 9278476 9774034425 8488912129 5188656863 2055029351 4515870396 3874620423 6115918018 7463982051 (Phil Carmody, k=175)
  72. 9350435 5806374900 9609864469 5861244715 2384595656 1346656245 3126994916 0904076154 4284175841 (Patrick Demichel, k=389840)

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.