Known 93-digit prime factors of Googolplex + 10

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  2. Number Theory
  3. Known 93-digit prime factors of Googolplex + 10

This is a list of known 93-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. 104 6025421284 4709800000 0010460254 2128447098 0000000104 6025421284 4709800000 0010460254 2128447099 (Patrick Demichel, k=6989)
  2. 105 6105743750 6294820822 7420484786 4860557874 5348771639 0756972217 1643592356 2071713253 0209329409 (Phil Carmody, k=128)
  3. 120 6969782387 0286080968 2689041421 8366148843 3882832007 1534563685 0449340801 0157934132 3086404401 (Patrick Demichel, k=1123800)
  4. 132 7967538434 2948207304 1114948792 8605577822 0397817318 7569721248 3346024490 0717131606 9003395009 (Patrick Demichel, k=6368)
  5. 136 5740795177 3599211998 9977552181 8637506556 8534312477 7206482836 2133524340 1443239840 7171818899 (Phil Carmody, k=1169)
  6. 137 8751365859 2204759218 6524976535 6484829266 2222222084 3470856363 0017463003 5697245686 5737392957 (Norm Dresner, k=12178)
  7. 148 0297431308 0164411056 4059255228 3034194373 8217821930 2079609525 8382232838 5841433446 1252016157 (Phil Carmody, k=19498)
  8. 149 4114957849 1006031879 6834862185 5067850306 5346534802 8768423195 6352566533 1488327532 0414384961 (Phil Carmody, k=160)
  9. 149 5198089305 4512533943 8321286291 4395841978 2869170379 6324526469 5583397989 3554976246 6815934823 (Patrick Demichel, k=1602787)
  10. 154 5102780297 1529367941 0623083086 7422083234 7401738289 7701042161 8931106076 3221344951 4823821371 (Patrick Demichel, k=51365)
  11. 179 4109642528 0920117981 1114351268 3791950396 5454545275 1344902926 4534427473 4340194186 1662595059 (David Broadhurst, k=21)
  12. 202 9632498437 9583632005 1945807601 2116038996 8910891292 0721607348 8494523094 3034916512 1026930087 (Patrick Demichel, k=58901)
  13. 214 6060605846 0000000214 6060605846 0000000214 6060605846 0000000214 6060605846 0000000214 6060605847 (David Broadhurst, k=1)
  14. 307 9537048420 9274619801 9832775568 5040112548 1782178525 7754870203 1056798019 8050597350 6822290767 (Patrick Demichel, k=230907)
  15. 316 4707140523 8635750971 6760961306 6340226578 9455473042 9916315640 1406143583 0574984927 9276173841 (Patrick Demichel, k=84280)
  16. 326 0240872217 0355845800 8102283880 6424749359 2649762494 7591110048 3005607969 5452521711 9074511529 (John Gamble, k=15788)
  17. 379 5933213099 6786181803 7405811205 7175953434 4276228040 0613931654 6374508767 3085556656 1681948293 (Patrick Demichel, k=2805182)
  18. 490 0005424165 1997973082 1010877168 7820925897 9999999509 9994575834 8002026917 8989122831 2179074103 (Phil Carmody, k=609)
  19. 536 2965569808 0000000536 2965569808 0000000536 2965569808 0000000536 2965569808 0000000536 2965569809 (Patrick Demichel, k=24136)
  20. 546 7564988571 4394246268 6513855540 7326873719 5284552298 7719564274 0890306576 8770697304 7957679127 (Patrick Demichel, k=1418651)
  21. 582 4875547898 1752988630 2963197300 5657371100 4158416424 0717132056 5911404471 8804781458 9815786943 (Phil Carmody, k=1819)
  22. 626 6082517498 7843131356 5461895545 7386067414 1825017623 5742500751 3981886893 6363122704 4438950837 (Phil Carmody, k=19018)
  23. 975 5141557103 0136607588 0661256172 5048506222 0000000975 5141557103 0136607588 0661256172 5048506223 (David Broadhurst, k=1)

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.