Known 89-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 89-digit prime factors of Googolplex + 10

This is a list of known 89-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. 101627991 2740998996 4081045120 1977771824 7247617185 2854010805 9988616181 6833427934 9225389011 (Patrick Demichel, k=26755)
  2. 103631471 7079801570 2615252111 5267372368 2772277227 7331354243 9852078797 9842974883 8039649597 (Phil Carmody, k=406)
  3. 103785396 3909811688 4043942674 3537040437 4814692443 4710907047 0904880755 0770749769 1277652007 (Patrick Demichel, k=250937)
  4. 105967031 2501329576 5015029586 8746464766 0000000000 0105967031 2501329576 5015029586 8746464767 (David Broadhurst, k=7)
  5. 114635041 9588762689 4307358309 8860879735 4583451190 5074619068 8469480148 3748465778 9797802583 (David Broadhurst, k=49)
  6. 114715306 7447365337 3029835809 8500839810 9563564961 0551150345 7010930298 3466270848 8064404773 (Phil Carmody, k=394)
  7. 127237762 0815828575 7930043928 0196690061 2038652177 3867524371 0838208145 3901241836 3347303771 (Patrick Demichel, k=1556315)
  8. 138154764 6962280161 7415737500 4244188948 6170001156 6031846391 9207720994 8754263656 1925812209 (Patrick Demichel, k=117256)
  9. 146387856 7692051712 9645065083 4376466281 7736777367 7590389511 0044725654 8091712284 3360311087 (David Broadhurst, k=1)
  10. 155041785 5066970599 5063612358 3757009034 8069385972 7914344187 3002415373 3005773614 4312376939 (Paul Leyland, k=39473)
  11. 167640234 8018487510 3766028274 7785402302 2602195915 7565444319 0620683426 1163832359 0387598219 (Patrick Demichel, k=909203)
  12. 168373408 9905205016 2782774518 5538950494 8575246781 1593126627 8480451797 4207527737 4114197277 (Patrick Demichel, k=2644762)
  13. 180140780 2210912797 6768705915 5352811012 8631137585 0831544251 0452040233 1604731938 3967975487 (David Broadhurst, k=7)
  14. 184092965 0874457136 8599736663 5046647156 3317404883 6866688081 4191862020 5282331779 8364052041 (Patrick Demichel, k=497980)
  15. 191531168 4158646068 8433446519 3942797615 4633954436 5557576731 8792600505 3799492082 8576752053 (Patrick Demichel, k=64134)
  16. 200769318 8745682433 1756684440 8688569890 0000000000 0200769318 8745682433 1756684440 8688569891 (David Broadhurst, k=5)
  17. 207396803 8930358198 9060604545 6487064419 8727024025 3738828538 1832215670 3925056973 8303572037 (Patrick Demichel, k=155906)
  18. 239142551 6078228737 9338288809 6839009289 8414578988 8015163552 7729556175 8483794501 3694629557 (Patrick Demichel, k=736502)
  19. 258984695 6105207820 3496120437 4648977436 3120762437 1962268447 3555182749 8245609743 1940219567 (Phil Carmody, k=4441)
  20. 272031450 8785172383 0817127074 9041050454 5640069231 4631962219 4425241614 5177057843 4681119687 (Patrick Demichel, k=1715551)
  21. 298594297 4694443105 1385122443 0991585268 6930693069 3367901228 1625136174 4454429373 7922278339 (David Broadhurst, k=81)
  22. 300835559 9055184337 2105891398 4177374889 0539609448 9761226110 9594793786 1566281949 4716984339 (David Broadhurst, k=1)
  23. 301441465 8162740051 5050996009 4709958424 1045848513 9255592951 9208588565 4005147495 5755806939 (Patrick Demichel, k=7883)
  24. 302675101 5300181613 1504170231 8777108951 5000501630 8658856387 7839659300 9568010292 5280913357 (Phil Carmody, k=266)
  25. 314533798 0033437322 8480725730 9980382309 1441104269 7580753738 7184559377 2203406427 2377056623 (Patrick Demichel, k=551161)
  26. 316699000 3666600673 1657027648 1591764007 1589714244 8726984755 5256314918 0067313403 3181478253 (David Broadhurst, k=2)
  27. 317353514 5190562270 0148754538 0733268824 2772277227 7545076286 7962839497 7376477310 3505546053 (Patrick Demichel, k=48314)
  28. 317622856 1537361772 1360260487 2288854789 4256825798 9397370273 4950539724 0466286427 2804624397 (Phil Carmody, k=342)
  29. 328845320 7502703781 9999067114 0648574898 9530356110 9201510790 2027652328 9531288996 8881781213 (Patrick Demichel, k=20422)
  30. 336740105 1385907503 1728742805 6939559581 4366558866 8652665722 7581720458 9547338927 9640422371 (Phil Carmody, k=1385)
  31. 352673550 2894154783 4553190421 4419982718 5433101803 4187138010 3624838989 7937911948 7851620321 (Phil Carmody, k=18640)
  32. 369449525 4702236597 5287419973 8510338542 0000000000 0369449525 4702236597 5287419973 8510338543 (John Gamble, k=17987)
  33. 375876206 6964860575 7184504410 1744667458 2852198798 7264613498 9212410533 2898718815 9247870401 (Patrick Demichel, k=352800)
  34. 409015155 0141582169 0984221921 0531283584 9201127673 1207887481 9342709842 1783094247 9732411259 (David Broadhurst, k=13)
  35. 435947913 3657805917 5338002731 1171469339 4746253710 5689694202 8404059628 0591749020 5917723051 (Patrick Demichel, k=950425)
  36. 447368358 8929669115 6385503645 1291450077 3465346534 6982021824 2395015650 2920157110 4756796613 (Patrick Demichel, k=2466794)
  37. 466323967 7928286852 6362738310 4223107569 7677479346 2788844621 5605766198 8685258964 1900586917 (David Broadhurst, k=2)
  38. 476795867 8327165040 6278254442 0961909379 0906640488 5586860592 2133424503 8647100218 3727919929 (Phil Carmody, k=284)
  39. 514349448 7780059951 4251574825 3473367396 1211194893 4296582285 3876364909 5277613921 4202041201 (Patrick Demichel, k=2390200)
  40. 535709461 3022990201 1971258100 2448459971 2951143744 7584565716 5974133945 9020114355 5399603717 (Phil Carmody, k=4482)
  41. 550766193 7851283672 5397274571 3495615713 6039360393 5488594199 8188076721 0642085822 2543744681 (Phil Carmody, k=380)
  42. 562054654 6471958476 0339919871 7852823195 6187517650 4374537004 2659476126 4152402221 4040340847 (Patrick Demichel, k=1999091)
  43. 582488417 1727717702 4417779646 5555384692 2443316652 4707789233 1784694178 7548403765 0311016499 (Patrick Demichel, k=2290169)
  44. 685814427 5742533908 9618583422 6795260787 0382081092 5697058587 4556395332 5578385810 9209469287 (Patrick Demichel, k=1254463)
  45. 705034572 3136012670 8287691471 9374381310 7020615645 3684418927 0156628316 1267075826 6394996957 (Phil Carmody, k=466)
  46. 740312922 1990267232 9852257434 5541813299 7247725398 5575495571 9635998215 9575350724 5206632859 (Patrick Demichel, k=115161)
  47. 758159851 3064456186 8936851770 8679646582 0000000000 0758159851 3064456186 8936851770 8679646583 (Patrick Demichel, k=947089)
  48. 797343547 8187887948 0112781308 2806620663 4341033717 2689151214 3004288131 6486045190 1330945841 (Patrick Demichel, k=1765080)
  49. 811100290 6881805583 1339708487 0849336765 0781403201 0029697089 7663208784 0558305286 1630739967 (Patrick Demichel, k=499613)
  50. 910299146 0311598154 0314736737 2164225492 5717059451 6643797921 4423859016 5630438803 7542521863 (David Broadhurst, k=29)
  51. 927587105 1808913101 7604555583 3471527184 4103768310 3176181205 2294855208 6499212727 0632241127 (Phil Carmody, k=1031)

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.