Known 90-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 90-digit prime factors of Googolplex + 10

This is a list of known 90-digit prime factors of googolplex + 10, i.e., 1010^100 + 10.

These numbers have the form 1 + 2ki 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. 1047705066 7009359525 2514326050 7144718329 9397649608 4086996334 6412194465 7321570569 7511895423 (Patrick Demichel, k=349187)
  2. 1053613695 1271768992 2421399333 4095256274 5522185655 5531428039 6793954647 6899213677 9617441931 (Patrick Demichel, k=2670955)
  3. 1055304467 8966909090 9090919643 9537698760 0000000000 1055304467 8966909090 9090919643 9537698761 (Phil Carmody, k=1060)
  4. 1112272922 0643835103 9949419951 6926505095 9871564781 6621101402 3737727697 9724164232 1792812607 (Patrick Demichel, k=2034523)
  5. 1115230901 8288987873 6721844213 0808769966 7381710239 3733520662 5670698112 9340133973 8190480207 (Patrick Demichel, k=921263)
  6. 1135118919 5693915242 7883425936 0915791750 6667472790 5532353871 0973557547 8784046854 5751681041 (Phil Carmody, k=3480)
  7. 1161771724 2937915139 1976533108 0719655035 6449293853 8122903653 8625158444 6499768829 5909069687 (Phil Carmody, k=1021)
  8. 1237602684 7631818385 8144674707 0356024040 3712500490 3036594614 3826473284 6449822580 3919345089 (Patrick Demichel, k=50656)
  9. 1347006551 9473800000 0000013470 0655194738 0000000000 1347006551 9473800000 0000013470 0655194739 (David Broadhurst, k=1)
  10. 1359161216 3092785019 6175579723 7673066670 1986988569 3776924647 8661577552 1877315135 8236784413 (Patrick Demichel, k=320774)
  11. 1462906530 5762650536 8210482423 3971584094 9090909090 7628002560 3328258554 0880426667 5119324997 (David Broadhurst, k=2)
  12. 1500678294 7483385469 2498026350 2821503330 9929398475 1571279819 7412783944 2568627875 2750901807 (David Broadhurst, k=7)
  13. 1513742952 5978672708 2487142429 1808132494 9757952163 1755790789 5736624871 2729190266 1566084659 (Patrick Demichel, k=5813)
  14. 1551622083 2373013366 0391282243 3849402963 0965743107 8893561044 0211021494 3220650697 8543703001 (Patrick Demichel, k=213500)
  15. 1654236285 8479454454 6711240175 3411385065 9487368036 2166868249 7966822490 7223872139 2898753103 (Phil Carmody, k=4399)
  16. 1727648611 2841021580 0579361143 4559493169 8421372626 3306275985 1262394206 2157988517 2980865797 (Phil Carmody, k=122)
  17. 1819401210 0000000000 1819401210 0000000000 1819401210 0000000000 1819401210 0000000000 1819401211 (Phil Carmody, k=2595)
  18. 1854040905 3637680482 4058610785 2759216859 2106832830 9747208074 5744513313 1951777954 4866049691 (Patrick Demichel, k=58555)
  19. 1958044827 3549277700 4526843278 4585418103 1485148515 0472896312 5034426215 3041694763 6070566619 (Phil Carmody, k=173)
  20. 1980980928 0000000000 1980980928 0000000000 1980980928 0000000000 1980980928 0000000000 1980980929 (David Broadhurst, k=96)
  21. 2149089630 8484889601 4475155596 5419865342 7306265449 1856839251 5356715384 6784782392 9496774291 (John Gamble, k=17355)
  22. 2155670695 2757869728 9821479446 0182142150 2848602787 9307067907 5606472516 6972876658 3030744939 (Phil Carmody, k=221)
  23. 2286615676 9423161216 8010347454 1468674335 7622402632 4664213044 7045563849 0387944821 9091076969 (Patrick Demichel, k=884676)
  24. 2296520858 1388334496 5881962716 8801835640 0000000000 2296520858 1388334496 5881962716 8801835641 (Patrick Demichel, k=416740)
  25. 2459917347 5965728943 2744337091 1192169122 9889298892 7429381545 3923569949 7144961801 8697129771 (Patrick Demichel, k=2316665)
  26. 2549632292 6604178090 2148025284 8620786369 9926124357 5867879909 1726222648 5416190540 0159030327 (Phil Carmody, k=387)
  27. 2606782210 1649702757 8256784307 2451808242 1295282145 7543509515 4291884289 3528614189 8375632343 (Patrick Demichel, k=27769)
  28. 2700358779 2037220352 6755001424 2245099980 4719760877 7980597901 6756981230 2035240546 6964860859 (David Broadhurst, k=1)
  29. 2730727182 0000000000 2730727182 0000000000 2730727182 0000000000 2730727182 0000000000 2730727183 (Phil Carmody, k=397)
  30. 2748726637 0354646552 4982840246 1179018829 6016120882 6387194253 6903222699 6196360204 0000962841 (Patrick Demichel, k=2230940)
  31. 2842617567 6432338896 4756728813 7123508760 5378349086 2535731518 8946010190 0621620272 8254840327 (Phil Carmody, k=1913)
  32. 2944111522 7965982898 2898319270 0981262558 1188118812 1755992710 9154101710 1710200458 2169381371 (David Broadhurst, k=35)
  33. 3351383277 7907366450 1553267063 6774545523 8198249082 5153134195 6105615532 3355017981 4972794607 (Patrick Demichel, k=1083641)
  34. 3921184692 1434262948 5992897839 5537848605 9698077122 4223107570 1132340070 6294820717 5235925729 (David Broadhurst, k=16)
  35. 3950307040 3006582866 7134723715 9730604252 0000000000 3950307040 3006582866 7134723715 9730604253 (Patrick Demichel, k=2628434)
  36. 3968740897 3407912176 0845867295 2173462714 9455903323 5766046888 7840819833 1478561925 1704751367 (Phil Carmody, k=957)
  37. 4058078711 9575732396 9583548071 7862543280 0000000000 4058078711 9575732396 9583548071 7862543281 (Patrick Demichel, k=795080)
  38. 5030877844 2051451220 9937711888 3379452612 0000000000 5030877844 2051451220 9937711888 3379452613 (Phil Carmody, k=554)
  39. 5054494079 3593757301 5661475061 5564693239 1391581131 3662912948 4985338432 4269893930 6956274371 (Patrick Demichel, k=5545)
  40. 5225477043 0523026444 8020680355 4229131675 0665108307 4560368736 1188134751 7355572048 4894239983 (Phil Carmody, k=971)
  41. 5357354979 7477727183 2718273609 7220352406 0000000000 5357354979 7477727183 2718273609 7220352407 (David Broadhurst, k=1)
  42. 5703794056 1175656738 9204208590 6535326084 7344847980 0597843931 9051111530 2765169166 7622041921 (Patrick Demichel, k=257440)
  43. 5762265051 6027751990 0446052175 9227591712 5247105338 0515159714 1274857327 5198946838 4474697051 (Phil Carmody, k=175)
  44. 6047635764 2151161028 6128274891 4246468596 0000000000 6047635764 2151161028 6128274891 4246468597 (Patrick Demichel, k=1874306)
  45. 6173330393 7797102983 9076763643 3813814455 6491783804 5697586256 3885732098 2542717647 4521168717 (Phil Carmody, k=262)
  46. 6982883775 5893731750 7848097274 2156104925 8848346271 4828875421 2214929459 9506393570 6490848889 (John Gamble, k=15636)
  47. 6986445842 6579430491 6950900356 1535096286 0000000000 6986445842 6579430491 6950900356 1535096287 (David Broadhurst, k=1)
  48. 7498477665 1120936356 1057375933 9950789398 1386138614 6112339051 2507074969 9671237320 1336928013 (Phil Carmody, k=2974)
  49. 8447423958 5603567329 1753858127 7089565898 2507755733 4060331775 6904188405 0753897606 5418189837 (Patrick Demichel, k=2236682)
  50. 8649527555 8244203941 3887415836 3984221499 3493363457 5156164099 1737567398 0394052379 7477584957 (Patrick Demichel, k=478322)
  51. 8726287262 0000000000 8726287262 0000000000 8726287262 0000000000 8726287262 0000000000 8726287263 (Phil Carmody, k=161)
  52. 9034197348 8397883810 7229180677 1930419432 6816637460 2217559889 5214521270 0412543217 8747056893 (Patrick Demichel, k=40994)
  53. 9583190157 4550250119 0253889996 0089580832 2970297030 6612893127 7520547148 7283592966 3059877863 (Patrick Demichel, k=57961)
  54. 9652734253 9070690117 1585876758 1328899410 2574257426 7078476828 1644947542 9011619332 3903156837 (Phil Carmody, k=206)

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.