# Known 91-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 91-digit prime factors of Googolplex + 10

This is a list of known 91-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. 1 0145823593 5324119532 1209196223 9989692531 7535481939 7510426511 9530705113 0596727213 4999758921 (Phil Carmody, k=140)
2. 1 0277900561 2246138290 5785208534 8537782714 3252750328 2806566259 8676380401 4303811839 9902059281 (Patrick Demichel, k=679160)
3. 1 0783685844 9192525915 7886063509 1844062495 8787878786 8004192942 9595352872 0901815278 6943816293 (Phil Carmody, k=302)
4. 1 0983992707 3545816734 1661283544 0079681275 9987976771 0996015937 3533793504 1673306774 0067658047 (Phil Carmody, k=493)
5. 1 1315012447 5334783928 0563863233 1494467267 0771666951 0877616141 9924523788 6131358693 1364485327 (Patrick Demichel, k=1849513)
6. 1 3629078893 2305769307 2493966983 5395492364 9424555632 4204523262 1730324938 3069411352 4820047997 (David Broadhurst, k=2)
7. 1 3981722794 1760352905 3519231579 8985663757 7425742575 6555980219 9186095479 6093489005 6411406333 (Phil Carmody, k=3706)
8. 1 4804378995 5220784076 9909280635 6323536284 8316831684 6487547312 3537615760 1592448952 4640367969 (David Broadhurst, k=16)
9. 1 5369402113 0170807565 1845473673 1436305857 1089108912 4280293202 1259916476 0756364762 2525414769 (David Broadhurst, k=8)
10. 1 5816489224 3493306960 3804973643 2550289611 4581051860 9056605066 0619075213 7744911451 3242387877 (Phil Carmody, k=3962)
11. 1 6068934196 6556022764 2005714786 1279842300 7267433155 7973395020 9347324073 6629764302 7749618179 (David Broadhurst, k=1)
12. 1 7100084508 7330677292 5466618373 2749003985 7737534707 9362549802 5068211998 7729083667 0486538693 (David Broadhurst, k=2)
13. 1 7678364661 6136088435 8133815620 5605249796 6977220175 0701144488 3113308609 1156595447 2582469971 (Phil Carmody, k=365)
14. 1 8113562010 3027888448 0264956432 6135458169 1420334918 6693227093 4448223364 8844621515 7555793087 (David Broadhurst, k=1)
15. 2 0345778236 6965095091 0491098548 8314564742 0000000002 0345778236 6965095091 0491098548 8314564743 (David Broadhurst, k=59)
16. 2 1179851270 6357376451 5243745527 2594338089 9845575131 5189184563 8524825092 7242890782 3822213089 (Norm Dresner, k=13296)
17. 2 1301367259 0683176440 5505109300 3948283272 3148951337 8152415923 3832127776 2356157964 7097234609 (Patrick Demichel, k=804776)
18. 2 2123562156 2266654545 4545675781 0761077212 0000000002 2123562156 2266654545 4545675781 0761077213 (David Broadhurst, k=2)
19. 2 2732868022 8461286858 0276908020 9770571470 8962483461 3770384563 7423770317 1314424561 8733054931 (Phil Carmody, k=1855)
20. 2 2893816029 1136657986 9574101103 4790704014 8918384639 3975431392 0055042624 0655716466 3709088653 (Phil Carmody, k=19794)
21. 2 3611836116 0000000002 3611836116 0000000002 3611836116 0000000002 3611836116 0000000002 3611836117 (Patrick Demichel, k=118058)
22. 2 4134902531 8973451553 9011055133 7696559216 7034729791 7100172742 6008181343 1976325344 4731289007 (Patrick Demichel, k=192541)
23. 2 7611568499 7743677476 5923083535 8692472443 2475247527 5136320975 0218925001 3447836011 1167719969 (Patrick Demichel, k=864816)
24. 2 7719388499 2651068320 4157808873 4692394831 0989573257 6729815244 3640641575 3168235618 5681968087 (Patrick Demichel, k=43211)
25. 2 7779505526 1681085737 3200283149 0442925471 2789089136 6059117412 2898986371 7885778464 7263228729 (Paul Leyland, k=37476)
26. 2 9629092490 2878562792 6132377956 7033490649 9696510376 4701055187 1122684686 7274123186 2643213783 (Patrick Demichel, k=2840641)
27. 3 0533441820 0239043827 7545394011 2589641437 3162923891 7370517931 3401967716 4382470122 5752565327 (Patrick Demichel, k=2932697)
28. 3 1419496806 2446480652 0249816622 5035265608 0267988501 3322853210 8013549032 4136168318 3199462157 (Patrick Demichel, k=1876322)
29. 3 3632210435 7997999774 0108118584 9981237892 8082055276 3269993435 0777481046 5419850437 0405849863 (Phil Carmody, k=2687)
30. 3 5823885539 5078089588 0204098272 3321143596 0000000003 5823885539 5078089588 0204098272 3321143597 (Patrick Demichel, k=25478)
31. 3 6543405502 2988000000 0000365434 0550229880 0000000003 6543405502 2988000000 0000365434 0550229881 (Patrick Demichel, k=81340)
32. 3 7023114008 3146581939 1258897382 9233213404 9452439740 7570674271 2599021676 1806457645 8685653143 (Phil Carmody, k=639)
33. 3 9117547893 1662682080 9885199914 2642165454 1677492237 7440055659 3340174314 8207707680 4319657689 (David Broadhurst, k=36)
34. 4 0204099994 1797663832 9651734126 0348445856 3268839649 6935260348 5066503478 6382894480 3617285503 (Patrick Demichel, k=111689)
35. 4 1009056572 0000000004 1009056572 0000000004 1009056572 0000000004 1009056572 0000000004 1009056573 (David Broadhurst, k=2)
36. 4 1242996535 5007448357 1723844646 1250723544 3736225405 9385659153 4465828845 7191663632 4636896289 (Patrick Demichel, k=1223248)
37. 4 3032621991 6015936259 2833418804 3505976099 9207920796 3824701199 5223857051 3625498012 2713896893 (David Broadhurst, k=2)
38. 4 8044748330 0000000004 8044748330 0000000004 8044748330 0000000004 8044748330 0000000004 8044748331 (Phil Carmody, k=18385)
39. 5 3302952718 6132759282 7715400925 4287833841 4184897839 3287234324 3169133960 6292172546 1627614557 (Norm Dresner, k=12022)
40. 5 4340686030 9083665344 0794869297 8406374507 4261004756 0079681280 3344670094 6533864547 2667379259 (David Broadhurst, k=1)
41. 5 5105638535 3370750611 6863255576 6896677967 5351936620 2379613965 6947162535 6140836237 4519885521 (Patrick Demichel, k=80920)
42. 5 7517852984 0647446847 6980920213 6272921863 0495049510 7022803479 1142496352 6485870708 6767971369 (Patrick Demichel, k=241148)
43. 5 8123678038 8023027833 2216272925 4711694517 6831683174 1291994870 4854711001 5384589757 1543377687 (Patrick Demichel, k=1489483)
44. 6 0270962066 1434262954 2342675213 5537848611 6047854496 4223107575 7482117444 6294820723 1585703103 (Phil Carmody, k=521)
45. 6 1983985215 8515813073 9188179459 0094810982 0000000006 1983985215 8515813073 9188179459 0094810983 (Paul Leyland, k=36851)
46. 6 7146605786 1936055719 9070766668 7644528550 4563884216 5578678382 3935589918 9351560584 0772330167 (Patrick Demichel, k=1458837)
47. 6 7234232661 3628158411 7836236906 2124917792 8543976342 1309743687 4915817937 0707739442 6419058557 (Norm Dresner, k=11306)
48. 6 8892209633 4403999819 9820670920 2961543859 9801980204 9090229435 4205980018 0018690722 2763524059 (David Broadhurst, k=91)
49. 7 0450174331 8403775961 6118021238 4188191584 4236279805 9523157273 9856408233 8556505586 5307052373 (Patrick Demichel, k=54826)
50. 7 0697868448 4679780079 6813455982 6685484248 0000000007 0697868448 4679780079 6813455982 6685484249 (Patrick Demichel, k=118564)
51. 7 3449743446 0246621610 1208138585 1953274403 0048281542 3401461911 0294903145 1159857050 2001555939 (Patrick Demichel, k=300811)
52. 7 3651989407 2691691738 1569648873 6962618655 0742728050 2909261364 3434419781 0826920830 7705346699 (Patrick Demichel, k=111989)
53. 7 5348914535 6886840365 3334149487 4483809233 7369929339 7978985203 4256769697 5964220155 1853738567 (Patrick Demichel, k=81197)
54. 7 8893140317 9362549808 6861267807 9760956183 1881188126 7011952199 1243737927 4980079689 1642144303 (David Broadhurst, k=1)
55. 9 3144217846 8264099817 7345890665 8535582458 7326732682 5817485173 5590832491 0019157992 5862315133 (Phil Carmody, k=302)
56. 9 3425604782 6199335539 3651420028 3298051571 9681274891 0558458962 3999867647 8858540131 0327446437 (Patrick Demichel, k=294362)
57. 9 7403397875 1128932972 5862158960 6189580881 9388057032 1984659166 8259124069 3525898081 3198476161 (Patrick Demichel, k=2016320)

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.