Factores primos de Gúgolplex + 10 con 65 dígitos
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Alpertron
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Teoría de números
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Factores primos de Gúgolplex + 10 con 65 digitos
Esta es una lista de factores primos de
65 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.
Estos números tienen la forma 1 + 2k ∏i piei,
donde pi es un factor primo de 10100 − 1
y ei es cero o uno.
La lista de factores primos de 10100 − 1 es: 3, 3, 11,
41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801,
18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.
En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.
- 10052 6563220612 1593148004 1168203720 4801081316 3745209164 2280925613 (David Broadhurst, k=14)
- 10118 0880262689 8623960063 9691360253 3114228470 6763358907 0682917059 (David Broadhurst, k=1)
- 10149 4025794590 4190689668 3755672343 8809055630 6015629748 1985460047 (David Broadhurst, k=7)
- 10189 9048785568 2076191004 4790524685 1206196518 1524813471 5844102251 (Patrick Demichel, k=7375)
- 10197 4735337870 1248402469 8609271910 4411612484 0246975895 2455706247 (Paul Leyland, k=34937)
- 10200 9096503069 8412886733 4539310401 3691168292 8289840560 3493483247 (David Broadhurst, k=1)
- 10238 0368993452 0000000000 0000000000 0000000000 0000010238 0368993453 (Patrick Demichel, k=1387254)
- 10252 5366674357 5273017787 4672315420 6963616993 9119736646 8489478771 (Patrick Demichel, k=20515)
- 10267 1220424792 9411184817 3104443456 9193879635 2859986767 0064928813 (Patrick Demichel, k=965722)
- 10305 0602859028 3114873532 7676517847 1304393435 1124628746 4953216303 (Norm Dresner, k=10517)
- 10307 8115354452 6504361162 1615969614 3645839673 3344570128 6618684019 (David Broadhurst, k=1)
- 10347 4799004910 0535762961 6405493159 9289737236 6844282417 8223269943 (Paul Leyland, k=32339)
- 10378 6676756403 3353492049 3353492049 3353492049 3353481670 6676735647 (David Broadhurst, k=1)
- 10390 1358283037 4043940205 8429368258 4180390913 6555805450 8551196571 (Phil Carmody, k=1945)
- 10410 6090641730 2810098005 5662998421 3255554350 8444615411 2312408167 (Phil Carmody, k=583)
- 10464 2291991204 4905279594 8838249424 7323467234 6141296100 0832300213 (Phil Carmody, k=554)
- 10478 9567303837 1800759247 0454095234 4703159315 1793935369 5825384503 (David Broadhurst, k=7)
- 10480 8285382602 7219580325 2913436511 6645963104 8941609562 6274874767 (David Broadhurst, k=1)
- 10481 8682121202 4963831343 6818501728 9791704423 9966546353 3741292059 (Patrick Demichel, k=2121391)
- 10493 4377940579 6731729251 4326323027 2316162122 7658890383 2840090291 (Patrick Demichel, k=2906165)
- 10504 5868040533 6004208097 8867091880 4830350757 7426194579 8752500209 (Phil Carmody, k=488)
- 10554 3332391080 0935287005 9615045866 7051847180 9353070695 3858689081 (Phil Carmody, k=260)
- 10574 9598542477 1624511966 5037264681 9341837124 8734481089 2403928583 (Patrick Demichel, k=467909)
- 10668 1104794301 6152883508 3037575052 7960885034 8111775882 9388533117 (David Broadhurst, k=2)
- 10694 4498514545 0252662548 5019813687 7174993950 3392835584 3780410183 (David Broadhurst, k=31)
- 10748 0146080459 8954945035 3357779267 4538441571 5678320588 0243238407 (Patrick Demichel, k=1138051)
- 10779 2043982607 8753242856 5844876322 7199457996 0267176300 4876590927 (David Broadhurst, k=1)
- 10786 5420762426 2576557398 2245875659 4377751682 9695345703 1862558133 (Phil Carmody, k=602)
- 10807 9095790012 6183594007 7872368507 8862271497 3932543801 7386754699 (Patrick Demichel, k=1940903)
- 10813 9547932852 0687766590 9843352979 9427075155 3416977411 1950182287 (Patrick Demichel, k=22943)
- 10843 6285367593 2942979132 7057020867 2942979132 7057031710 9228346727 (David Broadhurst, k=57)
- 10876 3297226039 6280733408 5397647609 6124052852 4336333145 2459225247 (David Broadhurst, k=1)
- 10937 6563527324 7439754933 4659004181 5421474397 5493335652 3854626891 (Patrick Demichel, k=5405)
- 10957 6280342045 3819963520 6180036479 3819963520 6180047437 0100305567 (Paul Leyland, k=38651)
- 10965 0574877625 8671183313 3586077481 2101529341 3152042027 1914279247 (Patrick Demichel, k=1266947)
- 10977 7019758903 6680006252 5101029990 5400917286 8827308992 0792105809 (David Broadhurst, k=8)
- 11148 7166736278 0361102216 9641393581 7746503458 2080465644 6192087011 (Patrick Demichel, k=2664645)
- 11201 6593672345 9161110908 0127860071 6783791611 1090790076 9413495493 (Patrick Demichel, k=26774)
- 11209 4530916406 6611537245 6365118716 8266750969 2018446842 8036182543 (Phil Carmody, k=151)
- 11211 2885035359 8679385610 1320614389 8679385610 1320625601 1564420971 (David Broadhurst, k=65)
- 11266 8626694441 8506598612 0019041224 3027039042 2549612650 9661699397 (Patrick Demichel, k=1176686)
- 11270 7597171239 9877810713 1319993733 6413689687 1980392838 2685283807 (David Broadhurst, k=1)
- 11302 5537112174 4856435654 5315200744 8952295048 9013997856 8653523933 (David Broadhurst, k=94)
- 11360 6097856349 0912588893 9009733034 0228879320 7429188527 6941158543 (David Broadhurst, k=1)
- 11396 4484189794 0981529248 4786961909 6039901985 8255252535 0504961609 (David Broadhurst, k=4)
- 11431 4869843549 4730387730 8758653496 4216272208 3178120494 1731733801 (David Broadhurst, k=100)
- 11435 2540870364 1143889628 7816843018 7677262868 2795002694 9762221449 (Patrick Demichel, k=986036)
- 11446 3573263958 6856683421 9627278320 5994998331 5365714591 1282325757 (Phil Carmody, k=5026)
- 11458 3553907580 9430060906 3098431670 4474974337 3347660748 6094953299 (Patrick Demichel, k=1243251)
- 11475 4806059803 5537200689 6164962280 0502099120 9257709048 7787500767 (Phil Carmody, k=19391)
- 11551 6276212754 3731780656 2039086272 5404479953 3802051474 8087483927 (John Gamble, k=14747)
- 11565 6682042708 0569298318 1162766851 4271038575 4595021075 1059658851 (Patrick Demichel, k=44725)
- 11678 2915874136 0629702957 3169103369 6897504714 9846124073 1441900801 (Patrick Demichel, k=73600)
- 11727 1166798950 1891403344 6613584104 5986919155 0142869471 3530845127 (David Broadhurst, k=1)
- 11757 7542057635 3889523383 0484294911 7673378088 7027008504 3490447823 (John Gamble, k=16111)
- 11792 7247593973 6476170053 6409067067 4607157482 4107783265 6681104979 (David Broadhurst, k=1)
- 11855 9271408217 5031640101 3611144544 4850445112 9249831297 6684705863 (David Broadhurst, k=17)
- 11860 5924661844 6994019655 0948236444 6382930059 8034478657 0430874327 (David Broadhurst, k=67)
- 11879 6133888780 4884003791 5115996208 4884003791 5116008088 1017892573 (Patrick Demichel, k=483742)
- 11981 0407253825 3603018603 2349701738 0993923774 0755761913 2321468841 (David Broadhurst, k=20)
- 12052 3448365211 2238131052 1364240214 9270922381 3105201590 0573127499 (David Broadhurst, k=11)
- 12185 6123380470 8454906245 8743643393 6250248784 2708733711 2870590361 (Patrick Demichel, k=199060)
- 12247 4818259296 1162147148 1833955690 8532488049 1815650209 3515895053 (David Broadhurst, k=2)
- 12278 0297155605 6734077886 4303799001 9682285057 7451197082 5042499971 (Patrick Demichel, k=96265)
- 12289 0646036389 3071559006 6928440993 3071559006 6928453282 3717595397 (David Broadhurst, k=2)
- 12318 9118418474 7043684024 1216411481 7767632044 9532425198 3358987743 (Patrick Demichel, k=27699)
- 12355 0034665597 6731302765 4596289052 8789917258 6995113832 4433824041 (Patrick Demichel, k=596540)
- 12405 7764487905 1560333485 4488344110 0338115603 3348532477 6646515477 (Patrick Demichel, k=1527942)
- 12445 9942965154 9232631886 5731940518 7032568810 0264974595 4422036253 (Patrick Demichel, k=2294002)
- 12454 7195005029 5717833290 4282166709 5717833290 4282179164 2912838321 (Phil Carmody, k=760)
- 12512 8493863320 9756097560 9756097560 9756097560 9756085048 1262234241 (Patrick Demichel, k=6080)
- 12515 1788717012 5174881009 5629764503 8228241186 5983015733 8317319259 (Patrick Demichel, k=40101)
- 12553 9884248196 8776980146 7117032274 3589455261 3872904508 2369123157 (David Broadhurst, k=2)
- 12560 7423672321 2241121300 2640827419 3911642589 4273258741 8845838863 (Norm Dresner, k=11349)
- 12574 0747805070 4011266045 5988733954 4011266045 5988746528 4759071117 (Patrick Demichel, k=648062)
- 12639 2398444662 8416239038 6129058249 8772875685 3942499786 4731113841 (Norm Dresner, k=13080)
- 12685 9737466043 4330034926 4416476548 7411958473 8470525809 2560156247 (Norm Dresner, k=12277)
- 12692 3679651605 2940654883 8469030393 8835728322 0284460345 9053817767 (Patrick Demichel, k=1962463)
- 12745 9028992562 4958695085 3052141927 5146776653 3115482972 9402282211 (Phil Carmody, k=605)
- 12753 1943938113 1164711683 3801543058 9911193665 0790722267 3296969369 (Phil Carmody, k=1076)
- 12777 2388693305 4390220504 5523221251 0063222840 3629290307 5956558527 (Patrick Demichel, k=170797)
- 12800 3902382784 1951089892 8356692983 5580107090 3161441893 7691288077 (Patrick Demichel, k=487562)
- 12820 3075646414 5279690976 9949319076 1390529446 6324628005 2679360253 (David Broadhurst, k=2)
- 12826 3511937595 1127651538 9647412136 7617955390 1512757366 1941052893 (Patrick Demichel, k=1643462)
- 12831 5608621075 5771855279 7803354785 9209447352 9868817972 4337531373 (Patrick Demichel, k=136142)
- 12878 0079110675 7447299210 3070517053 3600574472 9921017827 1626225331 (Phil Carmody, k=185)
- 12896 6227949380 0567458367 2638074443 0176505436 5274371833 7438859967 (Phil Carmody, k=1013)
- 12952 3571047612 6325896639 3674103360 6325896639 3674116312 9896944253 (Patrick Demichel, k=27622)
- 12973 8897021960 5642527473 3571507226 4869046857 5961069419 7918011303 (David Broadhurst, k=17)
- 12998 2517989958 0874105278 3798267700 6965409423 0459625666 4183880379 (Phil Carmody, k=2533)
- 13004 4190062145 8542899558 8895509966 1704983388 5089485707 5723387693 (Patrick Demichel, k=56974)
- 13005 2294114419 8592023674 8590324011 1988281175 5790145842 5959957293 (Patrick Demichel, k=1268002)
- 13056 9186065756 1370543002 4742800462 4581871366 9286852486 6307012361 (Norm Dresner, k=11980)
- 13067 4454544340 7731416534 3040866228 6723982820 8713015151 1753013299 (David Broadhurst, k=1)
- 13103 9588291182 7648429406 0548935035 5225525565 8892094599 6155352743 (Patrick Demichel, k=1252951)
- 13119 3134995732 0855093888 0855093888 0855093888 0855080768 7720098157 (David Broadhurst, k=62)
- 13129 5754960828 0826566236 3296685758 2420191734 3376353903 5669214971 (Patrick Demichel, k=1156765)
- 13131 8891098583 6072957544 0774152763 2009212524 1570952380 3157954579 (Patrick Demichel, k=2970289)
- 13189 2902251490 9727228141 8221745067 2989043358 2707562126 1019783849 (David Broadhurst, k=36)
- 13193 9601816851 6755935868 3244064131 6755935868 3244077325 6357752721 (Phil Carmody, k=2360)
- 13210 2508180623 4936691348 7573625006 8074462994 7254153046 2414579487 (Phil Carmody, k=751)
- 13223 4941743327 8631743764 6257555642 5753840862 8921903897 5167968757 (Phil Carmody, k=4342)
- 13229 3871937736 3198509236 7210054522 2640503958 6445683018 1688648853 (Patrick Demichel, k=551854)
- 13255 9441765146 8698742025 8144437570 2595799894 6206245300 7397932183 (Patrick Demichel, k=71897)
- 13318 4837326552 7957541935 1618271133 7885732583 8245265791 4607363837 (Patrick Demichel, k=7246)
- 13329 0859369603 0983049597 7947419813 9715226893 3760056067 2974381637 (Patrick Demichel, k=116062)
- 13365 3162958522 7105196502 3216567327 9171396798 9868336627 9971255813 (Phil Carmody, k=1434)
- 13444 3494229684 0093310783 3321051291 0808442271 4566737901 1862556089 (Patrick Demichel, k=21756)
- 13448 5223439174 6561955838 8703458708 3771347662 4742480435 9495175851 (David Broadhurst, k=75)
- 13457 3080112432 6446124281 6759002684 8632757616 3112647287 7872867051 (David Broadhurst, k=25)
- 13459 4832955027 0669146310 9330853689 0669146310 9330867148 5502101339 (Phil Carmody, k=301)
- 13463 1268799746 3738447118 5662272360 5187211834 2611606751 6890029583 (David Broadhurst, k=7)
- 13482 5644458824 6950951493 4330058499 2223400131 6761444095 1026942847 (John Gamble, k=15717)
- 13490 5076223862 0153888307 4744841771 5891957027 8395779690 9979720093 (David Broadhurst, k=2)
- 13597 4537973622 4481089428 8634116845 6702406226 1327245314 3315826531 (Patrick Demichel, k=29335)
- 13639 8147118196 1946057469 9256251975 8406682085 1566543314 8617160293 (Phil Carmody, k=494)
- 13663 7599931357 7211058738 0333490609 3178086054 8104865368 3572554209 (Patrick Demichel, k=94896)
- 13680 3101035238 8021887479 2593171507 8163694077 5166443235 3685462099 (David Broadhurst, k=1)
- 13703 6350259249 6814169692 8904460094 0944105990 3025052233 3961939037 (Patrick Demichel, k=1923702)
- 13766 7312391203 0399801153 2782911713 4074594907 1024404971 4768040453 (Patrick Demichel, k=103142)
- 13831 1519621611 8016615366 1865163619 1838661316 6009166509 4387121383 (Phil Carmody, k=1149)
- 13838 5675937643 4317333638 5807831655 0081360558 3418172381 7265006851 (Phil Carmody, k=2675)
- 13846 3085299229 2053298919 4853391363 0155146133 6774704286 4445065887 (David Broadhurst, k=1)
- 13863 4010631880 6009601807 3990398192 6009601807 3990412056 0020233689 (Patrick Demichel, k=150284)
- 13898 3834795209 0108159562 9891840437 0108159562 9891854335 3942954773 (Phil Carmody, k=226)
- 13947 3847760126 5571233848 3592647665 7664844484 5224735054 0647175813 (David Broadhurst, k=2)
- 14121 4026727994 0402343934 6814651807 9963920068 3506094372 8155158209 (Phil Carmody, k=2144)
- 14149 9227833099 5011362895 1466240934 4750663185 1598922101 5214336329 (Phil Carmody, k=1716)
- 14151 3952719627 0979897150 6396851988 3097499187 2114574663 6896477613 (Phil Carmody, k=674)
- 14185 4680896754 8110500186 5870298801 7825479970 6172471021 2267778367 (David Broadhurst, k=7)
- 14219 3405974951 9477456147 1217594292 8705394774 5614697956 6023312103 (David Broadhurst, k=1)
- 14264 7387678178 7482324278 7041796126 8229125176 7572115317 2999639531 (Phil Carmody, k=235)
- 14277 0352375492 8902757419 4047942236 1749798234 0335039922 8040677247 (Phil Carmody, k=247)
- 14342 0667621180 9659372266 0906540665 3750421765 7617757345 5782110819 (David Broadhurst, k=59)
- 14377 3592236629 3355244816 2760063951 0938936619 8505276575 2225774637 (John Gamble, k=15582)
- 14381 2238338041 7433748204 6407452440 9391951895 0951484392 5861500733 (Patrick Demichel, k=1383114)
- 14421 5739956123 1167550720 1021930320 1467212955 3395449342 3097254103 (David Broadhurst, k=1)
- 14471 4904955835 4553149761 3001782351 4477472402 3551041737 4308331409 (David Broadhurst, k=8)
- 14477 7305118275 2565722952 3555555770 1465456086 8474195538 3300603567 (David Broadhurst, k=1)
- 14536 3548332650 8429498061 8726986858 4263240357 4164057231 5491796423 (Norm Dresner, k=12547)
- 14550 2210750531 9490503754 3594984853 3735632486 6617258981 2516424407 (Patrick Demichel, k=64477)
- 14577 0671230341 4562362705 5250453925 6016774304 9421813245 9172201849 (David Broadhurst, k=4)
- 14607 8693114156 1925070672 0906826801 6841248527 3977630863 1292458009 (Phil Carmody, k=1996)
- 14643 9081852918 2379685595 0013817450 0795840811 7901349826 5634003733 (Patrick Demichel, k=2051042)
- 14654 9843627278 2823324532 1930676014 3774246559 9385475568 1104424011 (Patrick Demichel, k=63535)
- 14663 9474645102 7066702199 7228741503 0259644563 7585512718 9041745819 (Patrick Demichel, k=2128801)
- 14680 1465001505 0781052561 4000289666 3822787310 6278296066 3519520517 (Phil Carmody, k=2562)
- 14700 0743537100 8750694477 1812304696 2563301480 5280864859 3243961179 (David Broadhurst, k=1)
- 14701 2770370436 6798653974 6145556604 2443651562 0091096338 3827522607 (David Broadhurst, k=1)
- 14708 1490641665 6440574723 3604258600 6604585212 5215441171 1063247049 (Norm Dresner, k=10556)
- 14767 2679407908 9205714420 2259648072 5047492057 1442007829 2127842567 (Phil Carmody, k=3187)
- 14808 1437092445 7195430391 5139885096 7740697985 2819614757 2333931183 (David Broadhurst, k=7)
- 14825 2453350942 8241336983 1758663016 8241336983 1758677842 0694687927 (Patrick Demichel, k=2050167)
- 14859 7360842095 0554032148 6208727935 3188286310 5266035159 8954546167 (Patrick Demichel, k=399197)
- 14886 1303233133 7625820373 7041142407 7194617266 9493800894 4304852623 (Paul Leyland, k=31149)
- 14889 1295891794 7536820323 3136209415 9022912982 4804753290 4290645213 (John Gamble, k=15114)
- 14916 0081675179 2041062031 0384958494 4627120410 6203088933 5767771093 (Patrick Demichel, k=8362)
- 14919 8956869510 5830029629 6124744641 1392511717 8048833560 1454347249 (Phil Carmody, k=3416)
- 14982 9738582614 1530976811 2611334762 5949335048 4337218831 8190260527 (David Broadhurst, k=1)
- 15008 3916484660 9061086547 0195246689 2203494450 0541684408 7619514521 (Patrick Demichel, k=1058540)
- 15022 2889807143 4778515397 9129923150 5032436174 8360118959 0568882659 (Patrick Demichel, k=56819)
- 15055 7666786366 1286313564 4535991649 0774758317 6810975758 6952666837 (Patrick Demichel, k=29142)
- 15059 3671575639 2995750954 2727002440 0186763918 8852313643 8206975653 (David Broadhurst, k=14)
- 15089 2010057310 2613194261 7386805738 2613194261 7386820827 4623251573 (David Broadhurst, k=2)
- 15104 1112720958 2746836569 9166321476 0077075073 7003748575 4458864263 (Patrick Demichel, k=45039)
- 15135 7659733996 1977178311 9870856873 9852380228 2168786155 6652867481 (Patrick Demichel, k=551860)
- 15217 7594555077 5328690002 6538071072 3252823573 0401271403 0660078447 (Patrick Demichel, k=325933)
- 15232 6994688298 6114192086 7206365802 3254513821 3940709510 4317596927 (Patrick Demichel, k=339043)
- 15280 3036766076 6048854284 4048470343 0935212679 7779022813 9615073157 (Patrick Demichel, k=22082)
- 15357 6557032557 4900493617 9814783923 3619300604 1054455504 8906462407 (David Broadhurst, k=1)
- 15409 6401556700 9035521437 6631319655 6867568822 5907076679 3036847367 (Patrick Demichel, k=1477077)
- 15413 1481692412 6847748755 1349985089 5653548204 2038656770 1408841161 (David Broadhurst, k=20)
- 15432 5132237458 4534303308 5124233076 0510537037 3467659138 0857491717 (Patrick Demichel, k=50282)
- 15436 2662799074 3580627656 4293099825 4852062366 0109654054 4663776007 (Patrick Demichel, k=53521)
- 15452 3792737751 8301350118 7926253961 9197000321 7323425443 0949991859 (David Broadhurst, k=91)
- 15555 8653221899 6540492256 7395123581 9430941715 3495229439 5135501681 (Paul Leyland, k=36760)
- 15559 9862889553 0891769323 3258730417 6598579507 1211723075 0709123899 (Patrick Demichel, k=623689)
- 15575 3676118513 0117578526 4497115215 2903807510 4975288666 0127120783 (David Broadhurst, k=1)
- 15624 2169816393 5225672280 2857567485 9429542021 0437665264 0809819219 (David Broadhurst, k=79)
- 15699 3530230436 9385258491 0614005997 7149708458 9143951453 6885882969 (Patrick Demichel, k=95204)
- 15734 7449271777 9109955633 8242629670 4627731766 1496707358 1451115167 (Phil Carmody, k=133)
- 15781 6365208544 5777551444 4699481065 0176179325 6774275472 5004603613 (David Broadhurst, k=2)
- 15798 9680510712 4361577583 5596637344 5158390332 5636462182 9979871653 (Phil Carmody, k=894)
- 15934 0724014881 0747915974 2979157312 6467575447 6695237201 1837403371 (David Broadhurst, k=15)
- 15939 5263582863 9289339618 1450817196 6001280170 6639734034 3909304637 (Phil Carmody, k=662)
- 15942 3297711089 4554995621 2533988146 5661185571 6424650612 2485236773 (Patrick Demichel, k=109042)
- 15944 1193647930 5499025222 2311774226 2152411676 4144427604 8050397213 (David Broadhurst, k=2)
- 15956 6123023543 0755495443 9554249803 8087210402 8267678006 7225923423 (Patrick Demichel, k=130539)
- 16024 2509108720 1275979170 7708743615 9342667305 2462515608 6397939253 (Phil Carmody, k=142)
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