Factores primos de Gúgolplex + 10 con 62 dígitos

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Teoría de números
Factores primos de Gúgolplex + 10 con 62 digitos

Esta es una lista de factores primos de 62 dígitos de gúgolplex + 10, es decir, 10^{10^100} + 10.

Estos números tienen la forma 1 + 2k ∏_i p_i^e_i, donde p_i es un factor primo de 10¹⁰⁰ − 1 y e_i 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.

10 0250884479 0378488058 9580801385 2868493117 5060361285 9698068361 (Phil Carmody, k=3580)
10 0371174399 0450043051 1157597963 2092901587 9888136061 1494692383 (Patrick Demichel, k=1082359)
10 0479244129 0441724099 9157613469 0509786397 8118091681 6803438773 (Phil Carmody, k=1334)
10 0518396149 1917437816 3921111952 2007280825 6218360778 8286383779 (David Broadhurst, k=1)
10 1055718847 5760090635 0479166004 8482855853 0362897761 7654836117 (Phil Carmody, k=1438)
10 1283437909 6853182204 0072326522 9690239823 6807821782 7604349437 (John Gamble, k=15182)
10 1311750605 2793271359 0084108012 3948649845 0641876926 5664787687 (Phil Carmody, k=583)
10 1423555222 1583322604 6336894848 8253256694 2719254726 0643125489 (Patrick Demichel, k=597176)
10 1435937937 8481522069 3212085769 4195192585 0523525234 8981004687 (David Broadhurst, k=37)
10 1906565584 3656064821 8928453353 8631590601 0042297099 5594506247 (Patrick Demichel, k=8453)
10 1980248072 7349369324 7349369324 7349369324 7349369314 5369121253 (Patrick Demichel, k=1007786)
10 2288524062 7521884690 4834893275 0775310835 5784965590 0137874769 (Patrick Demichel, k=9688)
10 2352398698 8569241786 5782932054 1231926267 7017354120 5638200943 (David Broadhurst, k=1)
10 2387790963 3971577964 1819354504 0588060127 5792854532 5440361899 (David Broadhurst, k=1)
10 3596260165 5874527802 4174032803 9057593805 0389803482 9564608499 (Patrick Demichel, k=196171)
10 4011648441 0529074634 3520680271 0459705290 7463435196 4015456157 (David Broadhurst, k=2)
10 4023980669 6154161205 9093530697 3203447890 7160850363 6338656133 (Patrick Demichel, k=126154)
10 4259729911 3858654353 9061660222 2113142537 3914795501 3458684131 (David Broadhurst, k=5)
10 4597909163 4519197890 0478413886 8801518222 6552458620 0354866237 (Phil Carmody, k=182)
10 4737644229 7891769041 5618104128 8417549583 9837526836 8608610613 (Patrick Demichel, k=280486)
10 4781225856 0868407069 9004280732 5246208684 0706990032 3292026607 (David Broadhurst, k=1)
10 4845163697 6926925901 8198844720 1506399223 3147557952 7267200143 (Phil Carmody, k=1657)
10 4953151997 8132908353 3622374521 0858205704 8397760589 0061380961 (Patrick Demichel, k=454480)
10 4998894172 6617487387 4791894170 3317641188 1197582682 6438726767 (David Broadhurst, k=77)
10 5040946149 7855818900 0846906742 5375976110 5959468959 1774481259 (Patrick Demichel, k=1694743)
10 5057781960 9995417112 9355390948 3468231970 2360409681 4246651933 (David Broadhurst, k=2)
10 5240251845 9876228652 3214020439 9562295989 2205793720 6568076009 (Patrick Demichel, k=345988)
10 5574103482 8902310323 2110489707 9104644763 7769010699 5551703863 (Phil Carmody, k=191)
10 5662990461 6826174814 2384735636 8603801108 5434990682 0599502409 (Paul Leyland, k=32396)
10 5708253751 2448803781 1137833503 9032705518 4992163573 1182084881 (Phil Carmody, k=360)
10 5726298617 6317217370 3130583071 0205035899 4464304022 5308076161 (Patrick Demichel, k=7360)
10 6042470484 3101167346 9923297996 6490220149 7710768284 4085149259 (Phil Carmody, k=2531)
10 6548296619 1802145813 8072078726 7681491586 3945910316 9082648253 (Patrick Demichel, k=2960814)
10 7047937932 7063253312 1342363723 0782624014 9992966795 3986123277 (David Broadhurst, k=2)
10 7393716261 8254271975 5078950433 4370476364 7859436625 7707354971 (John Gamble, k=17315)
10 7430095137 9820911653 2356280413 3582536203 8462132226 2666842089 (Patrick Demichel, k=792004)
10 7772867529 7318788142 7175081220 9640020199 8336184090 6325324489 (Phil Carmody, k=476)
10 7849285558 6871086908 3217964543 6731296863 3923388608 2363534609 (Patrick Demichel, k=263608)
10 8082537937 4966375033 4178721479 6035979145 8220473250 5101278997 (David Broadhurst, k=2)
10 8085759235 7088595133 1600622442 1928676123 7130502009 2615083801 (Patrick Demichel, k=133100)
10 8147465418 7955246081 2837250062 6772144661 5271449530 6794222013 (Patrick Demichel, k=160286)
10 8169058201 5160476793 3526679440 9942010405 0055102430 7943720689 (Phil Carmody, k=3976)
10 8245088619 2072966181 8029682027 1704770559 1635230115 4974678259 (Patrick Demichel, k=383771)
10 8418971137 8196804124 4849928070 0418748132 3720877429 0255412489 (Patrick Demichel, k=2089396)
10 8434640860 6143061028 0450871297 1146825321 0430419435 4303272957 (Patrick Demichel, k=128342)
10 8434769472 1893636606 3047391265 2877873481 8206085008 5237213853 (Patrick Demichel, k=656162)
10 9958280929 6322807096 1884600607 5251224625 3207787339 7635286693 (David Broadhurst, k=2)
11 0097354760 4489148983 9299026003 5272616461 4759806560 7193158331 (John Gamble, k=16265)
11 0395901571 7636384390 8029757162 7810857934 2954875656 6505556607 (David Broadhurst, k=1)
11 0588618761 2235600624 5518021435 5603498437 1866871111 0080755077 (David Broadhurst, k=2)
11 0603539580 3798354994 8315880152 2901038959 8043842537 2126228927 (David Broadhurst, k=1)
11 0673119241 1075670321 1965244256 7797140932 7115841488 0795811293 (Phil Carmody, k=974)
11 0815629588 5035556534 3208416184 6550936468 3028954728 6248291727 (Phil Carmody, k=1127)
11 1371009821 2092710105 4406646694 5204454437 6823969500 5304461463 (Phil Carmody, k=3437)
11 1385315039 4736286880 2304720407 5829574282 5371756079 7039013967 (David Broadhurst, k=1)
11 1489933994 1372824988 9448538690 1554629386 7153598313 2616838253 (Patrick Demichel, k=43874)
11 1591426303 8678949558 1382482396 0840427258 7784898888 1239430761 (Phil Carmody, k=1780)
11 2675713559 9705495613 8408664352 9598636262 3187944270 3384031881 (Patrick Demichel, k=107140)
11 3290950292 6714703094 9583883405 9014762953 6063962118 3308339659 (Patrick Demichel, k=45553)
11 3912551459 9359180914 6184009234 3524637328 8580152538 5792894979 (David Broadhurst, k=1)
11 4071381639 6152834422 1342311549 3712761528 3442213411 7083555489 (David Broadhurst, k=16)
11 4421249507 5311374056 1286007208 3320335380 4078725573 5710976823 (Patrick Demichel, k=1392159)
11 4650167430 4238399935 6110909895 7704535393 7784216657 2138033303 (David Broadhurst, k=1)
11 5339016596 4452372633 0725859871 9289838996 7230974016 7763184171 (Norm Dresner, k=13645)
11 5586039295 4686041790 8002726092 7129646635 1738725781 3511802733 (Phil Carmody, k=946)
11 5697272682 5231419277 9769511524 1962052314 1927797683 5455146939 (David Broadhurst, k=1)
11 6541840312 6714122283 3787372844 1082652105 5413361100 6460651343 (Patrick Demichel, k=294179)
11 7330882709 7537518727 7918509119 8170977764 3441173942 7071088721 (Patrick Demichel, k=2504120)
11 7363660482 9965977679 7643947444 8936974151 0318850918 9931703379 (Patrick Demichel, k=91339)
11 7409380317 8690471699 3720636268 8813764157 0682750055 7674867409 (David Broadhurst, k=8)
11 7830520818 3016295190 0573861024 0487910741 6927375951 1827551851 (Patrick Demichel, k=1040425)
11 7955319793 2787559062 3466903799 6881165297 8531222189 3408132877 (Phil Carmody, k=1586)
11 7993341058 4961651876 3550653246 4470476336 8005743383 9050114407 (David Broadhurst, k=1)
11 8011930913 9778712901 8269767253 0154594325 8013040939 6747763413 (Phil Carmody, k=3106)
11 8152210740 2319609319 8724308320 6608192219 4631676893 1293265691 (Patrick Demichel, k=511805)
11 8227169685 1111190022 1700620122 5567656566 4456762448 9239631447 (David Broadhurst, k=1)
11 8309099306 2587158791 9172776099 6820258244 3578171558 1652629917 (Patrick Demichel, k=1362602)
11 8579413992 4547813415 4107720848 5798276413 7634883548 8177001693 (David Broadhurst, k=2)
11 8610426851 7750945853 4553317472 5278407102 0006964959 5808439653 (Phil Carmody, k=2686)
11 9225150281 1220160012 2426852684 3735287798 3998775719 5506412367 (Patrick Demichel, k=325727)
11 9541537737 6266680228 3733319771 6266680228 3733319783 5808217967 (David Broadhurst, k=7)
11 9976775777 0185815717 2653601581 6593647493 5206337994 4771711557 (Patrick Demichel, k=236998)
12 0048479214 9962265597 1877683153 3108643455 6060803084 8090644567 (Patrick Demichel, k=71831)
12 0812897196 3452583204 1454959081 6386924064 9366504076 6141356213 (Paul Leyland, k=33394)
12 0914421582 0841813530 6647746328 5921808418 1353066465 3718437637 (John Gamble, k=14926)
12 1901305234 6283560208 1262311046 3697536930 8611286706 1793805837 (Patrick Demichel, k=28482)
12 2148541586 8994359973 7224927786 5259349763 1914244194 0485006361 (Patrick Demichel, k=2307460)
12 2329169906 1202300704 6130730530 8877623694 5382860339 9624986653 (David Broadhurst, k=14)
12 2943546619 7328380310 3521855126 6621736494 1095273218 5225921041 (Phil Carmody, k=520)
12 2963897927 4961553592 5038446407 4961553592 5038446419 7925451521 (Phil Carmody, k=640)
12 3481344639 3363647037 3424419550 6245046632 4403947437 5341757293 (Patrick Demichel, k=306862)
12 3616730092 6788015944 4109535600 4122034530 9312120190 6685709971 (Patrick Demichel, k=1840215)
12 3677507670 5098415790 7129050486 4650377448 8852663461 6503954499 (Patrick Demichel, k=348413)
12 4135183314 7516671407 3845972412 3303953906 3011799657 0172330059 (David Broadhurst, k=1)
12 4220415576 9229282556 7977455924 8201806136 8821382994 4337294521 (Patrick Demichel, k=2867420)
12 4589987464 7058948915 6568256117 6111247404 1613186951 2166281487 (Phil Carmody, k=1531)
12 4716331500 6087252638 3912449076 2722037230 4546458966 0186339383 (Phil Carmody, k=2711)
12 4783926382 9691766176 0992735334 5082036415 6715723393 5015956131 (David Broadhurst, k=5)
12 4978313370 4570007959 9639437324 1457276720 9072876084 3179572049 (David Broadhurst, k=8)
12 5013958373 0980811724 3926135230 9600705027 2407499009 8070890623 (Phil Carmody, k=239)
12 5205814649 0601001894 4507843338 3127592207 1730306908 7715370783 (Phil Carmody, k=249)
12 5263942574 1685775986 8754376855 6468739998 0921161928 7512063251 (Patrick Demichel, k=187625)
12 5369174284 0032184849 7889184442 7876323904 0610197440 5880293459 (David Broadhurst, k=51)
12 5483395826 8496115099 8143142403 8184781437 0291744895 3320413971 (David Broadhurst, k=15)
12 5991616405 3870102771 9930401723 3265501874 5354270831 4596433209 (Phil Carmody, k=1628)
12 6450665850 2984363944 1381858479 1241494356 7233942064 0435978011 (Paul Leyland, k=31995)
12 6769064898 3111030425 5163873486 2321692477 7284969653 7151521757 (David Broadhurst, k=2)
12 7654566749 6313995184 5178784175 8605065676 1057665068 2023348133 (Phil Carmody, k=802)
12 7654596135 4041571916 2460862028 1709262326 2695676443 1112827887 (David Broadhurst, k=1)
12 7798985569 0991956520 8937349278 9891218268 4817197709 6294021693 (Patrick Demichel, k=242102)
12 8076987898 4141847950 9715625164 4201283271 5779060715 0139315529 (David Broadhurst, k=68)
12 8979228191 8054607404 2740054914 1566362616 3337049985 3730562773 (Phil Carmody, k=1306)
12 9119842628 8549940838 7051556400 5333603421 6700672249 8988527007 (Patrick Demichel, k=903777)
12 9366579705 1326898600 4783315871 8266217413 8092245852 6506692729 (Phil Carmody, k=644)
12 9964876138 4333714173 1332477471 6897682700 6628268903 0145228169 (Patrick Demichel, k=207036)
13 0545384714 0255532646 7383158696 6339997444 6735326155 3584951887 (David Broadhurst, k=7)
13 1045602051 5247528786 8520817352 8746712025 8071461322 9802916943 (Patrick Demichel, k=1324327)
13 1059347962 8211949924 7317637520 4945834953 6714843883 6895919653 (Patrick Demichel, k=6754)
13 1076002156 4994043926 0418097978 3739309720 4888754261 2896094207 (Patrick Demichel, k=2432423)
13 2027801819 9345862860 3511867456 9027184851 8864068752 9950486973 (Phil Carmody, k=214)
13 2181555457 3618686263 0159668141 6115544767 3120926338 5331879291 (David Broadhurst, k=65)
13 2412079298 8019601803 8427545498 1988088185 1009698886 5918445051 (Phil Carmody, k=3775)
13 2537100979 7154605565 6271048523 4275563837 8060455387 3882879487 (David Broadhurst, k=17)
13 2715700202 0179666106 7147575790 8831942716 8351869202 2154785487 (Patrick Demichel, k=5921)
13 3222921249 2910342985 7793219339 0968843054 7334253343 1503147729 (Patrick Demichel, k=204968)
13 3766887309 9675098382 7506606509 5117495907 2394228234 6152229769 (Phil Carmody, k=196)
13 4053707594 8580224303 1419775696 8580224303 1419775710 2633931899 (Phil Carmody, k=653)
13 4215117849 0135896820 9085201497 6363476225 2707402128 3567754357 (David Broadhurst, k=22)
13 4967441761 0925906702 0275667844 2864515533 2521501315 9215701811 (David Broadhurst, k=45)
13 5189663887 5241747300 2538156858 3582649759 7915743610 5532038571 (Patrick Demichel, k=525715)
13 5861672653 2792313865 6048975778 2211727575 1421360128 1750949117 (Patrick Demichel, k=734562)
13 5895010915 6320869441 9477868210 9902095986 6734125949 4461039211 (Patrick Demichel, k=25945)
13 6180544634 0702509466 5806939491 2856280508 2933123382 1748713877 (David Broadhurst, k=2)
13 6706079705 6305845556 0203031168 1606589304 0444624499 7461102481 (Phil Carmody, k=360)
13 6903078137 5440894984 2165759507 5779554408 9498421643 9047679659 (Phil Carmody, k=141)
13 7022759343 8655289357 3124701094 9161276169 0412363478 9384081647 (Phil Carmody, k=367)
13 7039333920 8903916875 8796337987 8953577627 4979078689 5828543211 (Patrick Demichel, k=885835)
13 7047922555 5170855690 4829144309 5170855690 4829144323 2218778247 (David Broadhurst, k=1)
13 7767321231 5842037762 8488006662 3687497904 9429421960 4169582619 (David Broadhurst, k=1)
13 7811135355 6464309628 2762668458 4244815087 0492434600 9035453139 (Phil Carmody, k=1011)
13 8774964554 6884428078 6986100587 0958530790 0198953306 8117059567 (Patrick Demichel, k=330347)
13 9331288851 2608842363 9973779651 4844195853 7890246029 3955633277 (David Broadhurst, k=38)
13 9453604471 1589411962 4119034605 4317124540 9096502412 8321542567 (David Broadhurst, k=1)
14 0426687338 9109522508 8950159959 0942191831 6041793411 1870086167 (Phil Carmody, k=4397)
14 1416766850 5039794355 5983254588 3817104424 6444422946 1844111367 (Patrick Demichel, k=2814307)
14 1756556165 2475247524 7524752475 2475247524 7524752489 4231803691 (Phil Carmody, k=1115)
14 1758587665 4565843105 8088398802 1882671602 7989967251 1388438997 (Patrick Demichel, k=555706)
14 2039131685 9147948806 9622425923 2649553678 6076801592 5940856703 (David Broadhurst, k=49)
14 2718357888 1958966742 8293949311 2800015250 1174759401 3513880127 (David Broadhurst, k=1)
14 3069050832 4477096858 5502653868 4444115292 1259943226 0712415961 (David Broadhurst, k=20)
14 3328494972 1428418153 8571581846 1428418153 8571581860 4756913127 (Patrick Demichel, k=2869891)
14 3341839144 0963924760 8301146998 3265907395 3805813028 1218967001 (Phil Carmody, k=1500)
14 3894261531 0320050397 5839055822 0938317211 7001462007 2564749499 (David Broadhurst, k=1)
14 3942988050 0574502583 2845418917 9458964734 6789642011 1213187841 (Patrick Demichel, k=343680)
14 4428095755 0969695579 6895097168 7089135432 7565695965 0830057863 (David Broadhurst, k=71)
14 4781919866 7759160668 7574510592 7536707648 2457109480 2682790007 (Patrick Demichel, k=148967)
14 5171799354 1836448777 2113265163 3433236632 9695107481 2901657729 (Patrick Demichel, k=309568)
14 5354052194 3774462043 1516440105 5609764437 8475231484 5270049721 (Patrick Demichel, k=25740)
14 5426546883 6107932019 6061095120 4638878210 7942996452 9822551299 (David Broadhurst, k=1)
14 5622838603 0122283559 4630701199 3990101222 8355946292 4497101299 (Paul Leyland, k=34461)
14 5787704302 1400764223 2823071570 2049239866 8965125629 2442729081 (Phil Carmody, k=4660)
14 6053468015 0704100301 3952804843 3376710592 8874415948 4799877899 (Patrick Demichel, k=2579863)
14 6306764572 2116090451 7913483096 9948434734 7687792694 0645548487 (Norm Dresner, k=11911)
14 6480171305 0218661965 8400897505 9363756460 0769238267 7843076607 (Patrick Demichel, k=5231)
14 6558091421 0348834456 7580983682 7071351552 9794590792 0868257637 (Phil Carmody, k=4318)
14 6827412904 5908459056 6289582104 2729693347 5387734594 2857117979 (David Broadhurst, k=1)
14 6986433804 1458163925 1095710506 8952235595 4291131956 1962876733 (David Broadhurst, k=34)
14 7371043263 6257755557 8614766494 2772001505 1196857795 0454242037 (Patrick Demichel, k=155846)
14 7606212727 8541692694 5893982417 7986805961 6338833377 3632472807 (Patrick Demichel, k=1532777)
14 8768496638 2654348744 0308774071 5695859712 4925439090 0008936973 (David Broadhurst, k=2)
14 8775495461 8734750514 4433017346 7823939794 8801688211 4461411687 (Patrick Demichel, k=137281)
14 8794630642 1127296048 2814585951 6790206695 9892860797 9373731917 (Patrick Demichel, k=44102)
14 9442236829 9452716797 9916115052 6255081762 2956286381 3339512957 (David Broadhurst, k=2)
14 9511869912 3262429781 1281511730 7710873209 7921299445 1760889223 (Phil Carmody, k=759)
14 9845625892 9581846210 7489599317 7821781512 0513867347 5062610131 (Patrick Demichel, k=62085)
15 0309512091 7410138167 6401729900 6806042091 7213730824 5222246609 (David Broadhurst, k=8)
15 0379150093 7986022929 7986022929 7986022929 7986022914 7606872837 (David Broadhurst, k=2)
15 0788036438 9739318468 9086923999 6328235940 1486442449 0145333613 (Phil Carmody, k=182)
15 1470385819 3010473924 6182952772 1216930466 9268593650 6718814761 (Phil Carmody, k=4460)
15 2125054260 9966424841 6615313414 9484293635 1301170965 4321404731 (John Gamble, k=17435)
15 2761996021 0801980692 1641406273 1109795869 9482041219 5863272899 (David Broadhurst, k=21)
15 2975014396 9829880299 6440786332 0724698298 8029964392 5658192851 (Phil Carmody, k=1575)
15 3902836540 0117420548 8238377415 5299506531 1519187725 3303021813 (David Broadhurst, k=2)
15 4367111349 7866702748 7003765296 7564378328 1416503868 9559316171 (John Gamble, k=15235)
15 4900029431 6029752872 0659259531 9620237618 7555083898 3321044093 (Phil Carmody, k=734)
15 5040206644 4566993900 5421835316 5056682410 4237090666 1610109767 (Phil Carmody, k=247)
15 5258913618 9458960575 4941708015 5558246295 7996413283 5549215211 (David Broadhurst, k=95)
15 5298130378 2715202325 5360087842 9459752491 5592336607 4075599997 (Phil Carmody, k=1322)
15 5425180626 4885001441 1379708983 2005740755 4475195710 0203156209 (Patrick Demichel, k=366008)
15 5667700369 7719223647 1501375097 3536888239 1260026045 0737346047 (Patrick Demichel, k=487513)
15 5973593031 8801287104 3285866187 6299498448 5657873324 5730438281 (Paul Leyland, k=39860)
15 6081997580 0274835926 9796145505 7242146376 9130852265 3529595921 (Paul Leyland, k=37240)
15 6417314936 2959674218 2561267843 7541347525 0290351493 4510486773 (Phil Carmody, k=894)
15 7267360113 0791708992 2964135336 4169190232 2092269659 3931184379 (Patrick Demichel, k=1655171)
15 8072643778 6909033977 2115625580 5121552404 7337198080 3404964059 (Patrick Demichel, k=1189783)
15 8145957966 4783733378 2720273499 9147993291 8792372641 4658578969 (Patrick Demichel, k=2574356)
15 8913469582 2795931037 2883239951 1837882504 7649183361 9627103343 (Patrick Demichel, k=9109)
15 9045100949 4093462953 4629400603 6865506924 5335109969 4197805703 (Patrick Demichel, k=564369)
16 0103700433 4577915953 6891776730 2927860214 1840113712 4102091921 (David Broadhurst, k=40)
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