Factores primos de Gúgolplex + 10 con 52 dígitos

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Teoría de números
Factores primos de Gúgolplex + 10 con 52 digitos

Esta es una lista de factores primos de 52 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 0246044851 2346559692 6953002460 4485123465 5969269521 (Patrick Demichel, k=9240)
10 0293529604 7543348621 3193217959 8071570139 2722230613 (David Broadhurst, k=2)
10 0926325118 3082336722 9839086542 6269960072 5464947361 (David Broadhurst, k=80)
10 1110765475 5125113911 6181363307 8339287499 7120021289 (Phil Carmody, k=4596)
10 1261124046 8715924456 9598972162 7917956487 4879799099 (David Broadhurst, k=1)
10 1613946408 0012440783 7034738402 2421901419 3686647503 (Patrick Demichel, k=25481)
10 1627082643 0058784726 2669624664 2572602916 0517679499 (David Broadhurst, k=1)
10 1937193045 1660905367 0482601159 8204011029 8417082371 (Phil Carmody, k=165)
10 2387790953 1583787011 0235567493 0352492634 5440361899 (David Broadhurst, k=1)
10 2670154265 0973253238 4664166386 0598648687 4398254161 (Phil Carmody, k=120)
10 2773010164 0243581370 5832854863 8942540140 2141403007 (David Broadhurst, k=13)
10 3371999073 7158702188 9919636110 4289841706 5438022693 (Phil Carmody, k=1734)
10 3372876663 6726095913 2459448641 2160743621 7099016969 (Norm Dresner, k=10316)
10 4172456448 5071552035 4940294454 1714183357 9488967569 (Patrick Demichel, k=354376)
10 4230934340 5202408593 5988521341 4277767657 2816213379 (David Broadhurst, k=11)
10 4386662727 9012772335 2321584685 1712848077 7414617013 (David Broadhurst, k=2)
10 4722085552 5723169496 3821738129 9464348140 7858729117 (David Broadhurst, k=2)
10 4940687233 4886071899 2706180084 1631715394 5835345379 (Phil Carmody, k=561)
10 5045133716 7187283786 0119376440 9317555019 4310625689 (Patrick Demichel, k=297716)
10 5091251333 2827181131 8165286415 7133220931 2081099449 (Patrick Demichel, k=92956)
10 5493596455 2708608217 5089878031 8717840936 2954844783 (Norm Dresner, k=11129)
10 5608672477 0969351582 8968453458 9718728575 1376860317 (David Broadhurst, k=2)
10 5853481042 9103288773 0172095104 4550560437 3384504969 (Patrick Demichel, k=995516)
10 6189587592 8490178908 7667163380 7304127507 2137560487 (David Broadhurst, k=1)
10 7175554192 8452139189 9603966365 6875959093 1234055727 (Patrick Demichel, k=1101271)
10 7421344393 8707529480 2013997020 5286567964 6895764383 (Patrick Demichel, k=7237)
10 7794208860 9096678988 5652207820 7398355240 3579889881 (Patrick Demichel, k=239660)
10 7829937503 9229997879 9351030555 0491559630 8877223127 (Patrick Demichel, k=88511)
10 7830110520 7848043105 6373057004 4735526506 5085645213 (Patrick Demichel, k=2376346)
10 8409154552 1263434344 9515254454 1096122536 4435147887 (Phil Carmody, k=967)
10 8636276115 5198269066 7566743162 6571457532 8387694573 (David Broadhurst, k=2)
10 8641863427 4134367138 0431249387 6470276623 7696456121 (Phil Carmody, k=260)
10 8891175764 4553092874 2596355025 6542745110 9608307207 (David Broadhurst, k=1)
10 8900153753 0353867613 0067716743 2601131280 3987128409 (David Broadhurst, k=4)
10 8970344693 3355834050 0059598984 5549537766 0431768167 (David Broadhurst, k=1)
10 9078599388 7941850529 4003691474 3844753824 2565699641 (Phil Carmody, k=940)
10 9110716786 2365895930 0573800198 0769532749 8683914819 (David Broadhurst, k=13)
10 9459880947 0472601412 2907433999 0166030392 3399671841 (Patrick Demichel, k=111920)
10 9526117573 6174169312 6347993989 3143625708 0860626659 (Phil Carmody, k=2903)
10 9573630520 6189960317 4268600679 2557766842 5537447619 (Patrick Demichel, k=44119)
10 9603962523 5795159042 2222604365 5184352854 9363617957 (Patrick Demichel, k=2532162)
10 9750086932 4313882471 8515829637 5160853363 1208819277 (Patrick Demichel, k=456338)
10 9914643283 4398933912 5601730779 2422977899 0995047449 (Patrick Demichel, k=1798228)
11 0014042066 6269510006 8742299859 5793337304 8999312567 (Phil Carmody, k=2347)
11 0124044293 1535052455 8830954957 7145237593 6925653969 (Patrick Demichel, k=57544)
11 0299626977 1362374222 5332886851 3873954849 3777777413 (Paul Leyland, k=36934)
11 0577717821 4812925151 2544334973 1163088867 4584642691 (Patrick Demichel, k=2910355)
11 0648106479 3318005950 3510351434 7087407675 5566357023 (David Broadhurst, k=1)
11 0796483498 2776578894 4511786365 1735293812 1381820677 (Patrick Demichel, k=230682)
11 0935258980 7157950782 8488710670 3715412389 1449393533 (David Broadhurst, k=2)
11 1068137379 5511037728 1193273405 4868817243 5215445841 (Paul Leyland, k=39640)
11 1289649674 8733580383 9700621987 4058396426 7129306087 (Patrick Demichel, k=379543)
11 1369207095 2729242223 4730766100 5511749073 6319695557 (Patrick Demichel, k=679226)
11 1475085144 8003607442 2230972183 8805609312 6257910699 (Phil Carmody, k=1361)
11 1543284544 8456715455 1543284544 8456715455 1543284557 (David Broadhurst, k=2)
11 1546682591 6746321725 6842217322 6449260598 1679288927 (Patrick Demichel, k=139891)
11 1550291278 3152145586 7644843439 7050213538 6057051601 (Paul Leyland, k=38200)
11 1631894606 2513311411 3928716318 9460625133 1141139277 (David Broadhurst, k=38)
11 2277660640 8776473006 8749264794 7110127291 2843295321 (David Broadhurst, k=20)
11 2908322610 0187953200 5129739051 3520126931 4920524863 (David Broadhurst, k=7)
11 2926603685 0885931635 2262074280 7067813911 7209114659 (David Broadhurst, k=1)
11 3017512447 5746352205 8585856294 7402229006 3426400601 (David Broadhurst, k=100)
11 3163629402 5660137683 0599008161 6641664134 8259612939 (Patrick Demichel, k=123171)
11 3183398788 4443456864 3710626661 0118914490 5985177601 (Patrick Demichel, k=25600)
11 3857945938 9179822179 6853398964 6460233597 9206454887 (Patrick Demichel, k=286541)
11 3980265318 4646883053 3430204600 7908497934 6135010091 (Patrick Demichel, k=61415)
11 3991218620 9230415608 0754659081 4808453318 1731858527 (Patrick Demichel, k=1745247)
11 4534360438 0892556351 1083338134 9168671512 6904099383 (Patrick Demichel, k=2390579)
11 4690615313 7250210274 5244283141 2201851998 6122435459 (David Broadhurst, k=1)
11 4883087466 5938124379 2144131957 0434042507 4125304557 (Phil Carmody, k=2318)
11 5210240627 0443256239 0638277116 6381998371 0971088757 (David Broadhurst, k=2)
11 5241069178 3229802004 4926010389 6194257834 5082952173 (Patrick Demichel, k=23394)
11 5352091933 1311134438 0366566139 7115939700 3353320703 (Norm Dresner, k=10067)
11 5412549032 0148072232 7584081781 5773155486 1088705619 (David Broadhurst, k=83)
11 5440349916 3663491949 8255610893 7211353050 3064183143 (John Gamble, k=17159)
11 5467601503 2735568019 5813696108 8078761218 7519236611 (David Broadhurst, k=5)
11 5497280823 6800761183 0087166407 2239190439 8102873863 (Patrick Demichel, k=6759)
11 5669479056 6090325861 4309249809 2744745600 8064263401 (Patrick Demichel, k=910900)
11 6380662058 8474687075 7232038019 0161903920 5023890931 (Patrick Demichel, k=26535)
11 6457155855 9878137985 8315300749 5782882930 0984582397 (Phil Carmody, k=146)
11 6509694607 8982681032 3699994201 0773484269 5870114699 (Patrick Demichel, k=127161)
11 6712763123 8158191946 7724871437 6638350433 7847339317 (David Broadhurst, k=2)
11 6801119180 8810205951 8314974492 3872720865 7566833157 (David Broadhurst, k=2)
11 6871685771 8092360144 7710988155 5502359326 9947396929 (Patrick Demichel, k=68256)
11 7075434876 9247125478 8931160158 8571721813 5767761729 (David Broadhurst, k=96)
11 7125382704 1760093344 0585711927 4960022816 4350704289 (Phil Carmody, k=1424)
11 7154789098 1229764248 4505934745 0976549757 3714310681 (Patrick Demichel, k=1944060)
11 7327001210 3797190087 8851373204 0127637905 9015388437 (Patrick Demichel, k=56306)
11 7412544066 6965692623 8161587517 2111317311 6449100973 (Phil Carmody, k=4354)
11 7693371623 9028957506 9250143231 2162020614 0003935961 (Patrick Demichel, k=75420)
11 7790201119 9475710368 9073145847 2981867480 4208092281 (Patrick Demichel, k=127660)
11 8031998853 1816616311 8871960128 3461894110 2362985131 (Patrick Demichel, k=48135)
11 8224847181 0585959672 1487264551 9961940940 8712831917 (David Broadhurst, k=2)
11 8924894672 0181998439 7520894863 1569296619 6845818013 (Patrick Demichel, k=42506)
11 8950244038 9197517498 1805196235 3295700418 5849778237 (David Broadhurst, k=2)
11 8956261903 8242018862 5645487477 5804721592 9444991087 (Phil Carmody, k=641)
11 8983978470 8878735730 9565495807 0067131219 5566624943 (Patrick Demichel, k=26707)
11 9112618269 2685187310 6761531814 7758067540 4662208293 (David Broadhurst, k=26)
11 9191347396 4181237764 2940598360 4134788498 3609823093 (Patrick Demichel, k=5506)
11 9276134009 1858183207 8096276352 7212651004 1698423863 (David Broadhurst, k=1)
11 9681272700 3536053659 3959239665 2793530284 2991833299 (Patrick Demichel, k=717151)
11 9982008134 4221665843 3178864136 5582221739 9811332157 (David Broadhurst, k=38)
12 0228200979 1545043816 4213004837 7593280904 6236540339 (Phil Carmody, k=1361)
12 0239588321 5693301827 6316169098 8823201471 1921141931 (David Broadhurst, k=5)
12 0435202387 4344825806 2970885215 2152424311 4494310561 (Patrick Demichel, k=259920)
12 0591102237 3371207071 8716820105 2377892304 1894438837 (David Broadhurst, k=26)
12 0747314505 1214748537 1984651234 7074355909 0477563597 (Patrick Demichel, k=5402)
12 0918271763 2570270148 4011524691 6520057328 9779238063 (Phil Carmody, k=539)
12 1109977765 0624014898 0160609754 5065142636 4780619573 (David Broadhurst, k=2)
12 1207236168 7228908385 3243332385 0828872168 3607212013 (David Broadhurst, k=2)
12 1335835151 7423106139 0201445549 9967361916 6682007329 (David Broadhurst, k=16)
12 1495610508 6346158285 6323922995 6733839517 9771384481 (Patrick Demichel, k=6960)
12 1561434296 4150836947 1662244158 3121890313 4049048819 (David Broadhurst, k=1)
12 1942943657 5616596207 3314005119 5141988409 5501635853 (David Broadhurst, k=74)
12 2020018902 6317586899 6038068287 6730963576 5602029409 (David Broadhurst, k=16)
12 2333995624 0308384310 2476206330 7584125579 3467223493 (Phil Carmody, k=1634)
12 2369969534 5846578366 3307514055 9083942882 5787747059 (Patrick Demichel, k=138031)
12 2432309464 0712603867 0521527947 7611407720 4977484371 (Patrick Demichel, k=88495)
12 2556195445 0686512662 9495181485 2343723025 5058816047 (David Broadhurst, k=71)
12 2744836348 8226503652 1406238746 2140644133 6592888219 (Phil Carmody, k=1709)
12 2879540511 2258161720 9805079791 4210485131 4180066167 (David Broadhurst, k=1)
12 3065220416 2953028386 0627373111 1547395813 7936543557 (Patrick Demichel, k=1751858)
12 3443214369 3500351408 9564192981 3166315245 3659259317 (David Broadhurst, k=26)
12 3562538975 5395064383 4566035625 3897553950 6438345649 (David Broadhurst, k=8)
12 5041526697 8531713171 9053330096 5418789301 1954640721 (David Broadhurst, k=40)
12 5067984610 5165631930 3548857426 8838570454 4291624693 (Patrick Demichel, k=54082)
12 5284036252 8158375577 7519342711 5037423383 5583692437 (Patrick Demichel, k=2174842)
12 6096585541 3391239109 5198800107 3487488639 2486541773 (David Broadhurst, k=2)
12 6100140648 2608218569 4614662964 4681278512 2298729597 (John Gamble, k=16406)
12 6329498259 5917545887 2956092798 8946832131 7261955291 (Patrick Demichel, k=112115)
12 6398416943 7792839254 5362560370 0741046425 8509970717 (David Broadhurst, k=2)
12 7089374146 2479131229 2484195772 9252041875 3543741813 (David Broadhurst, k=2)
12 7112254890 0241456303 2107532639 9376739866 0398408653 (Phil Carmody, k=826)
12 7398915503 7497176075 4253377159 9617606683 9010702343 (Phil Carmody, k=161)
12 7569856032 1601614318 8180461870 7160223372 2228643653 (Patrick Demichel, k=75142)
12 7685515067 7348400287 7527542879 0466646250 1944644447 (David Broadhurst, k=1)
12 8044746240 8300600536 4573154677 0788526075 5778156401 (Patrick Demichel, k=7400)
12 8230055731 7737455285 1027290410 3144103901 3392032521 (Phil Carmody, k=3340)
12 8244827862 5333254929 8551166305 6606018995 5143279771 (Phil Carmody, k=3665)
12 8314680677 2371434543 3369124889 2735884321 7349274333 (David Broadhurst, k=26)
12 8393030289 8137340618 4462358576 4843430876 7504563943 (David Broadhurst, k=37)
12 8576115591 3146418764 1709637936 1272836915 1028948121 (Phil Carmody, k=740)
12 8622887704 3302603362 6343164000 3138862661 2093368407 (David Broadhurst, k=11)
12 8915480162 5115540231 4924943700 2561705700 8568603783 (David Broadhurst, k=1)
12 9102152234 2874085276 5061069819 0730127857 1285345731 (David Broadhurst, k=5)
12 9123274560 7429163641 7698738492 1825547074 2432697677 (David Broadhurst, k=2)
12 9278335054 6667331704 6766247707 4262761291 6964718169 (David Broadhurst, k=28)
12 9423538078 4602684837 0973012917 3177882015 6591936663 (Patrick Demichel, k=253599)
12 9574390467 5337784477 4306540212 0750030209 0226686001 (Norm Dresner, k=11000)
12 9812772503 9483837531 6173831953 5757735242 9254968331 (Patrick Demichel, k=8155)
12 9919459690 9271113387 9353398194 7052572187 5157118609 (David Broadhurst, k=8)
13 0114715781 3449324430 4033320409 1859979878 0949463557 (Phil Carmody, k=3722)
13 0424141576 6893578311 6945732410 3722479880 4275806167 (Patrick Demichel, k=1333377)
13 0681552682 0183926814 9627561858 4922876535 2322441299 (Phil Carmody, k=151)
13 0827959835 4172145342 2705064775 4669939207 0757822157 (Patrick Demichel, k=311042)
13 0859323572 6567844214 3107955377 3304865331 6385996317 (Phil Carmody, k=242)
13 0862109250 1197287580 7121029358 1792705942 5006854929 (Patrick Demichel, k=44056)
13 1035548711 2980871124 6829124349 1835929582 4951413087 (Patrick Demichel, k=241231)
13 1100564359 3745112565 7710851009 9166581145 9027498413 (Patrick Demichel, k=24374)
13 1232604081 3358778497 7672579113 4366844199 8820439517 (Phil Carmody, k=1546)
13 1326508257 6684096274 9910113265 0825766840 9627499089 (David Broadhurst, k=8)
13 1652093218 1320815358 4730039305 9032382209 8416185047 (David Broadhurst, k=1)
13 1681335620 7580804051 1435592603 3264000636 9371600409 (Phil Carmody, k=988)
13 2057080843 1211138667 4436431200 0292830904 5010457543 (Patrick Demichel, k=21547)
13 2097131085 4001532714 9223200766 7105478341 9786679219 (Patrick Demichel, k=139811)
13 2556167137 7913422303 4250693720 8901841317 3462229379 (David Broadhurst, k=1)
13 2954764796 5482186925 7248780602 1703329339 9140839691 (Phil Carmody, k=665)
13 3323859761 3809798580 4103380900 7962974068 3389915249 (Phil Carmody, k=248)
13 3523612768 3930466058 0580166080 9442143668 2922668397 (David Broadhurst, k=2)
13 3526320771 9765575704 9571253698 5572308122 9790705769 (David Broadhurst, k=76)
13 3853544867 1867960428 8470972148 6157842138 0255741011 (Patrick Demichel, k=6835)
13 4126319698 3825209127 0072586551 2462986750 6179564527 (David Broadhurst, k=1)
13 4150018491 6453436054 0344977638 3485556996 5845013597 (Phil Carmody, k=102)
13 4548685698 9362522229 5392856559 8044661835 3703265583 (Paul Leyland, k=35429)
13 4833310515 7251617107 4929154920 4595965165 6914219339 (Phil Carmody, k=119)
13 4898206865 9578092639 4320712993 1377153892 1736326687 (Paul Leyland, k=33017)
13 4940909881 9990828925 4333694453 6483744952 8388088369 (Patrick Demichel, k=188248)
13 5060831374 4173530195 1000315072 5962444884 9932812487 (David Broadhurst, k=1)
13 5071254201 6424753510 9860369477 6944549021 0967366459 (David Broadhurst, k=1)
13 5077992786 5542774590 2245520563 5711402150 0412208887 (David Broadhurst, k=43)
13 5192508565 4492908551 9299048074 9143455070 9144806997 (Phil Carmody, k=422)
13 5472226055 9806296446 1590494288 8648937629 5687955459 (David Broadhurst, k=1)
13 5522928248 3349442732 8059479218 8346427323 6467538339 (David Broadhurst, k=13)
13 5618198329 4847520494 4084074712 3256482419 1039990041 (Phil Carmody, k=140)
13 6198296549 2767859816 2204310406 7483307660 4883056853 (David Broadhurst, k=2)
13 6217441425 2115111552 0176012356 8140317601 5810293783 (Patrick Demichel, k=45399)
13 6323380226 7913408297 3542186268 6470110534 7136723689 (John Gamble, k=17796)
13 7363315285 3043229570 0188970083 7142438436 6419515459 (David Broadhurst, k=1)
13 7528727704 2908245214 4853309265 5684855470 3933836007 (Phil Carmody, k=4621)
13 7760317025 9884892936 9637444401 6077981278 3978837739 (Norm Dresner, k=12629)
13 7769750724 2230249275 7769750724 2230249275 7769750739 (David Broadhurst, k=1)
13 7796447752 6088678950 7737713288 9560168609 8476636117 (Phil Carmody, k=1862)
13 8466690505 4742480406 5975822621 4916447004 7199331807 (Phil Carmody, k=19097)
13 8962164590 2562168891 1430707460 4675143460 5105232133 (Patrick Demichel, k=726134)
13 9296977215 0712136383 3860827323 7596037593 5150369453 (Patrick Demichel, k=2263982)
13 9303513398 2971923234 9980963840 3741377416 9027836339 (Phil Carmody, k=139)
13 9325102572 3538423910 0108128383 4565297686 9026070693 (Patrick Demichel, k=2905466)
13 9562073143 6160027883 7978935738 2719511305 7594160969 (Phil Carmody, k=3628)
13 9852542066 7336233512 6323677227 1077262731 5861816237 (Phil Carmody, k=626)
13 9968289671 3867091132 1431915207 2103029729 2629674247 (David Broadhurst, k=7)
14 0353463370 4914061937 2652115073 5183160679 5039838047 (Patrick Demichel, k=2990857)
14 0356525956 8597189080 2549996434 7404314028 1091974487 (Patrick Demichel, k=492657)
14 0725566869 6866115246 2702579567 1806415076 2500647133 (David Broadhurst, k=2)
14 1038767823 8920206151 7884614538 6059624656 4076250441 (Patrick Demichel, k=9740)
14 1064418517 5444148739 6913919444 2795721610 3643135743 (Patrick Demichel, k=690977)
14 1691787129 1518708434 7903897226 3275776930 1064375721 (Phil Carmody, k=140)
14 1799818195 1148528916 1494122919 7074731097 6642444091 (David Broadhurst, k=5)
14 1906897850 3994628417 9377734986 6658612767 3516671419 (David Broadhurst, k=1)
14 2156694262 7811136382 7958316808 2768339260 7698168173 (Phil Carmody, k=746)
14 2267152103 8247758507 0793059324 9074924310 2543935009 (Patrick Demichel, k=203536)
14 2412449156 6709907111 1489537408 9896858942 2704779503 (David Broadhurst, k=1)
14 2433570128 4158333500 4755328501 8206019895 0446747961 (David Broadhurst, k=20)
14 2524429935 5699247137 9533260181 6153211850 1060701173 (David Broadhurst, k=14)
14 2903755838 1345741065 5136871893 1298256312 9820994211 (Patrick Demichel, k=68945)
14 2962326829 9363075177 5256161787 9680876608 5767569933 (David Broadhurst, k=62)
14 3000137898 2193076528 8370703331 9543511402 5680449613 (David Broadhurst, k=2)
14 3046919503 7487207477 1027307561 0974803017 7952876409 (David Broadhurst, k=76)
14 3075707096 8555576153 7826360753 1297082623 8950590943 (Phil Carmody, k=227)
14 3104353322 4516067101 5654285561 6328271444 4950360049 (Patrick Demichel, k=74376)
14 3181069260 7474798315 6328479590 5335341651 3300591131 (David Broadhurst, k=55)
14 3194018688 2347762221 1299486970 1709367334 9999945933 (David Broadhurst, k=2)
14 3280679249 8503018278 9179385939 4962831539 4074084979 (David Broadhurst, k=1)
14 3931759103 8038565319 3069777193 1150932548 5930177943 (Patrick Demichel, k=840437)
14 3960331242 0318466115 7492219230 5844497296 5947985373 (Phil Carmody, k=106)
14 4313673977 8071311296 9803100110 4837920837 5869554927 (Phil Carmody, k=133)
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