Factores primos de Gúgolplex + 10 con 72 dígitos

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Teoría de números
Factores primos de Gúgolplex + 10 con 72 digitos

Esta es una lista de factores primos de 72 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 0027727189 7044118820 4457914615 7279161306 4697178531 4893284729 1818999877 (Phil Carmody, k=1978)
10 0239162836 4821492504 5930402266 4844116818 0208877620 6919756521 0206923131 (David Broadhurst, k=85)
10 0289882591 4367473992 2746204195 1279211271 2426334401 1319493594 0634130573 (Phil Carmody, k=834)
10 0733531169 6027555038 5181730782 7112905346 2049040643 3461128795 5623454289 (David Broadhurst, k=8)
10 0913821005 9806613460 7089589678 2360763686 4818123588 3625164431 1188829099 (David Broadhurst, k=1)
10 1540781575 1361882472 2195303818 8220496251 0603150620 2108826119 9020988891 (David Broadhurst, k=5)
10 1794917348 9004267467 1315451486 5886409363 8827613166 3083375859 1906147117 (Patrick Demichel, k=71242)
10 2202553634 4778361824 4996540835 3024457151 4199049955 1880976610 0936780167 (Patrick Demichel, k=963707)
10 2323180957 1990315330 7377400744 3867217158 5994170660 2046824815 0738269173 (Phil Carmody, k=206)
10 2863212837 5190752739 4696879032 9070536311 9195922028 7533052938 0933414291 (Patrick Demichel, k=44845)
10 2969859769 3615357649 8598057390 3757431771 6863747342 4624435989 6540807047 (David Broadhurst, k=31)
10 3762778679 0765053197 9784181691 0781473877 6665125104 1679056408 3895440727 (Patrick Demichel, k=852517)
10 4509625014 2966122362 4605700797 5394299202 4605700807 9903924216 7571823161 (David Broadhurst, k=20)
10 4646378999 4619768242 1671408135 0429877365 4527816703 6167125299 3116777037 (Paul Leyland, k=30998)
10 5468512442 7474850880 2222222222 2222222222 2222222211 6753709779 4747371343 (David Broadhurst, k=1)
10 6393207751 1540768629 7851220987 1159476778 0484362928 5653222105 4926567979 (David Broadhurst, k=13)
10 7234962054 3356282032 0873996070 9527713016 6378585077 1173694444 9570146303 (David Broadhurst, k=7)
10 7619814005 7225652155 8023943955 2822789624 8491034104 2678830935 8592480663 (Phil Carmody, k=159)
10 8099088083 7376148179 0129265449 4737209318 0010299053 7346538495 8968118077 (Phil Carmody, k=1726)
10 8560607538 5340727604 4136543209 4173634657 8394209482 0660732604 1870076259 (David Broadhurst, k=31)
10 8562298618 2284946403 5751557122 4248442877 5751557133 2810741495 8036503527 (Patrick Demichel, k=246041)
10 8567203737 1870271640 7507237935 2713398717 8042497081 0636723282 1103454899 (David Broadhurst, k=1)
10 8624890473 3180417010 0154557541 0925457766 4730521346 2346641146 7310781943 (Phil Carmody, k=469)
10 8753306815 9214694113 0463768576 7911403230 7562789677 9599257349 2603266567 (Patrick Demichel, k=502363)
10 9334011728 5581130489 7066168967 1099396367 7731621719 2097288182 4646012637 (David Broadhurst, k=26)
11 1267954887 0168848715 8071387888 9042636836 1419085941 6609821353 2814203761 (Patrick Demichel, k=43960)
11 1593617088 3203980567 2234323047 9517894053 2611687828 4161543586 9651711047 (Phil Carmody, k=147)
11 1870256244 5384209840 3359576185 7222177650 7786422343 6106227484 2445768247 (Phil Carmody, k=341)
11 2473503130 5102123170 1568360365 5570447404 6454706581 4472143483 0547432287 (Phil Carmody, k=1643)
11 2650878956 4120495290 8778525822 5999930442 6867742319 4476835588 3469227933 (Phil Carmody, k=174)
11 2856623156 4095280877 3726388968 8636300503 8572897357 7137255701 3310264047 (David Broadhurst, k=1)
11 2950241240 6622840597 3177068624 6822931375 3177068635 9773172615 9799909223 (David Broadhurst, k=1)
11 3634295116 4814779951 7969193115 7209589267 2676768708 1895281199 1099641693 (Phil Carmody, k=19094)
11 3943488165 8062251369 6509373362 8951765817 9956761098 2755351152 6487675689 (Phil Carmody, k=4588)
11 4061538716 7195120928 8057651729 1942348270 8057651740 6003886987 5252772659 (David Broadhurst, k=1)
11 4794594818 6480457192 7623159306 7254952213 5990058038 2954259549 0559084527 (Patrick Demichel, k=870863)
11 5759070239 4687182351 5447154471 5447154471 5447154459 9688084232 0759972121 (Patrick Demichel, k=471820)
11 5945771040 5993736169 4808093270 9153767394 8512310246 0560995760 3100637047 (Patrick Demichel, k=154417)
11 6718850700 0976628655 8461898775 8461898775 8461898764 1743048075 7485270121 (Patrick Demichel, k=302940)
11 7184398585 5412333257 7038114038 1198875870 8533155006 1275441912 4235730099 (Patrick Demichel, k=112401)
11 7243810260 7458361005 7752514257 3057124365 6744548484 3932585189 2707197571 (Patrick Demichel, k=682435)
11 7534288880 6268846206 6044971589 7707633362 9907180800 9017814181 2950382851 (Patrick Demichel, k=1285075)
11 8021871879 8140412196 1332738183 2737378619 1826280675 8385563552 6003255721 (Patrick Demichel, k=106340)
11 8200401147 1803220728 9516324187 0483675812 9516324198 8684076960 1319544917 (David Broadhurst, k=2)
11 8712748529 9963936057 6707278591 7013713242 7983990339 3989887913 5088272241 (David Broadhurst, k=40)
11 9439366206 0560633782 0000000000 0000000000 0000000011 9439366206 0560633783 (Phil Carmody, k=109)
11 9970411678 8824541851 6903446172 3125484452 2878318758 4192844871 1510717171 (Patrick Demichel, k=80015)
12 0001200012 0001200012 0000000000 0000000000 0000000012 0001200012 0001200013 (David Broadhurst, k=2)
12 0397656130 0956463864 9740816126 8265323933 2691882700 4397671117 9972950343 (Patrick Demichel, k=91147)
12 0729437189 1228717159 0423884980 6145080820 4752829082 4105834693 4022568647 (Patrick Demichel, k=1959361)
12 1705331009 2864586801 0937214697 8250617984 3029869605 4723865474 3235961891 (Patrick Demichel, k=1847195)
12 2031995122 5969348018 0463019446 8343025054 0489186436 1730870125 8354238693 (David Broadhurst, k=2)
12 2679152860 8368164478 6437405868 9708748786 9200614914 0860482826 7550915531 (Phil Carmody, k=3905)
12 3100872353 2180595210 7306550511 4397269867 5140353789 6828513551 7712511371 (Phil Carmody, k=1195)
12 3792497952 3723488324 9487852918 4415506858 7523359798 4567868505 5210192081 (Patrick Demichel, k=70360)
12 3933327988 5919102964 1658979891 4562464946 6686512004 0537702411 3495777721 (Norm Dresner, k=13420)
12 3933954985 5200390033 3894649109 8198996011 6075953404 6795856759 1241180367 (Patrick Demichel, k=979307)
12 3943771749 6459076773 0755917214 1548719341 7816852429 6981702822 6433353597 (Patrick Demichel, k=6266)
12 4232317463 2719449032 5477290970 3593770795 3662127487 7591991201 7087360317 (David Broadhurst, k=2)
12 4339524267 7263190618 2801631853 0484119355 4819417500 4437957321 0224693687 (Phil Carmody, k=1913)
12 5989506340 6770654511 1245253747 1475451569 8537879089 2068925409 5730511139 (David Broadhurst, k=91)
12 6641756681 3647346112 4514765361 9313999340 4605337130 6431922876 5931756081 (Patrick Demichel, k=286360)
12 7719785051 1794374452 8481387528 1858225774 2444281449 8317279674 9562049649 (Phil Carmody, k=3176)
12 9622850607 3425120367 5243100962 6388788567 2894810707 1350107364 5229308407 (Paul Leyland, k=31621)
13 0371114719 2709161602 7242066036 7174981917 0352199428 3752220103 5670983453 (Phil Carmody, k=714)
13 0672460951 3635570540 3554411641 2594205741 4376031109 4830079773 2456952367 (David Broadhurst, k=1)
13 3525605704 4326417736 8512041034 5555278976 7587597195 0603821071 6008788717 (Phil Carmody, k=358)
13 5100725805 5555089672 5838297611 5617917759 2307075182 8496051594 6026920837 (David Broadhurst, k=2)
13 5712736466 7155683227 0155140842 7699768005 7714220552 6470059545 7743412931 (Patrick Demichel, k=175465)
13 7070688124 2502762073 9604315060 6918926527 4457826565 1381811600 7096413041 (David Broadhurst, k=40)
13 7150697957 8056108446 0848303234 9546292903 6802415893 4964830969 5092547921 (David Broadhurst, k=40)
13 7209410797 7283642288 2913743220 2913743220 2913743206 5704332422 5630100933 (David Broadhurst, k=2)
13 7568885620 5697041913 0813111460 3948040600 3030212687 1098796738 8341570489 (David Broadhurst, k=4)
13 7790532432 4575739112 4689263508 1026115603 7258105970 4266141389 0394101971 (Patrick Demichel, k=379115)
13 9036910967 0448166375 9350965770 7221878764 0427241914 0349756826 3165079369 (John Gamble, k=16716)
13 9507235842 6229815950 2058431711 7941568288 2058431725 7448804130 8288247663 (David Broadhurst, k=9)
14 0102794743 0914333925 1661754647 2458567396 2498408019 6897605322 4811165743 (Patrick Demichel, k=61299)
14 0155226918 4787266011 4592250675 3771472521 3382045852 6966989437 7396204539 (David Broadhurst, k=1)
14 0586000498 4965664250 8214004687 3615984741 8161468129 7853994557 6602883121 (Patrick Demichel, k=1774440)
14 1625608928 1498767261 3077912921 0151466373 3551638614 8657784597 9651539143 (Phil Carmody, k=149)
14 1738105757 7386035257 3549857739 4718889868 7209863410 7895074859 7502173093 (David Broadhurst, k=54)
14 1824969564 5655660549 5656037538 5997610477 9180861119 7181298330 9365584517 (David Broadhurst, k=2)
14 1984124811 1295951396 1554584323 0751308411 6556667172 1840454259 3418974543 (Patrick Demichel, k=79531)
14 2157999388 9942012912 4813363813 1564025760 4794881585 5577897924 5701764121 (Phil Carmody, k=3820)
14 2287164566 1405348094 1242863128 5640158199 2485532272 5871523747 7246271767 (Norm Dresner, k=12041)
14 2621531146 8315868198 9051954120 8436757787 3514217198 5061469555 4076412761 (David Broadhurst, k=20)
14 3140008238 4604954407 7518571466 6322629178 9476775171 4006654987 8312940361 (Norm Dresner, k=13660)
14 3146896073 4168662557 4503103991 0081219546 1698403894 7260818995 2655126453 (Phil Carmody, k=542)
14 3419368549 5029963371 7122512272 6817393409 3901028760 5353363276 5629097619 (David Broadhurst, k=1)
14 3478201944 6547177709 7126261345 3052867576 6821591841 6669053394 4090568317 (Phil Carmody, k=722)
14 6198470298 2476231679 2939112572 3562135110 5383157712 2225193658 8201250489 (Patrick Demichel, k=89716)
14 7003536944 0822761754 9023895084 5693624483 6575126587 8868556355 7989240361 (Patrick Demichel, k=477860)
14 8233797150 5148726352 0330460283 9669539716 0330460298 7903336866 5479186637 (Patrick Demichel, k=274742)
14 8903781004 7737210247 0189456397 9282773376 4887823961 1221094063 7711018881 (Patrick Demichel, k=69440)
14 9107227405 0299660329 0787203226 9860641348 6650120153 6440002223 0055753131 (Phil Carmody, k=755)
14 9168729618 3544372664 3433018362 9156123248 7048266044 2606645183 3268800489 (Patrick Demichel, k=1720108)
15 0566604781 2036653204 8732877937 1267122062 8732877952 1833726844 0769531143 (Patrick Demichel, k=505127)
15 0904425649 6335660133 7763343688 2236656311 7763343703 3141081961 4099003823 (David Broadhurst, k=1)
15 1122478306 5630276318 1382710880 9930380861 7866525618 5518033202 2072059573 (Patrick Demichel, k=1230474)
15 1582222012 1393862036 3232667254 3462728828 9135730446 4899029808 1250545531 (Patrick Demichel, k=172055)
15 2481531208 1230339846 2537740359 7462259640 2537740374 9943790848 3768080207 (Patrick Demichel, k=131761)
15 3465124243 8567299670 1258188084 1353748489 2993433769 2710754731 7917033653 (Patrick Demichel, k=6146)
15 3777842921 2714033938 5268753345 0022301201 9856403352 1675308960 5508644499 (Patrick Demichel, k=5689)
15 4458513489 3160500537 0564488239 3122982048 1478905629 4365417740 5044314253 (Phil Carmody, k=2674)
15 4462496869 8016118684 3322373794 0596332954 8465124117 3826000002 6188456877 (David Broadhurst, k=2)
15 4535243321 1932685970 5128996433 3651451232 5543869456 3289911375 1372387651 (Patrick Demichel, k=130925)
15 4882685235 7587576336 7622720895 1331010129 4358290765 0944521780 3593470773 (Phil Carmody, k=526)
15 5191073230 2627565128 5568835768 0389552899 5130588740 5676567318 6526928011 (David Broadhurst, k=5)
15 5986811786 9546174103 1054552158 1161277186 0168204160 9865893456 8809321211 (Patrick Demichel, k=1107945)
15 8323272998 0398254032 7833213633 0494650748 9740990961 5487020563 0482447769 (David Broadhurst, k=4)
15 8561348990 4733817596 5691325429 3013937701 9748953504 7306395317 1151532609 (Patrick Demichel, k=96544)
16 0346731153 1660562678 9018169069 2341476752 5277690165 6560192261 6014690099 (Patrick Demichel, k=82491)
16 0353032598 7014639248 6489577250 2727945890 1460870047 5417875081 1892281103 (Patrick Demichel, k=178157)
16 0617407812 6185973010 4659058425 5026330955 8992204563 0396395667 8756775891 (Patrick Demichel, k=6005)
16 1290546976 8426046100 4396252107 5603747892 4396252123 6894294869 2822298209 (Phil Carmody, k=304)
16 1904003585 8799336863 5987086632 1163480258 5824010124 1732258318 4199571647 (David Broadhurst, k=17)
16 2263991581 0211096778 3808887832 9414207807 5190424163 3738779168 5082736961 (Phil Carmody, k=2080)
16 2284573924 3682260592 8992575351 8297663453 1958324692 1643657733 1435834459 (David Broadhurst, k=1)
16 2427322182 6724470413 7752883798 2518991877 6935925693 9974682972 6969492447 (Paul Leyland, k=33357)
16 3140115425 6075145214 0210189775 6242089157 1840114954 9589639226 6716453459 (Patrick Demichel, k=20671)
16 3555291995 3199237930 2676765102 2676765102 2676765085 9121473106 9477527173 (Phil Carmody, k=382)
16 4009491688 0697758613 2811425850 9607323626 4104922648 8231503109 7610745179 (David Broadhurst, k=1)
16 4256202380 7260547432 1785334290 0459733565 2034970904 5499505085 0390803277 (Patrick Demichel, k=214366)
16 4802061689 5804221959 9936508410 0751000949 1701703681 2099709117 1785721303 (Patrick Demichel, k=8377)
16 4870037415 1521487530 4648410011 3966057834 6292288536 6903406559 6034081727 (David Broadhurst, k=7)
16 6399136917 5062501543 5389868871 7685323653 6612241749 1701327802 8516152447 (Patrick Demichel, k=1649581)
16 6773041253 7085273636 1908650514 5501542327 4990629200 4675708354 5058715087 (David Broadhurst, k=1)
16 6923589421 2441862618 1575822901 8424177098 1575822918 5347766519 4017685521 (Phil Carmody, k=520)
16 7308763232 4342278226 3359119175 9775174500 4950633574 4608834519 3107771281 (Patrick Demichel, k=46840)
16 9092340484 3049403839 6165674108 7362762610 7961421216 1785768777 8978499437 (Patrick Demichel, k=964738)
16 9186317621 0519876468 4107088795 9305444012 9764768326 6966002706 1154148453 (Patrick Demichel, k=9362)
16 9857758629 3505590017 4528738898 5471261101 4528738915 5329019730 8034328917 (Patrick Demichel, k=2672302)
17 0175101746 0946614309 8910467496 9551352817 4678163734 6249250909 9976853847 (Phil Carmody, k=377)
17 0369148725 1199375709 1395475014 3447030054 9843146488 1185079806 4223715361 (Norm Dresner, k=10320)
17 0393463169 1897606123 4267568289 3158930437 8267501751 7222049685 9503055647 (David Broadhurst, k=13)
17 1168737921 8097329143 0603120824 9396879175 0603120842 0565617096 8700449969 (Patrick Demichel, k=1381976)
17 4366735745 7943032349 9824908218 0175091781 9824908235 4541827527 7767940569 (David Broadhurst, k=4)
17 4646434207 7989402090 1612648476 6722172763 2124550563 7176665278 1405043373 (Patrick Demichel, k=956086)
17 5500737968 1658493578 7142161780 5487660244 4797643704 4524135139 3734696023 (Patrick Demichel, k=298747)
17 5644002428 5629332685 9893094081 1249572750 3460217095 1945928248 9827520099 (David Broadhurst, k=1)
17 8083023174 9468079217 8393730138 1606269861 8393730155 9689293036 7861809357 (Phil Carmody, k=1106)
17 8321097913 0951451256 5075455752 7465893999 7585415894 2770294094 6315239557 (Phil Carmody, k=626)
17 8352634863 5762825445 1089108910 8910891089 1089108928 7263525952 6851934357 (Phil Carmody, k=266)
17 9541813709 5052828540 0791548787 7027712162 3595658733 2246082680 0397602171 (Phil Carmody, k=2045)
18 0168887152 5873775789 4246659797 8843887925 6194541244 4488958804 7825565691 (Patrick Demichel, k=163165)
18 0793174966 5571577596 7467340743 8327740911 6158632723 0374853133 6593232773 (Patrick Demichel, k=443326)
18 1323917910 8548449319 5406775924 5783886460 4068861432 1369131137 8712716801 (Patrick Demichel, k=44800)
18 2385534048 7920721433 8554156608 6526624077 1928310135 1523096379 9241054979 (Phil Carmody, k=163)
18 3151252966 8593727613 7934869431 7934869431 7934869413 4783616464 9341141819 (Phil Carmody, k=631)
18 4714766545 9366397522 2570200259 8536980535 3070223510 0182297314 7503121007 (David Broadhurst, k=57)
18 6184629172 7934240349 0227164015 6738291995 8134925971 0973224094 1099037299 (Patrick Demichel, k=705171)
18 6611914776 9573638003 0138119494 9861880505 0138119513 6473795281 9711757499 (Patrick Demichel, k=125221)
18 7898522333 6053910691 9988703756 0011296243 9988703774 7909818577 6042614449 (Phil Carmody, k=216)
18 7947790408 9965500865 2149723421 1817400433 1839321478 4394327765 0077817529 (Patrick Demichel, k=835356)
18 8534470265 6053577647 1903696211 9754718939 8015589789 5682888092 8842937823 (Phil Carmody, k=1787)
18 8794004772 6596382577 7946273507 6830735659 0774958747 7678165149 3660647903 (David Broadhurst, k=47)
18 8825154993 9136742916 0623175882 0623175882 0623175863 1798020888 1486432967 (Phil Carmody, k=691)
19 1368916085 9872201421 9095051862 7454494486 8145782288 0336019148 4148991449 (Phil Carmody, k=18116)
19 1831967512 3791599266 0932394502 0884879752 9155884979 0011734205 6118812491 (Patrick Demichel, k=98005)
19 2120330763 5684802975 9245547305 9467966819 0536608452 1008679931 9395518407 (Phil Carmody, k=107)
19 2614589573 6334799820 7126415957 7892858092 1523644269 8500979357 9582799371 (Phil Carmody, k=335)
19 2996046356 0022382716 4172194671 7797692679 7478967560 8466984969 1639851797 (Phil Carmody, k=218)
19 4093698151 0350899906 1323505973 8676494026 1323505993 2770192177 1674405881 (Phil Carmody, k=1180)
19 4729023687 6019800673 6853757888 7515553769 9562864245 8893884457 4417958823 (Phil Carmody, k=247)
19 4886207800 0354410884 5827497927 2108397976 3909859540 7104588951 1631467853 (Paul Leyland, k=34202)
19 5285863851 2102146132 5003248867 4996751132 5003248887 0282614983 7105395001 (Paul Leyland, k=32500)
19 5299984660 5349516723 0090043570 9974847157 3864110690 1503927201 1095756247 (Patrick Demichel, k=485407)
19 6214980559 9110972680 0000000000 0000000000 0000000019 6214980559 9110972681 (Phil Carmody, k=580)
19 6729498572 1823476391 9742709903 0724557948 9847758848 0049041426 5873295703 (Phil Carmody, k=2279)
19 6740995536 4743000729 7226398438 2773601561 7226398457 9514597098 1969399169 (Patrick Demichel, k=461504)
19 8391538121 7154861648 5719149408 8352631635 4117719180 2139630224 9418716819 (Phil Carmody, k=2481)
19 9172553672 9773361814 5609209287 1342704306 9975290339 8329394021 7230572207 (Patrick Demichel, k=77117)
20 0051737118 0880878313 5889306479 1479761905 9920808910 3316462368 1402372383 (Phil Carmody, k=4987)
20 0319650106 9618085371 8809203829 2844056302 1882761883 4296971447 9751245797 (Patrick Demichel, k=1791102)
20 1294894873 0251646235 2691330132 7308669867 2691330152 8603564740 2942976369 (David Broadhurst, k=8)
20 1758188844 8523876215 4394755666 1140357716 5823182399 6495060234 1806929653 (Patrick Demichel, k=1405822)
20 2860375984 7478821485 4714195191 5870314999 7564836925 6650863494 4860591899 (David Broadhurst, k=101)
20 3371098213 7056222525 3039183706 1973919070 6664795265 9402969987 5358034419 (Paul Leyland, k=32273)
20 3673297685 7650421989 4667770826 3677092135 5588044464 3311476723 4765229489 (Phil Carmody, k=2488)
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