file = enum S. S. Wagstaff, Jr. 23 August 2023 This file contains the prime factors (known to me) of the absolute values of the Euler numbers. If you find any new factors of these numbers, please send them to me at ssw@cerias.purdue.edu . Exx denotes the absolute value of the Euler number E_xx. Pxx means a prime number with xx decimal digits. Cxx means a composite number with xx decimal digits. Even index notation is used. A period "." is used to denote multiplication. A "$" at the end of a line means the number continues on the next line. E0 = E2 = 1 E4 = P1 = 5 E6 = P2 = 61 E8 = C4 = 5.277 E10 = C5 = 19.2659 E12 = C7 = 5.13.43.967 E14 = C9 = 47.4241723 E16 = C11 = 5.17.228135437 E18 = C13 = 79.349.87224971 E20 = C15 = 5.5.41737.354957173 E22 = C17 = 31.1567103.1427513357 E24 = C20 = 5.13.2137.111691689741601 E26 = C22 = 67.61001082228255580483 E28 = C25 = 5.19.29.71.30211.2717447.77980901 E30 = C27 = 15669721.28178159218598921101 E32 = C30 = 5.17.930157.42737921.52536026741617 E34 = C32 = 4153.8429689.2305820097576334676593 E36 = C35 = 5.13.37.9257.73026287.25355088490684770871 E38 = P38 = 23489580527043108252017828576198947741 E40 = C41 = 5.5.41.763601.52778129.359513962188687126618793 E42 = C44 = 137.5563.13599529127564174819549339030619651971 E44 = C46 = 5.587.32027.9728167327.36408069989737.238716161191111 E46 = C49 = 19.285528427091.1229030085617829967076190070873124909 E48 = C52 = 5.13.17.5516994249383296071214195242422482492286460673697 E50 = C55 = 5639.1508047.10546435076057211497.67494515552598479622918721 E52 = C58 = 5.31.53.1601.2144617.537569557577904730817.429083282746263743638619 E54 = C61 = 43.2749.3886651.78383747632327.P36 P36 = 209560784826737564385795230911608079 E56 = C64 = 5.29.5303.7256152441.52327916441.2551319957161.P26 P26 = 12646529075062293075738167 E58 = 1459879476771247347961031445001033.8645932388694028255845384768828577 E60 = C71 = 5.5.13.47.61.6821509.14922423647156041.P42 P42 = 190924415797997235233811858285255904935247 E62 = C74 = 101.6863.418739.1042901.P56 P56 = 91696392173931715546458327937225591842756597414460291393 E64 = C77 = 5.17.19.25349.85297.P65 P65 = 12989360531548972327803547656767339375006258039696642617507398739 E66 = C80 = 61.105075119.508679461.155312172341.P51 P51 = 155737429414728656346088798821794971221082287203779 E68 = C84 = 5.2039.66041.29487071944189.15138431327918641.P45 P45 = 484510273389546188488228650507868434878928667 E70 = C87 = 353.2586437056036336027701234101159.P54 P54 = 312210239910371909857727050224078527206101218811162523 E72 = C90 = 5.13.37.73.2341.4014623.24259423.30601587075439337.P51 P51 = 482132394333433671681711454588230154366429871388577 E74 = C94 = 193.34629826749613.4207222848740394629. .22060457167870794468746201.2084356623048603581413664959497121 E76 = C97 = 5.145007.3460859370585503071.581662827280863723239564386159.P43 P43 = 2046494332840854220697501265093364699008503 E78 = C100 = 2740019561103910291228417123054994825316979387.P55 P55 = 2653485331720644497330964662311698866076250195175420143 E80 = C104 = 5.5.17.41.7701306020743.3572363603188902175396213.P62 P62 = 38846764704262590259300934027789308313372462321468975007497723 E82 = C107 = 19.31.4395659.P98 P98 = 1936277090968801570696907001025144730006986921873073863108185647870709104344$ 1129483728814525689151 E84 = C111 = 5.13.29.4397.739762335239015186706527735192795520726707.P62 P62 = 23102787557601588721456558705317833928862314134208348372143087 E86 = C114 = 311.390751.46053168570671.P92 P92 = 7498631984581214578455186804812619036927815663464236753477445622647425760963$ 6379648051949931 E88 = C118 = 5.89.1019.588528876550967927.16292380848703930709213.P72 P72 = 299486802265136211149001182581773707871231241730856886331844648891572917 E90 = C121 = 307.1964309984670433843694580256152588601980583986713006597.P64 P64 = 7009847602004167115916290986605684053531335416698972470816994999 E92 = C125 = 5.67.7096363493.7308346963823.120476813565517.P85 P85 = 6852407024669068390909754709442624892869625075497417472114059263321858504941$ 240893213 E94 = C128 = 53089.20609829625906839913745698187. .180986288780569828566819992453.P66 P66 = 256621399078520721362779415524071232557900216108064435815974652739 E96 = C132 = 5.13.17.43.79.97.835823.2233081.1951860271597317997069749059. .9416370608392625586845089085196635167.P47 P47 = 15038064837301437151577874662131773543986118119 E98 = C135 = 71.376003429.5160267661.4363907262506552373343.P94 P94 = 1203740115210949188708862833173555456573308765113803046758404643968072850828$ 871065564911985513 E100 = C139 = 5.5.5.19.101. .37425288022730945391029688959184999895624961872309545117125516009. P69 P69 = 323426745939670232370945964142599333281963947324682256641819433713631 E102 = C143 = 8647. .198943119321654388058500384086517043195558620394228397755851.P79 P79 = 7047149416458071487967246745672316954994551826273995139785075734373341685377233 E104 = C146 = 5.53.761.2477.P138 P138 = 1053615459858845219723084437087961856406947137187753364332063557356544980679$ 42728298145909660957265543317204542167828805225531566014547661 E106 = C150 = 47.4858416191.98985829942673. .1150887066548393492521971151372616707.P88 P88 = 9126321634595034939352195372287983527289370709614354229126673909434913881423$ 380224386163 E108 = C154 = 5.13.37.109.1462621.8445961.4675063901. .142310099610444540136513337624011455219491905450233709110803.P66 P66 = 516078934366698173199109540252227969545589681669601569909430026991 E110 = C157 = 509053.116904299.134912677.748079839770433.P120 P120 = 8995951308371007841372313072334979845423636748752811663349913882562954087675$ 88574163894860156599672200693676731924368623 E112 = C161 = 5.17.29.31.113.8185757.617575481323.1522046069820268709. .265053146030428876430329.P94 P94 = 1545880153245912600062726299953606854350959027455398601226982336290822845321$ 735019610021832117 E114 = C165 = 1151.5290253211544727.22557103319451713. .2565948669867461313318215567. .118972684453835135392634192556273454718187595705343.P52 P52 = 3389656898885463636440234462126245545205468832587001 E116 = C168 = 5.1098948437923935829829.17698520871521406115634951924463689. .11661906593316353058846911847709511061777523.P69 P69 = 677560847485087906909894760104807433962007112074926705317504131788183 E118 = C172 = 19.86611938909696635972683149781. .14465489614111569999691521198240690587831.P102 P102 = 1806199714042015076605233171692109694172442659293594145469209320712945002197$ 45664498349930692936711349 E120 = C176 = 5.5.13.41.61.P85a.P85b P85a = 3783751296217426258321287795930437607814627399445703026216549471614268601506$ 896712447 P85b = 8090941978456158631104858259171068706406640025707815587132162932159374218396$ 465279871 E122 = C180 = 6997.5571781. .1526627072504771936814787447304051999806158513499861179250074093751.P103 P103 = 2501412394861807507855577359909063726220150659811548912422221659231315986810$ 003054787420888695514316743 E124 = C183 = 5.359.6043.26111.118463.3322981.545893110893363273374339. .340434085979481287216483227078798002216360327742620827466139.P77 P77 = 44413952531259741407329119806185226325218923696798983508326220755665292925241 E126 = C187 = 61.251.8647.2941927.51082969901.44305294819613. .167237174851562092201.P128 P128 = 3984616383909143175635947868696402689700934751533841564950633502564434149967$ 5854089758747314306783666015483916801662553188317083 E128 = C191 = 5.17.139.70663.238229.91486803609919.33397018471037747. .38280927951817207.1823694188853227904949904627. .252181896718842913832793991507441358249.P64 P64 = 3617353888078828358204224656192110739613625956646380454452241909 E130 = C195 = 7753. .1476089794776829083186088935097008657059172428532830012025534581117.P125 P125 = 2298458672024440889370579299669261937029882676865104620728300852010686700376$ 2367570033432986763911720280277670011457566722221 E132 = C199 = 5.13.223. .29851802334168169974816953851717491292941047351257691.P142 P142 = 4260258550104524816865328690718608301986217754580831410153327138254345249974$ 595916611552082670256683905192716741294850184875605577280860583937 E134 = C203 = 4463.6255577.321639994822891.214074317717282326017498018953.P148 P148 = 6926479335774877623134463522566771554712025366410962602606221081186396050296$ 184344551656615559982258006622092385247876948709125751638107491554561497 E136 = C206 = 5.19.137.307.P200 P200 = 2479658044142025976731233296569976620631072326923915537387744087195940850848$ 2253924605789530264483870543092610083620912314326232748482266707313185325989$ 248952617833048049333337775244602673492842700229 E138 = C210 = 43.1652869.2401621.2152717661.12254459673349. .34356165690119899.P157 P157 = 4907236053841770584200018681999297996456802853708194437482161798440182284993$ 3274922453421142244420836387076743412719101453628346637202257142617299206070$ 23833 E140 = C214 = 5.5.29.509.24379.232439.P199 P199 = 2863232720792708843173359419181798398621280265329539763713176092761833560765$ 1737879249653607085142376812417144046476951415471385879571911029300436451797$ 06636228132704746306032926764334746543522141377 E142 = C218 = 31.2978734769.8557612247.P197 P197 = 6148354404429139503949370165498081636520174432992742987211893515461610003492$ 7674237162630301578096331849592566458658637104317880385765101601608022899240$ 483073180365748831778912670657839195081996797 E144 = C222 = 5.13.17.37.73.157823.72378952903.978576085558923501179. .170513218370189155958048891371.P149 P149 = 7127573411636823150247600446351193180527320580827620502253528023058728467114$ 8197484392873450754591779233321288589990522590284023825928555878046376421 E146 = C226 = 149.3343.48711863.P213 P213 = 1433796516574809508771559541192242000807054382552222361205038794743528564457$ 2009357967384281616829389701756075866901317572584720208512855646358822646206$ 3017924041956373364159581067463887702130038375294806371696021 Greg Childers finished E148 c202 by GNFS on 2/28/17 E148 = C230 = 5.149.37663.1392851.238661068231279.97929658816387735739038330$ 54687345233935055294576309732623214361308544381554891261555176895512167.P105 P105 = 3358246236285498495398414479487154008911758772673745387259130314929913418520$ 09494879887532256817599445657 E150 = C234 = 649724429.13621373428254587. .111381973999260228282238167431335585433059. .141000785435055584990802770623376828639701620449. .1193722701951839165150952421110134799375110059438006543.P67 P67 = 1674680579491012011206236448892387716402797437747987547783190330879 E152 = C238 = 5.47.25149009833.18051556174129735359181. .3957666449530267510589053.438321334095183824658294709367. .1767165620447279332603545521778737.P115 P115 = 7902969459896467561629440342971710640832059821111586575368404463345261317763$ 357672435550860134160040014045085591229 E154 = C242 = 19.6779.11232821.139668927262709710013. .18526916368663653639476639296503123344751098807.P163 P163 = 6592712575087512728787780421858241569487830451078465244286183605950886753682$ 7116734758009242608955309090028002546544732946024248445035831164730106161872$ 93808953471 E156 = C246 = 5.13.13.53.157.1088239.11102051.100153607.130223537. .227071134239.P198 P198 = 9614217660289758461070236136355781475279097241222238683595344843436192405249$ 7392743539397682669821978569055512940679618523885081550390922680091009174737$ 7598389164148137564586126833055314038282450349 E158 = C250 = 67.419.6127384099.5519160811451003. .21846610457557327344557544721254743124424589840548059277069.P162 P162 = 1172431930007087704323427580653504222798901344196700552893951379715553814213$ 2059610587364595092516323687684772610362400678392384706930810078048976760041$ 5332556769 E160 = C254 = 5.5.17.41.2543.74567.1397180350713344753917243720749772943. .577769769631936427594208754309870324583454884649989987999.P148 P148 = 9399677054008530077497545302277493941575154038053834680238997478355033243889$ 522784761961683605445071387460461523846774923639333080671959184621730617 Greg Childers finished E162 c193 by GNFS on 2/15/17 E162 = C258 = 101.373.174175655449. .9110273370757630942069196741476911790511415633167. .227268167662143428963168079206940398921235185460026379651599777158266191.P122 P122 = 1950740463244041253888912596810925963887410739476347833193429377528236322534$ 7605830584135953932394405312501270419640459329 E164 = C262 = 5.2591.805781401.65492318651.63488848774356502730543060633. .35148563470374881695890678645018818080373286214180248173.P154 P154 = 1882039849936563214166876130889938105976246541129538238310318478217530133854$ 474202941975518904951545638240553365264217620376288028015451452452851412725489 E166 = C266 = 1187.3343.2106833.1793322371.38720170561.50150236900098278077. .200960562189709996441240258588325371309106596691112542477385109.P151 P151 = 5447967223296387092180840241081744149472587321997469095686534379182383007667$ 354567622208149029978337744730799811280117230904401966930847122928914885739 E168 = C270 = 5.13.29.71.558587.861433987.86771436435012390277. .16669946091045819953746739504935989816954757.P187 P187 = 3890663174011490563852664131325823365870058201621063946916169960926699257243$ 9154550288156807563158970346910616201774620109729963642637328512609344533513$ 33233441112218877571966034763143011 E170 = C274 = 70727223023077.1034326231547973051559.P239 P239 = 5768579373572134154634930030567662432344264704610541344522281106120954535384$ 5602828109795780758028207077176711605376112554171283697304293774501113116402$ 5998261528174784112217098644802221011372074530921013977499426287544593657700$ 43362375347 E172 = C278 = 5.19.31.173.208001.743155422133.2840083403239. .84005508665545362459530332377303058295981062837.P196 P196 = 2677210291466424534727779956853491060502228163737426021635729400563200005870$ 3478513519454859506818656423308152277345244651812200988486510231929900357345$ 49043811663565283951948056879569610605829551 E174 = C282 = 79.563.1199714371.C269 C269 = 1150111832694857508418536641460772893036171928758605226606584667761414571303$ 1074755581497250367309567286154365483655504582827149057161441280151005301278$ 9157095260574107262966332662315299983096161630990528498686808196180583947472$ 91762591042110721859600953082396285851443 E176 = C286 = 5.17.89.8629.708473.C273 C273 = 1656424616932186538462178686972397697485210112191204803414583083731953621155$ 1248668729345995625676849440578101816921608131959090626156484011090921860983$ 3258658133647102226899914018493662247351061912534083798575015156071615991587$ 487001823173073125181496372070285351236362889 E178 = C290 = 137.1993.459293.463761292322706383024896643864485966179727861.P235 P235 = 1681921437601474010613386739435777883790145395290805342096724897379881267686$ 5509392465812426916320440419513397307480572296300471381832611314375011054675$ 3131583443658102126170717802727905622088152426827503741659298948950976101382$ 7423937 E180 = C295 = 5.5.13.37.43.61.181.6923483330327017. .2551820624140592595425268234790493384082614077333545481.P215 P215 = 1266388428266408833659528223899305696952427049352908950594148337442149971920$ 4694139089591100466859219886411852557937424950636727995064411027229919678995$ 605570153129588447672075049990334277615860775144786974135236839 E182 = C299 = 2141.6263.42451. .571603541368801230089951913655895407077605649995677520702810776389541.P218 P218 = 5241214958233194749754337876105532285656798079585731038397385516686485799587$ 4563167680944377265384854820594487229969755138638992569013062723405149389042$ 233159479034085363283988231661473326681013740041941092948381767017 E184 = C303 = 5.2804389579706797633.C284 C284 = 1659719499502167528434043817285619948419122101694752933008884552140691535374$ 9594723378428602045507123656139044135638045472077156691365728840004440328662$ 7747656741523240695172198572996034345391669972165077910458447496914656726141$ 96598352989644142627690762632873459746442618890077148037 E186 = C307 = 61.241679.36999818357.22658461432253.54342802734882461. .1086110887390889008410968159777.C229 C229 = 4449108575288390235694464051808047022395293262805732003486717387355956567685$ 3419206547852596379347640812734493751779347868319650020855670408234938249804$ 79340737848073062414431695840483470013374527365776923370484506658781173867887 E188 = C311 = 5.C310 C310 = 9248635451653038084864780585060822834008481415286423496786744232316604854075$ 0989814929906390081248864480644641049424378249752289645245269931531409334860$ 4142234803592927271346761335647892036528988206859702149899578096989019288319$ 9203387351828860058188970953485757292201521200103844872572187671819275771891$ 840697 E190 = C315 = 19.559570609330768709.6386014734599369410586902768943.C265 C265 = 9912538883567060529377645549830468616117731410024733609216752657842574125652$ 7009479505040696176481322718920040895088470498658133577787287290463468182554$ 6264551229446253109956422497448404026893102044354794239436317947638155361820$ 4036969174974193675457995188685549557 Greg Childers finished E192 c200 by GNFS on 2/23/17 E192 = C320 = 5.13.17.97.193.311.1469840300183.6895766514961118059. .1269672106384218692615790692911. .3136426284780626707900456422430291796488693834153. .527970984341964329713816165139855340458712234958050634766242533991.P134 P134 = 7295869048509894948513870069397808102621007733089598074971817040486219873055$ 1488332843803238735735562525380759852902395217846948767603 E194 = C324 = 34110029.28024555486506389.2436437750204310804841.P278 P278 = 6517203804913615201854280508066510205870158056156669880239026239622506895670$ 9951066848544646428070863274696075632834619554202111559159483309440290931179$ 6924651020924295127185314772224415668471564691879439651652121065709575391486$ 46989862333296451030316238161132081556079556905161 E196 = C328 = 5.29.197.26034939865747697437451558982836040663625026070193.C274 C274 = 3161531876327116429832449115177283685389608830097864421934732932263328917435$ 1945712935361478551042687693937769872815517504284388606348657375481396904964$ 1830859877045379562060691733589694081732095148305355883241362253416382357737$ 1113747596540887099257633491556987812949575361 E198 = C332 = 47.1879.4339.585653083.2507798651531.49639305210453901009432031. .105555375856176303898432906280701535874458049677.C230 C230 = 1260452829302900348867806200865045069858039011143364842184601400507336255297$ 3993103759345730028138244256263293099259506005567218770737562874451317372899$ 945518963333550037851761848613804309602742982724587369155362481220739725370613 E200 = C336 = 5.5.5.41.101.667570903.16640782677056849.C306 C306 = 1042646191333614041422251604804143722362946507428374517564439166862941669180$ 2823694938027464564293426183443764802091459771935172931404645383441596064025$ 4858035224301458348593637179204955394293710408501103710159369489075786064753$ 961240725338176020891735273227613495031315650686643120857593135713795223394951