factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004813741350 5,183 digits created 2023-10-24

Value

45856548331293464512222090603277473050237423217436742278738213660133071443600507332107876846978911468768343752784608215533464333173066444837982107673435662236212992885379797851459541137925139515676876093636115629995087210364768342600114899368464161693118857290259398806891177576474270243115145819337440261897145115258792744239340235122043401122766227941181679270784244791841163541645381457644898019643481169645850588761245207690834620888386499145995907300874069393779689028926849108016512534220692807989259666518485930048371994997370125403970285080863185489993889211475701430163269194766064613629149694182290991630148181850292835943686765527746545096584808191182081516424478444679558579855605674267884776818208580172953851071530915784170956551907426120106010515390965889414881561514227066432165446344248578015009023460879720664061915745260491618385273276416577111638320500018149115656803767490768575240917068665467119622308551035922987458282060318903194756937602899234946408645378730470474241291090631369944300373738933849349497148607583977378870350806183031892272568954174207521570034850303460996942302749172932945694965116308496534398259958984016944508219326868274527784524257205838243952572453464984242741470541686146656193317150716310439426767899686082148064026977572217717600454486500511532857236460435999117217958864102021510829508138474789631716255591524088856100924646287565832162475446441035924591930678216244920834014369634635766460898086328002987159480151192948960990302663983681276573197568253976645770305783548223160147510339912153488373920064650004437766397568140431122113934529240242381766389812673627441830629769518142325274187495225683660265191958222152056464367737143994284260070118678986499499180995828401851902762667479541353768223558302186518385267016610131712408310960259375546690259171686263702018795210445020802222592377308470700488643849367916976270458781860852823034388679024400473900929971250100112406202802641715726629063914937242706817656612091621538738030564606635707310743467979528572792482534615295964713986940653564683630994255351099781649375225445222960612463028201278050211604974696857118858512930304603301277928905063568990019636717099735579158351507357026937069615916726829604571224338125190214885216145492314418684389428566886645718216649823421889115059757413914672692203203288998633078157109504258377505918727979190280968199141158784629621251227121746750321225383472325266511841123294710181522100277183085889177892484559729035263728984719337379052069619043520250053612961236187515236417283570434058627344894594901604596384375509277244922483691665270651265998745419118898455047584465919947467000113523470148730988452493753508223803138201675381887393084405284724879032370114027118678703581626506411597420891245992077187952155968954059051984212330130458412277738896203500405485787724240287284019310308154814802032644551838398403691068293472445642344887209785290852875252309931760441199120196280308626332108114725617109790615496924596059127650558012853223583610867135582310539261544339907376526869750456155568167288734892230586244874343675236677095441090265954051793481551675003962442587268857033874188270052543717637435912252846569231949333126469044693923073388401209773509561630844829513085188367946531286882940311542942920300016064566194474121294092568518168574087802032355565131594546639287003374202872545839889402093857756497135074702965081921288304123488057438296259797029932085321735506291396088452777011161413407117705903407560305931270573950501133892117713324515753868096536716805359821389731478892267912776647300192438249402627611000002592379715968447188413482558746289374719278937285268833544262124205736207560604052276453927566051056606553868018419801579403605116610544495407222752821009497451195235332722209694161700036226226750729376197439660652846614863524402925028530324854614915849143373280325945543856204925810743133813422972343933795339390871176983702834681087831576029682783564423386390852769900153507534899452405854696594453640825218311410709977065346571840688762646406713933897253575281242195061641336788188751281660798229426387921070875007640522654292291175995545947468920093150079996909288910508328149179007003742622547096654884333588773194964134607790326050943003100804849072177750174829569479470598353384142543184019795804932220331830435190234429847651379054127640068479822249816035138891559082039869243528910700692751755540232947218320455298076142792908598346976550042899911856258474942582369073555249869883071905110564439855922475800350186966550747152306228263089670321497933010016084377803889290006526958311120128424481007688684758392392198147072066507913011505737022933647188985766157195421820544525788798995397638027456503022820398200738220229312027121818623724619681058817768862324979778356452069284141503590833046193704245374631261455455817919935735869198916184197103161110822540793365638096145484221935472452358044905288336534905790131729240016219839119170962937429561594754357370513995732196032091912964944660983289487799390708820033234973715460760553060421523991303268252136264045459368071663926109800928232963075121672925261844556201231843115775025049968684220638304027790889007008129349301461537587410656058333
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 87 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813741350 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004813741350},"decimal":true,"detail":2}}'