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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 #1100000004813386585 6,186 digits created 2023-10-24

Value

111241215194475217609505508746874462362386328713330499397216428941227114420829092046868069628889840969806553609984313191785973871959701202168891866254297109627179981183527089111569535252073957630006913518302453261490228606474763428496675148290628108295641627437404798048152179605543663910456408730852984764863267961783999737465154260442734786254454503369039644966916554606693802068833647379902752257966164559224685600068627595136751709647693365321150842709258194741979837098483129373889817722547586417743645447890809475490529844035682305955599749635196725659741066205294413542805497588261772222506951993151438599738448005547186423983168545326590565397710807087376478396983163417527526662192328368981663935436763721414168337410277016994094498008647234528788945553523551350349657397874834902853422003724414851817498582926931610933377987699591313962462886695967521992219100200929956134999930782645352578566849521445376626849382519371688533442800098369796608307661112418936435492445406361242817009171788561566773792204795297511094243113206022480318834358516757320160861140276760062178194923608501113968090808126231101113452795924570466525006991094346952066163403205127368258398489787851414489952460991916948549680922831748475252085813307809211491840934426488583652118320987860306888780516486539919549049800856937200107176180577524195836337256850045860537780253125159863434529196778605012809203934835082463672318903590142775726938203065727862118599889092211430308799430396101296877815230660847718585551070211492202123105054323258294123056452268856614660237811821567755156565797390287438632483115070056604580678134594617919655203128029519524120187140435956336881518658601115239527499879461654540806095956308212753664395147849968200164857053606177716457928309749208211517181618739448260567193207332297985815448108647000373750241823063934130479321169133587006285784843098766129571113961393887440524474946532588698453905284166367444477669269161688927591293151686368979155839997819696777700055619262095337437684701183815258323854562517403824566998159881239616481521096888115667932529463615133397294584200782214317911035710844364840588910627164659857134920635704917743809150621637123931316341145083345388401756451019474547165942257492051614900133326074337840956888512310390044119260682387110569253582500564815141954159716549250277089458129713687968636945371808660716392015294377057142494842084319823342579383865000602769840641464988894238625942722202189219204264380954946313939638937169953207839563266984189923606775352268655271891495735048848936515705065751637389313632043375643632834085602437153828516125625019600323120390566836118394526711172985373375142273589670907719344388706188227210993973232027900174364287586614829021442986759839363534094036941590926642287933309749793285115080503502530350537614571730419430379012717199232917517966795689350507314775500796775858414587545417415801037187452990902109606820152007955203829426995684568192159976666332547488423781226467418990261036160200834980250464261135802464900335409976859993721408572159394709847027295527092923648711219860735017201918180991396551159919972042624418281398820101203447515694393404581130502370987332258026499407634177164126928957229800856281093661780485808431091402373598584560174605539817841982350423323183993001045099297980756985473177692174814191382332320096290257625405517107779934510908453369013325013707835503426297294194295864267633801227941827743985479294169681367752486672367109678653931792582649343169827260872592530970540364302469677653157467140229043003712717822987136544177033426264210096235794286142723091326494471191017947019518732457429690397232732244973846371283454756428265903987928127856807193360205360959874823387858551402045017819356826872962682339001026833326472989449591499880827340211810563040832631777448180021901401937065298189766337023637627801445155518463843726269439172835538122559813873281914068006122116339521834779855117181639859301183871955750061086732461514528488494632810802385876950792542320949784998526493138723819771719121303177494938836804193137143801579570158290624849486239096960479039872389381638045217659289628869116030856105113626055867993443947600539582606762118340308926651999534503179488334812868810599802164441406993291559381207479156607444000223160497633450159199402628863138449367528331741472308666987632257199628665127532836568506157625920169150840842617869855915072731794457579321753133635590122735504249926517270527531342348911106692400651291408806443141258600218694670656114821618333702477208403940158722065764531870476948208851378264267024969289286943207096996920534505022369492687330678179423526727601297038204566089028736170768676993974067744068835976916056359185853305533651526707639264642623074920151732939832984271198844948056135056522594789236139733474137210210118563251784086083336175218984080566422335553295570881446734463165364175701118152602470810904648315223864526051652950045474397698416628198815878670765125385789320772226014348122074635499548914855084849223954629665304780601665741663634068740046239344858903948092985789689950541882702846217516474745278436167368015573995139009726979379068561677515064498423848055351658640476827473461962085038547480634342140572585357636134045515274338587496846788954476977593218417052609099740314349256541781406093153497342115233795840656643851522885857751959331251856923492619989902365873993644130266412621757659200580475984162531725509452827859487333574964150869058089310330544646812068548812588501143194423787941255516650747560542545738086630368591839813876703937265848989604840290322949711409009978024663124966684291708562622560344506858648638696531010890155873122813427624563935344356203387673240779507334713092270533614676701259075598536188004641831690116527566777098542181464015933065717608970306293339970280213188621592022954170096456639564713227233287164903495697821651948240382203026183598323800911773172259486372884422823689498435458535963105136389446196048854823942090234116047488646773662776963857456414018306603070199525856015325890090341075625079460251585589956986582258523904757510282501566870829716397938247151048218875607204495429962335981588013832436296382537291405905853690604992329004337932548150244209
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 6,405-digit prime (635 intermediate primes).

Certified number6,405-digit prime
Certificatedownload
Certificate chainshow step 16 of 635

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813386585 --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":1100000004813386585},"decimal":true,"detail":2}}'