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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 #1100000004813741071 5,300 digits created 2023-10-24

Value

20978078127399214262816024668352265165754942773838214001102159559806519783828503571529865236228086405015765628178499753907993065453888645572754464278850496716915306563704108086660908746296657874031889110149512211910265619295100726286532903588101813942735624305747737022742126838897593075826170017959466100986944092325754519915709628377587635744035646037516198987594400963347191632307224220183526947979356698218971342740316736174379569910534797635143656859817006475119989299205696059854902860418579116244943746181283363132082623876893989301612299197373302729530293187295378579588441585463288376174398926341346692829561373427032304205776249953689021639740503243067561087725250524589722721437633148074063647087719956869187900037651461240857582678193616674695843926186850730116713721337547838906318709817824890355426645176083345688367254895557048819265457738640958674316089053295977190842323514584844978192476355010660548014301578505884244425250257762917409116484324896057483557263754189695561719854172620034616347519421852937104824686430095437660586857348344237028391997538850804536174819869911754481643864916569704402679549103284290656822642195187600585392810685209584295261119705158219980660466400912078047508989926110665870094923573001203388100024004398687828147858981709981045457220913625433282799112453464341001337591872159283271804673839220869041659953324320141421307240662699858028560431370565407641633158380968571882054359734698572980087091974238982763583998924372229202344561999796743290512061516009424397760450617300532797152181415226064872320503937475373197927276827033273300987337217032213627356417386517043564562529242071818707589596856890201482624954302495641309185671289959150586740814249951686033357699649967100993567635277874586239657670416244423017140655902245944037278081963051775183959393204013579351594414732612083810981959071034389692548486158808913643437841189782602349488116703150069960209837009444805516793298437257337891136456422949124941836519191625163070954206470026180652623110672049764592355321489010126234288794217928565137369094352221543251842691073128547720865147262942276085494878520606543708788532427343710613527492877658274565879090704757455855148537600592369888669200300972633726625515303729041867400122991287128273637065543014642801939526310443267377201390602798942575910959243472904833624041386455243130006615880521860298345158545132732272998492089250995714880348652440163467832617691931881305823018203408835895387964562353800921672442484036954238356680342716492647861508191475817714756987029173760208843737906510414963532913547678713454458035197244432206692506728680513763315405375066897082373743551702937237718274083802212989118312935488411747531066344564464153352747964125762031998434155704594173743934236920818194504810625904963015213923685759840662099715656638558642401772741022297576592121722853797512624875729724622397313918316544709822534312655147666339254948834108650083185565980811038743580751649707441948558823543189254427177210433185418238811900513492326892454338368339062695413084687912719526361126965641742331209925342476289248161089762696014949181178781831686592404414904232304556856544700449336963098970609415649663811244062982636523987199983670234579302658919708977463125780921498375178848362134273290074459527532256740360109275223321153824242008905849111472794517802454550899398605949992070000782915530467611698034245017558297336292296947397030033950990077585090683686117869906867122570054343661801238574286114641635903199042929408335899695414403469234098051836849557742598343824852892733146986300719784402965044768964685357495674785313286710897238345096445117224831857565540339888944825804001619376723504784531923535393891001481260058460576477538601234874803646411241364471912679404799992033624796557554144647823059693803725810050979843283374752773749350830093449306825758017173482306466735236419548217911149269229114564009377942356798036682250599728148365077997321075224363296301127190012809494982880897614220797113968807461863070300479323436845815417059534896325690253518571665232265407465991597596226570163922669922786657813772163134914303953119541875236922916712169280778738353429940948094113288736296502487841951655507543405920370216052897571390522175810653190147199214554245417730110489228004534605783578186153834033692860334395319707263539556276913184459940098089120275030743315071822549924122079615679171013024931446964550022381326889074421567314345526224410344953209003695114408475015115865440841539511434362498968360208676742269624064831768894050988156810182351550898980424829422968521900050064391070436287285717998371516189529168480786163038936248252839508427444120237429670169716794794709334475449011109130428065252562630825953469115511665481495941070129485883093851068120914849035580319577885950805707974517490616322881783207844944326811786117404761032217308893274861046420195646328496023719370130112609992069536987268163850279309210334891050277290791067537898200248512756221172114781167228304075640236449271029590469742657709482989657103566662124563043015581344187346328779624955726600131088790617746963552146338184971028010514481183647795516988072327268089323185809935025445360331133469337470486117496448350321695491109695360134470621861350131702616343266120594998600078429375014635121464117324293193554488486751176343854240943633
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 76 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813741071 --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":1100000004813741071},"decimal":true,"detail":2}}'