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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 #1100000004814908997 4,081 digits created 2023-10-24

Value

2853938749854169802875646670466483979529576154259763194150810785916834386858781931195039877621169741362844453456635900837830549924967984030340519713518612031470581788082653733220215431276131179466118099415993541216376053821153576522732520406609753749461697421526907472886567935716988157891694066098087849582446310642371166251232934459606462886574456051810117498650152099643156989680758619664975756123710775199585341618863992425688315593958907916595507535188753069486431979902439909285296079212400664017313377542089192202055211659067365201264011041089100355491990006091561547539293265861382256045650908608264096013956625455839162487041776988502900742397543702891352841402966696371514161053684139690828526373872667041476997644250377107000552742923140942426592821069068230514124765987323665220936516051434988414772821162073594621357200866304485909924683241488877201445531758991923534370511083378722965644213730444926765167984694300984637477302602347413133496923150431237492117805872753012825558626978507615376161369707619576744591785995647730544630892332877650923732107082382554576787209926784173763385997282783905037426581721986010664313399336954318304641189234922518545921448611918995849032876578890814977453591433062830119921976783134641765060085830204684004009027731927984095855170221572289964292877141338085553962045522091949793065979654043526370527912469947237266495272386658889991014132249260537379555279996335660242670838399800351962131012273762964321098543856509586411591043703985670169420288122749315920350965166150773511906547986052211277098225457900065116720634090472305295768077256052372077117778119007806708580859430559216274997816862280527431944971455186169513728974069962278467174404207660716737073046058767318934770574210294236897209002840696584652917494251044522211216864373338240363486833013849044918327433097341207412948960528235295759209719062489388899859621232078891316222402374963445115094331483366563557130061117421445747822016943070553406642895066988409961179216060249234656496342569848439193754324178375773472642206349870108814910463491746369378427774008101251795919031106113846304428268331880411510988372092870821030511686760984073370340589800892850261474757464081238479312407104494816568071883359708884265982438416699703061484714953884645034632203660125759447923450382833534161823762021533156571579619923041764857505582080870124780777403156082476316757322322299069678921166536949379132283907557267500507197694448179045049317972180792215390620764495723073929444030117249554748459380911361989581696305018328742966491944296679122740448103269006894027525367507544350567620612908988021155426083957573819733551971161696355825146289369338457360862052398924025073558858800719699894889087329425655666458432728754680856607462499604755321578503970522880010359201839664914219246486322642368812607037501131480708786783949051813424680868273949302760521751459535489954883174951888011108150246342382937548552442641609353569223714315113193974462421140498017700368482792635904063533234495668542900075057206936025407456904548777876635882560292326254956534242028702924480961427948634912450893591882202125631809455737921474107166389759176250471445183602345911123911560238279616986939253480288785617999411986294418284503147095064134211606528497160363105132514342818685344048236975855639307099662546769988222350905693928851913500991968288211517652927088712580457125399073846510020027728934885474258745857643358167911664829970978932217835996021064886978323476701765577380482848679029444946521665626717560360554977199706113263817519682674838331109242806262242403541468776833461793623032039905422321445143645995231765243281883751042377172790668645878230990312177274103523165479629292513176182554579969037424801253565889815762695741790622562871704949790307289281793274598741581750705011416695655642222844877699732504872055544703536641146773434877349420003208915816937344273963048567347361606548806377696377854147791133194871161489371509348335218631609836496176914777537445874757633937180557858015750109464629155538855155762526152743068824977475191733773079938103433664214169933729481
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 137 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 137 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814908997 --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":1100000004814908997},"decimal":true,"detail":2}}'