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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 #1100000004851531367 3,017 digits created 2023-10-24

Value

23714283905914797412777657928740331865996549735238442937211490994948749097300634906131047055885233387950666074333961535077026933732862396333073573128252846170314518591212095647926952893589500708456346374120656734196972114612194043053542456306116015220421752941823248208356679094020769644733006201825784941827517947999011023907220144684278042382802273759886125322940287212717034459659622484509446502527418285602939395182204453032855736043443962634860612017600727950034304041696370979626826643372306478132159940719247821564727655069492298841217188228234986771603399515300266146846507979991418060360628515881885534250102196977827546106981634803073520665383497091431688614543392801293523499173884115126652524830585006904990915430548405307066850803446346705842561351182552282633705306446280233989122462252232965339967492779945775758508018396787596784265399935528702824847603827448110934032009903175010431896232115902209084387371549051307617999954857346176648243589343026550669911139104048607515704361359732403192752308023511215423686723191301305889020309834052190705831645344042032406092013269757487137664811965775063084117932798256435104487559782351824017069610387315633172548834783975079447114214594498616486596985655371843863342967246841319209958150256175805200046596883218120814956715816553540005548415973216042120871052048477380762426301548465372782017444586929985203073796870038857530879798369512936734169034659186324768743734691786976087758773070667156838818769571152605409420308132186429934359904499566439503834540658970255613203198083631187610655413501853785431836559986153504650747751906283615608409906198214477565407928454129408950961371730614803266184934596550864123610334812435048931139221250936547157101092950292580809021392288325924890351340454115109630496190967923490159138895653060284811588944252718026228294215075704175819770136872388971176156447593556120494067104018892174478155477863339849651622232924569210701931167114990969864618620115733881027224707941381905993814116339259052417044913472110676458496754835366728967785240086605776587784781638712649570548326049476087826629997011349995549377815282791602366428071757433081509520525432101798588640314670203922838577754142387870937892468796506259134600103127388296097800070907423830785234176829069944395020288086210927410799922976061955098704496959365262368120815962519186935390945596985218187514982519661413708344545714577648807473420754352829238422006723551747199593453392144831122533861584662234304266693787843751537785575556397215988553690294989586380729838213090812653828837250584868451561747034067061655399140879147274894505970181971176259187748474641805401864644098894750768106580572958209724632475154211427163907740652046374004405116162196370643393001033366011442486066847721147847133058446647792306218394532784109226609028111953020416886495847223450105980280228129176999651806495906849847067359292535594374322353981255955030284132935449913822712597452784433450808640059876294718551507108341186045791179401362436383576042698818285288457673008517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 3,181-digit prime (362 intermediate primes).

Certified number3,181-digit prime
Certificatedownload
Certificate chainshow step 18 of 362

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851531367 --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":1100000004851531367},"decimal":true,"detail":2}}'