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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 #1100000004843912727 2,636 digits created 2023-10-24

Value

12589634540644730689460418407443597130624069810560867020821569369958198513735601495809436496862721248171787033958023572390619967405820645614259819908391469100765085749762381941177322540917373868604233685885177014342232067287927971778050626353875206663909130606652435575004724360284250685124084058263431566983418531470715969247015727329337161033276609256887137239327278653688321845688454075174789481486483505666089894858617584976873870899470729110383832135448718590069802944683917578263732012551682431890586525770704398378939905509308173174768172819707684251831414684352109216501747608827974027265445819093586995486943349447398517358796737443043476979662632242923931557697111472030760094212146006229324911160493221937081636375124831779167773163850323181299839839345780147457018857040821829824224468367212543916772971071957471030588003379487651172999867458320517645878643636852769649929709719901716164999679259621072572546969652726069350894078980670137639396535286267575037431759279893956202730983747975920339711560446274355268228256675776338555950975322589742285019162783329961502771113198240220728239238154051044158500993773105006429805160527121937140524665222780618533714427324315501036471514631083746735515662614074938124855611248834842809672332791381751707547617760756757741851973390636568395269152532371936378134519980709947248141644238631761065439960678004355838616878796753252812219794105351611424930504427084587358613017039485385313160793203584288367105804818315203107259966917388400932700575446103985279613904898421300841168466207567144606382229663273339368111115928319793533566300994796425257998668475228270099500068134702565446471585926644576697794971020301968881726885524788380652589100133429121951653018113423763966974604413761401661701575613202967257945484859058213575962121901740518502610683019914677981844994375920073493032858891043108030926351980382469546561926934449714141980100503842286678190261054371779363620718518477664432491460836463208206638198767896203644658631492921591509433025286187594244301496035992780361148439732107348407923005768747913970439366767413863837127136723619815296037711927643993978796023948443935855600666824876786178532420873032992198305105015636751018529351469369963599495539815074249615117036910635430896962189548207739391776334599991121523140438945721081386839153896616675432335082948084105247993646121798126078072111966776203051031246901237370986831199211652364689531547104214894626146604884991926943034213455875397885846035953390142630014627174255040688268700247267031418463537464593756818172248092535656687625630822987077651765672054220245034687289444256870348212926693835753622950243397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 3,351-digit prime (364 intermediate primes).

Certified number3,351-digit prime
Certificatedownload
Certificate chainshow step 74 of 364

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843912727 --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":1100000004843912727},"decimal":true,"detail":2}}'