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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 #1100000010597193371 3,031 digits created 2026-10-06

Value

6973899485345606221588974727367973237422487105908628894627013087866879146752291689213805446369804666948391284715416461051567831935030096316222753805155257371517990453525157606079698851245200121625519044858269802814001675227835280208710701680624929780944193073615434001084343337636955827064279622078455938824705995997148343535061371656408283485186301326619598703004410928917805873306300840618686029983707483526266983704768964277777778247831357134353405541421066925032096819465006234852492343320515988564335861250050108319314997470509669168704964906007750509864958385755835632281825442001033640614034170372009301779603338047394307039454796133952321568132406985054041964901065112327012307937150540317283453538347146721432783974981011483159725645119482997628632908242380782465091228463155628508605727202223245749816302586042188395175465081347863855938263265093565284410631096145185354417793740538970789469334767350175264306891052210491695982645727470248890169884349155041396732600037949330938981390931468644541892906472391839647418169637878077398536723652236645221255113743116926637745316697696145633465680228107543237182595757806312438116703022387382789081818545699810251035401156606888192672874112965789292069876293133124109563062717627298008266051080100969372636335345823272240404029881866671780566111856550333664345144818159763962602699374776794886186944419958657236430257421299653555609670650231374010500435493985325078982828709831783284853250723103123440684743542269525275534799695066519244764882592735339217676917346286379019969993764769534082188203942522846851741510902512239034886729041814223329429896413357765508048894711253103401203950399648590759333310528866595469025213079685552994415822120693087425636136712170651460058560459670076267737226751228892788417016290263717276230735172981931312930073601552412445212903461996297655254205320022899803573698844441733628331374410117182294841580115104848391616133507923252295145545193963364910943062573851225609386542888411022385831574179033141640234530595318678225613766602096035305320649232187579516497558690902157206836062759851126736901851621112138855899133717478595836198100743268057500270474925766645390580679831552167824749554493197115621239968832343221588208799970757222636852704889590377693781558557868493594060358260338673929093973403851853558132997729437087536117607701674596313214840967931917652016249843155836075040850554776603374478214912286285853809834936432157663218471248559163935505104377747469268258153355487255064035252850606731054358954524970059167647780077580127274603574501310460452661827295548151975937911499235410301162682513940006869725992170955170331018225817358174707784491829127287197858219557892111904877986467846935898589252387873311404884336848405856503541715394151123502016821598568697027463383758650714496093437078296679444336455780291511520913440533489128226485275512247705487929231444709968789758812454305537528801628338494297458471729578632327216197239222672471163115573686439991764748236272177091400997491915847767250206382556039815775054351171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 3,195-digit prime (327 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 20 of 327

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597193371 --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":1100000010597193371},"decimal":true,"detail":2}}'