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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 #1100000009091972916 1,109 digits created 2026-08-18

Value

31193945587313959231713172263835683982745735935514754104186675484251623827154184237155481370013127863891255622752854529376387062017621891498417623775194113429579305087461941670551444819539945060034563293227475728986723857192012474253762809618485549322676201976072637567641464758517494614179564602030736575778461877735462572682788912207663645593097553584861893122308398485988666871056457432101316335968292888848070030688059392683114725225789644680196378362600307605279643461316882746656456299894143632080398186724391041323932406912322836078530391587602979427758641226619792514097162010138601889833688292719896261936653564147594476320784773910043501650760343042994826056453598380407589985635011189687680960672648561455541971490179833633140667809088037890148770986959210352350847845444820241966104695286806984262256675540210525857047035179148908988861893376312708694105245389569341317306668658316947988651612430015716535155869093426819858560249318789855847439390396134328935627778892803385958164828735291977116444110321306467269631069122316151843235186616364416863332324158273887758790128629715419059915856023377
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 84 of the certificate chain of a 2,091-digit prime (169 intermediate primes).

Certified number2,091-digit prime
Certificatedownload
Certificate chainshow step 84 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009091972916 --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":1100000009091972916},"decimal":true,"detail":2}}'