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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 #1100000009077850576 2,167 digits created 2026-08-12

Value

3446684940079991320471486105569874188937163722422909623611362287908373015302405022626586376781912721125444806672915918185980847134434417705588555068364875139357367763451440974479224872999294054788347821613696513080872021140826384335694298038090282478204239545158988112803853360253479479133800205820870846856205294084495704797466587490880011264990633405617407343880996598664103524762547986681203123187217271417263907994395009831385047112305139786985054952949253950126840078315392858019635560892890543077902262616666334318834649437388452711195308561001329423296548178057958267824104300908922897488254460819239288832351091671971510046374249373025751305108514869733021041552300913861736589408327305371380721453606629139358136808776252284484624651819833753088051563636975409300314833132529596770527737323392062960426263206591785284711174341158529441671534627163892367277360740643497584202152517112181489231387545231380661201812530113200583690769740354402665253527747367531021527783784379648247251894772587917058054549815525965478241653231639565660694704302780592857170482664640511813746542497809086924989342723421450493884658280639755282910401279459338268924064822055755234583937636821795001475683092357987591401648241272700541256097443906651758323798031740587460158263358853534654426354881398461498814124335170940786007904614521740690202873834184643939163386720275501447632727032540990143800167462914005703070658941303503651764286284044863317013152709367981168218868561598660439285330214889857478457787229030264152414316677503014915104547843638664493985750402957495292496652700970196079028646904542843893330158339758380174197280067162008243829051210991861536985024763965812980993551799121263840486830909396257018979310722512778967848518006266236948987803382152290192037903690190067659195973508620467771275437756263823662096093569984066010894315667178207834734381390967993235573182875825506154991605409167481495818790946105739492179356654147901561526596195283809469924139320470904874742599002289129380701867266951644915075703894385703482082550624646590019648318146359309679644546728399753153662567857249583444772670368701337731153366737462801375053823687076427357808870531
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,668-digit prime (190 intermediate primes).

Certified number2,668-digit prime
Certificatedownload
Certificate chainshow step 38 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077850576 --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":1100000009077850576},"decimal":true,"detail":2}}'