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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 #1100000009079970216 1,613 digits created 2026-08-12

Value

37172012014550697006394928040716790203180970070082115969733989633016829756344391423062733837796294091009573481136816270866272927970073582312812039161548679893261869011936203598089968448581328017731285142418911094703916508477330157118794283652101975683541623936707391688128648669454186630806285144969965582295127157548287422696755663525191062453154793509555200489469063072431176246894116707063687525757823898277011527520514990108289568948281312305153902217543148365247278799813804630855886930848643171777082523541301753582078397553289033161129265735484201660599006107060036016279625817589626474803603748562239744539117107925032819585592880336250092953219572552590521197996761064865034307814547253710427774185292973864813931781161998334207903287201445280810030665346308930068705999084873684215230578409493925184690667445333776411509830264291086934961219339002829226530863865505583049931228276850732377797598923097082097708955164346768331101318122074084209795979818779110351106178909861261851830857929497511583402967798773047641340841090292847097383095973222626934292914584598963021549970692383327800758535276332859348708259666710803074606265986707845834482866762400698191850802198119991766738437044002491334239992267214145295155986028041762234275701904552231169131597451014301426584858065294966574483144890638408788659445120378952713155871410888271247887284038645073574122129982669303707741178655452642059668070087547897332696677526834099550673891268290514932598275192215219060047131347901779474672843033672780876699836979803343712797092039342339203856517791891794445185683342704719455613715522153132162661302710119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,167-digit prime (155 intermediate primes).

Certified number2,167-digit prime
Certificatedownload
Certificate chainshow step 48 of 155

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079970216 --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":1100000009079970216},"decimal":true,"detail":2}}'