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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 #1100000009054111030 1,775 digits created 2026-08-07

Value

21971733461685866275167352617967322675254110359332000872152304745924213747047051439531873455102637975435723534726066381660729002898694382383700228669989596644512017125978503240626961010902882387581153708839354426474894578050813466393713960224946473218324971435562682165589731950205960302793826508610889271589253365414540295352634994891242849557574405078074368789998875843907211077479361056987155188207294133225156300137202108078762848404187640498217426874890795193560418951586213871312594523228711431870485058846919678668332864464067403743255941142102811010324176656515023213241077572898676932655335564928574002826473098441053469839568216665199667226155635728309547319676540115557243455377200609103081942667784912262529491698272102009568361547071908104381222656172481343225140930147898536690309476944621704333232527486144991736176595431345281418939529656786818334764202636503554319620711728475338034521023149780456873801982889016073209176033639938136799931156177151465317159233198817275133578504793912077586458461644795300126395224764665494618345422399269761155199035422739396107408266007197374138457700036370149416548379192304704574891511522910234479572826997459286688398336394224410705496820812063599619687338372071082186633423398045329270165630016689064268652401899353159624249117651372486693882577050999501881791363529306274173746229598818680602822095057760642776881428594662461395027007939061922028121724892342706096510052937184896933881781983507816463491591281933254381518254822594468205779851794410942429121154257961218260973399655242025526518046339829946555666826463245108227439327784919273247211446006264850011417667119123483944123377914699936820420525164029482854623993439658746032448604474493784862752885132975395875405443685877905125870795106946155321277139773637
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,306-digit prime (182 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 45 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054111030 --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":1100000009054111030},"decimal":true,"detail":2}}'