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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 #1100000009053481044 1,862 digits created 2026-08-07

Value

47343206787166799864875554100477495723873654079071646140621564096826216322131569904901571913986321657061155577586205414422034020198302778132065526003104895924097029942322043948184512718185432713812777242451445252682124116084978220262331001013737045662210826965893065387189256057733266404345410558778562685842589679166058515235690684805778511074591054961471179153646209633634859369046126250986888429153942004350861952971699101152092087181833814785433590410711382859963535703533827569543296225034013126578767488169231624204544609055103337790119035001722090131978134301173875220789432061417809659890532777677437454807217542800836429729837078423387309651409396451073146117153171629004198786175319539898467510236449087646603668483362638765579517439425291432355532481918649156443261119127963042658997950281977459692117254329710284405248162929769153145287988545936957244426132485780350995722168116514976422345448772236929185247814933107533436852304307506169178945759537912049400783233099885049386172958291705479950038466855005197330655875538881184543697931611330301498608919440388521904899482535821418693204077909357888370044830098080629851296526799992684639954929586833893467372596519048687263204808389034134903563571357288106386774182381552081334660371231557593692714567159280624645025274034365516064323497066323428455595503390369918484917838409534579304674948565663057286406716689102975853242226076372155981421702069096580496458370451567556468708783289160354878765403492032165457461079058935182775179577241474827258943081581948720118571058681315178632146167668136536298732706732724978392943036385573749428393614986205160539773282676302996547742579874902989999631960837209090269810650711006859791292684772284055613679244286221059244943742697939118659205258447063528817635808484282781476775605611243731679302530082172927421992048102819986642204812738191363614643606397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,301-digit prime (179 intermediate primes).

Certified number2,301-digit prime
Certificatedownload
Certificate chainshow step 35 of 179

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053481044 --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":1100000009053481044},"decimal":true,"detail":2}}'