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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 #1100000009053961245 2,039 digits created 2026-08-07

Value

30841129255038110026964056633478922444809436563544990491953579032789268846564176130819321322827756363436891347999520146806357734026808438016336680528127903606919016868494178641058580483393081925281130334319831143012956989591718979558938885031241075577301568253379131645105684923444239047981006369458353106382311645649864263700546277114817732507761085733044811297091431497750002135841865514512203441876399126047739554384087494433554394484476148990669556390669024043237517084324400931938257673858781940729302744610728897890400199365491308782429796142345188897180735143752000835014219260839099027804017387642842887196336597467693872431308194270398036011582899456851290845626883476244191221982451643655603910073126648430612444567872455550827673671859275819789693308505976066561951745715726836407882339038508240740306933782189180244635265307686157212206396035313977043513302690478843134672862239238636600213283899111211903609078434006656650574022839172987276442984655097112987518545343238327497999117753587316253034874261588265328062682142015533354535917825715055173784043836139950094267563519758969875344564274039352518162405191130595854961438813414459884330344193306468041514277528440577297210092289602792512321237945357464463243021290785390836346843260849585707903326381440409893817880017836735591187794813257914279665538058940067157230226571641136694179172606251250149278433219122108236273922917033616422108111255412836248918733399431492742784641828864845303117558607138922132468992901585762301852100736235960653790611475957181462827309101092635983346960269183311616703209933573507570424766531153013487638232050066847645191509525652181173772924393266041314440194043390035427180452886693907926783655116253161770841905567031372494557677467218756208417307728422600401630407990654944750687070330107376824393002710094409167558432659814795620260372278931600022746896049973457971126686778999145765766081274427810411936283683964651738678795551982839943672327474514886951994940401881420883788159694789779729296630330898820721227501212631265105752747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 25 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053961245 --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":1100000009053961245},"decimal":true,"detail":2}}'