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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 #1100000009053915271 1,557 digits created 2026-08-07

Value

922452250176701847158544149159501917838768319284130654954706531049808194586646980687006104891282931629708531722649731069130108829891907843859501082626571508738255208421520864488991882258496225787588721651729203348581784584626472524368207351470462262698913420857611640189121032718507237093923310344458854996263311090312709548500142076460263360937743909315621906744181794131952132799716363130180961095319231083343705393755599661048150711430484244666306511827093286095880848976960708298385712213324495747193964444779763351366686917369642812812868065470569644381331372053855406905885984067155383588119647792211337714335474911427025561577446256651829934247720673261253083904287043925608897382053300510663307210539044629588414704580059686047101843182089720930446221152449042515761574547817399294789461757283179618282554185232080307437898469640204115509280280034917157746986518977919422351944912267611288972082625155721544404607376983340552585255004491311491303539543115449711828089127199802057144870617232332557446988316983453596938845539692908542374155328111367995632693425344588266804577989596113806631251495890010135938977897948209898406658494121299295808983499106164659503414314191598424371362220709246969428437630539586222784331578659864356071837385800495876410402868082051759344315556549566215094857108225579935918905522488203513291419792197007949826327691924988251089852719542495379171245861214314982584137317013386045064671483291708076482096323786100568429006393336940266088424546192622867870789929989017509696381416529985891702998336262741557702285430163
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 1,613-digit prime (126 intermediate primes).

Certified number1,613-digit prime
Certificatedownload
Certificate chainshow step 4 of 126

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053915271 --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":1100000009053915271},"decimal":true,"detail":2}}'