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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 #1100000009053591180 1,891 digits created 2026-08-07

Value

3933240716558046875716799069575613626635303229845594639770883134750567575286943703036187022459013263970366948250139124348559327603285612236563481414123629654923692053499839738987394600695985055643354598992759908120270420627303158018223739531561412573043033189832258651319100793144604999425201551373652803880737622712520971002185880756965042224393331066937943447168367844422445083650482148046321436651280325680471833592782238264362541161822501476507341157230117603010645488343635994305951257692185658494071966102383161808200234235289534325704066647746286373213502730837326980653244489195399560109761552466250668039377166463784172013668293732869311351018267770987516692067868030241786075311591829792895223679186605165765236842195479298088755452506061633983617686475315893092471023009560041733821168975685869000558435534322656003611717371669392322038283100762826783603386485433790999923040638783355655488005226581881763667354857450767076500108779951515007064751100562055741257241964148549210298428010197937735968908802655088933631477261661383481937283300425546715555250615660379232439617441584071207437875836643985430032504627293539365996557604980703489772418037053185638358411559292296606745318635288166080873173982488353906935006298977920220003066894728300133404455750296504310859694263793904922795578518642685986316247237298450532647574304091560461091562329313793682201915391365282368459639883781175116580549325043590623872135178923309383036286479249895486004117488807086109798572840824613321014759798641311270837833121144589966303917597012521449856328368855064190272336742162965340516781833297959319710980536297789890355201975802403428584247514586873951682185542062719263763947030959394677582324361230194705093565696438517360348341828656922553618290827518994008590110734907177678208998729878316578345254556591877695567417502597882089219139840648804098415401255236117764411148028677049177777
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 25 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591180 --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":1100000009053591180},"decimal":true,"detail":2}}'