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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 #1100000009051642578 2,162 digits created 2026-08-07

Value

22468724152889732842708085818690392400153007198451477015382950415348299286759830009022306527557889458321553507687777752571826819951386804810738561667184530489743536155744976144446008485674183919177534857844987434776853181116581870525615524330215680184578283673852271004749503257893998415760222870137878965901870124198090536546141338133157676531415890978128257334129846418217026413706491787622338140550878258813525734280048328759913299092629464981641386233294967879529468134328598698689347845906409926004946923346307702366627790055859071097649628854760775751625681169960323879435057430862060979838584006852660080543484358969586645622666777729277469399775820840145958944195183747877740450899085462013220348088256631100337383289211458114570419187809337547743598857935137056679304422134196700145149359968216412177809353490044272025007494261141266627689230827006215106133678538343247154268324611122211033696590355441277945625293509834272337488672776380314455887135098392926691271488236686462090378797361566254226448212301649642506763708577130981557106793263344688760066141683729534571129904948056578006968754087979618328290272457473939492510853393339649764684475321367953248679359191695694945377263435230483851168512115995460169483008639719744428831420317908205622997131234410569770377557618923831029450159261761760028345191587640773107154750853424795492696337236248238456909697765527084068807385507291653029717112582617559439264999002736472435050653369478351356375115599675577717920192981697944363163695939964207807553715324796646492210454678203587297493476353558532664238348211442698910838999978664157188936493971914493480733327523451203387189937116881099735352998462273345296287003606010629912238672777803453274431704832824974282577871319775224570378698360157574732286108383495561760507324284917451097498269528155942947709547978599540144943999259092119758740993543185468071246227529766745769928443129058072069371891987854079773435655134934124618294778304200091053724249994835628038187969691986309449183665725592053190851553400925007761972853351034531488693235875845907574260592899058158071559438783756279804582035828142207307698491407567167333448646264292707050381
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 45 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642578 --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":1100000009051642578},"decimal":true,"detail":2}}'