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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 #1100000009123228145 2,349 digits created 2026-08-30

Value

791195340812285526150906186246560343918163789868444378336140753909817583051920295905846243869691602862807973651280859301810375476012280849142250367125264802099754757885465325187508164165463830162691072093102980490235167504755446335199966208932568487581951119784601033081212438239715558826673576210658181775386351978864712372690609853622240011375373169922284611328160051950992360645278663749396262466372101541577851110599424415490169520896207532217989326355854889660885115203377012818133575921392130115505387652511890930190463974715754892315736682777018221756874126816586536099303149685430120724560717945521405388540348875608175702492602385335987171071979160180181190953705338715901257163835495036743170939469816778191769245456447360074187762891671153862904203701988470237523606539372162494943347839433954491409998159433333391727672428499133457731519814535531307294630695505151014861014031955415106135982140429155828546405557069631524909669581903650440779657346017206716430743367392617302512315515782084584039409465353607006350656241840842255032741982714325320355010939776176643567951176784751526947644160891879149404046639695839323491238415360305457027667125607735661436920795262969705596611118950277471964322952684695057256695401553966135336126556802285466728761501401056042126111207781735079857687178783469060124832134390062568453077222590057764166663251955775532132150714710246300824742699381292355600572896672347243677968028348386822069379680239169250344378701201357602462862106041151219573513992124417019039849483580089436539520502531474883828426767608353831071472614107007087237021115660594802705214633227284673900841688112473268322639489025906329008405320613006397003677691031731983434848790306712491888197973734130083387028085292821002502236922890461670187375030881084923629373868733061177866598453302734682821631292520132624158929622734140723111151030918341450917501448463900006687271420461078700387342865546163495123853013673516742581221785396008211057494893051949420924822701754397453468928511364758897835785623323541644892890665833706543523919170965671097673597975737909052896007419507648052824161002572051193915469828125788751534336867515250174254322384264250162818349843585365901351212191191976522127965587454468316932800309164417964610650072023128795117160030265213003904194529586425607739523081700040543630162425186334432020698968461
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 69 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228145 --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":1100000009123228145},"decimal":true,"detail":2}}'