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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 #1100000007222400906 1,734 digits created 2024-07-08

Value

138032354357943801611258555958818706504172429177859583650150080838500717421651367886143235771255611319443191354080578956694886919704096573490527842109183080426244102728657586004183915914677689866951023456896738643497092074296436477058477843333765149985443806697378531327264197743566833387419231949965041126073656215044315345642584280706920221922340848506451708326212727120042072154825333752231194833839696425604652056519247840647283451245529300598571779811487571570840484696911622776079300720509427032188654889789163583017201933996593196317235132687619949587760511968718411140661513766632179687296896393649561494359599011989835244275458292495930896709978383691350575059868849864251247495236965797985010997107100809796846027902120331085406414316664116130237157457511183239656471247925874253535930410418622761669677280891192245847626172421829885825069309039389095531885358296178030521929805174718646697267510809893745102719508332934809703067950639683601646371726937434271508633861816103830844933008510621471903376093576820760960656711729079253573631701858042835318559711863342750840317652142245262623371409908931991599527176648461252249083019528677561576038781079327391856658086697600747057239618893084483826804329591100979489580659149096314021659157273367712937818309677269061462163288813203690129052721451412053116509049235498896297911430683153499721084710886996138947732741948001896458961376945201071543363214833935593636661340892470192163497453053721216896086216600047410572781419451426658723190471707627945940944339197725520965051323141895701511890378463048688225005936395165508398895587020960739022154769161471133767169093064818600436179024282468732986263081518474719054436347442398511063610122981157186913322378237631063996404781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 80 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400906 --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":1100000007222400906},"decimal":true,"detail":2}}'