factordbrpc · fdb
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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 #1100000009078622389 1,496 digits created 2026-08-12

Value

20827357848357188803784442363809056447462751836200545562927879852724626941000267638526127872975928770120971103957936494587340322090703173327317308177334170955010719948237340425207989009808488651509576606957693964836780007223377169407321339711073602482354185532147710354682244428068394262363004898586122310480558644656263983802838660480566370243352292992805804948974077253201296572082964749655394768810259848035122435290181873645821504710801188290357804545183503994845265840311503580051056076544901257800258216180479423117986268615024967731739021421266174025163640163244244719765015068123497118919096081613238596922926435496408979573387951103498079150737615520835443007876532402388415663825407296173639404627945044452076078131220197615287909035637170928258679676321027196365070953994321944489726385842782001960797676458369073206736531163907904675122907890308642872373786617463850574395876835104337742083556830763271128877905282222281729818026988135942983376446243880501580971313826167251312237106192293724880589556640325390645332949570021477319697211382660465588482402664498010880187767320833088292304224253822402264969246939019009231165120939381708020122798627465739018064742404699768105095593374203461398898531718595596188006104486951566566629609135531423661368525291973139782259548650341225603458763218286148691163008509451516960815206161762275741326263909837066225827053677554264956861494289442292614667918030765039425395494336476377643504799251646220843704351439430734173558057851748648882733
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,033-digit prime (163 intermediate primes).

Certified number2,033-digit prime
Certificatedownload
Certificate chainshow step 47 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078622389 --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":1100000009078622389},"decimal":true,"detail":2}}'