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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 #1100000009044574003 1,127 digits created 2026-08-04

Value

20825489941437435866617937013521307392798645960875204870400138356689129527693856099178907543090661783386773664924556685648556178799743629123129252569036778352401447109472191478321841861221601720239429372016938595001530038987638239055884300775397856765839251222170035482118117559589133988423814408787949749725860404683112989268199669980597335820998818284782735858448459661873479942166529880315791430667309634442788354333257247798766660672950826245398267045147258359688927078395322694694717394294663801643547634600744138588332796003068831914293531773413115017754271221078662306463944673660697115221170319026152366208723178254430235087501688977199576233865181967460008904231647806585688789173361950494536963239320132610566628573655453660407763914220896954915821754606705284509931377750464477419380156599763064803828158941368620836059263457782451099126012327853964575408180993293368404102066708156888204891333373313825345407481197072273842110657549295621442312297408413024214836993905537488899802470983879387158620222518356803055343619443590584013183141769113393672560003852462954696538731056982963462269322049726829521338109226179
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 1,402-digit prime (114 intermediate primes).

Certified number1,402-digit prime
Certificatedownload
Certificate chainshow step 22 of 114

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009044574003 --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":1100000009044574003},"decimal":true,"detail":2}}'