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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 #1100000009053333629 1,881 digits created 2026-08-07

Value

523261391195566972162933344642466132394591816609594580939080004960383030217691663198406359231398311052762279883068471149479520076940253638984249122213949159341027551630548829145471649049911923346456668508422970501914336038443933873259712358670972259778550109301808971444583690206417328185643808904127387326145861124473868772720603010636121159075075992431030595312603204218328607316053605899015603462302977847069246534351788323495432749702902083078647222904764934519568250526363384493062791918370289783715122681460966757272169322012633911540925395470489310322528750632608206409259726044547152318347219341904800400958918264440766440605093835682075172068587029945937242967319362784891991050892683297847926675778585362273197269791685879441962490717099428832386579255748539869901146666612753409125577578578314937274137155595135102024401940754164200797545690958904803835316228712170776427618479969249120352743892748895543916881773173227371557221177541630263743103694321257684013662447873325767582360897046954455669674700228156550332990369187929441657260782230499641536076873844021481411830583394033342639510557228541889725133436247841065622094323835438140087616353902231795353967405238590019012651569679149916033867336829736195134009048889977452609657617797316640640970580711298453753075664836537287596250378254658394258946755194846291105935180966729656362039184671930206747535563218478728462099131167734917031419410729889835484457212447102736092453449068811774459129468335599279487510879202152677693493452808093117517703073074591772354729348578191862916384028444632526140463221868037204833029766112298427036106518671676413894508023981174897923485914477802939594419056948555346251534337927947663663036036808770822424990603903040061198421689239547872392875629371792018231512898940858417167433307605395454964119695316411741484509743857814591404272079726341657466694916642902559018995962679
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,400-digit prime (177 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 39 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053333629 --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":1100000009053333629},"decimal":true,"detail":2}}'