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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 #1100000009057079751 1,283 digits created 2026-08-08

Value

34989862824927899308104728653579748874410604253698082421997813063222200176031593624230901158183374644485659858526960213316891848440090284279334618413910341817246270281955858288787800120261362699571207462082503296532967698367860428182087603017751634283953302996250514977884433704186250844866219299808691227619617704337283982279247427667107659315570910538083054793786224696947069253203237477288964316484200535212952774669679561965138422973750069407813938059062214832830138366363602699401740856987828603981256032514762830709445530969098756214005624129225469731994886637454874190468531625671257942158057895800368626416424741280401523149703169887114884619555284903329083840496624894368936837107369276398352284879548019386306365832034747002603669611074502062781554794243502294189236847794914027433256073948839938997597679367679830209158160750169045654597940273679801809763808778934552426565079237598844775387123122531008052827701303444262663508174272201070500349930851568016656583915257050754894538176136131419541187643555570486858865353130862675058063032706339357771050385511446467012616711609649271025983395227583846981947408032855565563326755644114001489368740067171887199131519288584507022650879309854601618022328322063631811323929728382258047143753969757115524685387906058917515232007
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 2,539-digit prime (193 intermediate primes).

Certified number2,539-digit prime
Certificatedownload
Certificate chainshow step 100 of 193

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057079751 --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":1100000009057079751},"decimal":true,"detail":2}}'