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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 #1100000009074148731 1,580 digits created 2026-08-11

Value

12298583149435435047017950696674142286201429205597701044875282178282298687678551834650977040393501656835864172033554714178327641461423077750756853644179099258689614324118600086516478308876471259439346112624754759304690723407258643510018635792358004563354011028977101088053129168286090705510430959149089172970144330294723937043260562997504249941245085372586604694703841824200411797014126097008341974356781406348111164622742466572552859899911583677211856611998479464121589724288584959615115887388499393309386853825343090110262339376720697258395744750702084525001359108072189282939918030017993096316363967356367090664472295902722571465607272605174246299745319012705119250914953900309605652542048989050738605377327615032237831255761180181775649752534240891042009649656511107850533725462793405387857620388459423421566428736498630341571282419826203213252379843931429054060546795168766750452110813547457949195846180043823375015906003048780816263301096664296369209417290951653735491646614169056239380998174415991292750748703789857352275226647930373621151382488659849134127365579331949110458377875861795855868062853684638824615929241925060501962595818807229747793475018702512506430448693852748449503378703393437911707494660787009021031163945326730154806109106507750846894179103091266196223872804308024107259772276879285459661793034197625607682797424469509130160443709769201118317631750300765423270574867164770531664508045021690540999721412660017805301801827969898512771048090018083528575010737920365614128931597956538201538018936125709502309539771708972813958434667543104469643115570873857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,124-digit prime (166 intermediate primes).

Certified number2,124-digit prime
Certificatedownload
Certificate chainshow step 46 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009074148731 --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":1100000009074148731},"decimal":true,"detail":2}}'