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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 #1100000009064579221 2,307 digits created 2026-08-09

Value

308460291492335160594639494984612811508577178479468319649675780144853253236348313611779360067422516903256989346257436074377286041965598022786658468358662487249124194510920150822471093832645362152005799274762181342856607524428944479221005267133974908022893173122082146209598851993856353635786118696625862267138714768166270714426234662531956532306797532640203470905276710754941584260812824499665333125817016468831708568206454471097143261725864488966662127855731681443218051471218144492604195603750805338553153081235996311604949161198965529174533790114415623884871785532388109562220599069627589240838315478752094696751832334198130651495436653360742463895663605713824821010439384090378110055339021242835591270664479165458184878859978382451856879794286425773809491764990075175239049151152323347806310850290977894051039891937915571072682160852927562457457872513987775067851096651579274924910042693277052703768899231453221165121700119072174676512669024828581096595359071022976068793317334525953707129535051705326064680983225859557602061669839724628559605747157092102558554902650763954988383339901626713572992457671318993886612586551849382386774504645362489043515120464447040329228291079055000775167846614409220913628692151134677961208213801022766484967562550771056709081929182548352857374826921493349682774342995041223309919315563940110186175548107163447181503833472374498118208430362297667755952153276728130953566683042707952532170141112744414235487212059824037168300662050842295107160763716675017875266296699216491880851258653706350259585538626813516708170669457129172866100378493980849662893669019506670184298054568192888498269311709378371829166100001981988951543292884644266794523789396742856463981053431093192680602692421309668897052571258995892256566005701663179611478682560043722271546509438353027917427191756114411100923309463105079790066288332725243091585323371762822114315213624499291983631179356433137024209707322754785464320750790306130214991955741156601006689418281889321265713371108438028785872103793400219633104947654233054363033415635811889987032118850884610471245944225277101175951991719072461548545776198526157861393967499546898614977358176183040461096558913178519481095212493756196950989670299103987553620639615324256772436093286966858636862058845340806453884315752480570628871028179337813971899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,573-digit prime (194 intermediate primes).

Certified number2,573-digit prime
Certificatedownload
Certificate chainshow step 21 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064579221 --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":1100000009064579221},"decimal":true,"detail":2}}'