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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 #1100000009072282377 1,918 digits created 2026-08-11

Value

7117636681300417829510183720660226992984605167316502306516272427849395481077680892668185601154571630889861011682746993028289662456063400185288343947565715472276281569947293979282754035122769577205597617884793931755032112049826134375117231651934918978806029171809909688229740591352074651056913934685084807182412661750092481240752425804827693659348454519481067368017447609729237098250998417509543666144479564893605665223685134590862394373335949700944692470259413714959137623586476247009203715788179616851342784750420413118546723269658777541191373305244120043912970657967316681084465392079619990451596735944893080229427176205250352217509985438273508378549584865335518455490549771585176422585895677499099034215492627304237229520844028604719107117536984454290202802305892859844098852478597896321671021473665737434570449196766555066810406071704174050490776995815731607812399326885127943493090158491952526270198861877171264177974646487335264319811628852678006436336584600985904580054730083350625744785769424644193892922478555431487898906720712612459223886929655159699734924556145326802012503632350850724408521006586146371571105772346391776804568331686872261517753128933780895375937739207650391818429577676843988901746072193133725563286764610771972374576365472137825576122985633035766628486280496235710104357056451511559991407479727725954275558121162661911624731870673884934172706991318845263205344177979120586379289058844351764846218835000467442362222375300506997106636163268350108750785875830522357105568901063259183243600626983336535625890604207849298010352028688425857006123742458037309385915856783913753132638174337796407416798622337633647937964346652574139082580552093595139241389224855584180956472525188746313689584561308956107109686583686077268543223158763767898192039416397357248708351515540180418387579919772700201913169907084556954751824567454233990409527411690853942680290705589452988852592061325650154245536953393
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,113-digit prime (172 intermediate primes).

Certified number2,113-digit prime
Certificatedownload
Certificate chainshow step 19 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009072282377 --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":1100000009072282377},"decimal":true,"detail":2}}'