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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 #1100000008677296739 1,601 digits created 2026-03-10

Value

12159168069602131235108443680382068337153590143210818250500146761783268552231163561959985944834019143413956764829831018458078195214191963195878264713347556691830969712503272530826346103468855573881417280198190942849214044689549931019878159985264092805371563161410405568648287512973998646140871759115780325456799383881022834563884223799839376098237920508232873588916269243939698482330741177576389212527566824969550484959810993850719554800560455834141025939945000081485773785947866178523170475671654744111946776812212775734592770673881542382828228878692637753276822785926533661032012893069807237250319774957241613334676132971407253676839358985153809021791774328469282133988827425731122657633011806316653321513302598301411078740111816382685264127942092815576044530221476490764440526774588429221768440192386656177153152346567780223021974578847869819801944605205018355092862854594668200104642433369076128059368812223406002901670392503274472994806346146005393371793039807033008811170525791143721816439407588265590834882720373058708666709551458557881367475105965496213357659823016318013480296751436221302660207249896855373973842296262272258645396587331048295069773195232027269017910363488546825858509672989262863623309539635703448088834709699930411632528493521833746813462691674243836048000409734706209023365994626346563240106177012625503368109588347352182952518129309836367603450314773906822215764620717602934069855686547528293464466452759464478710699680779452699467970554241611161470271705179850327138485104083707679766786097244498010168534603836651610505884719302815361451051876044031657369810690595293023
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 1,682-digit prime (185 intermediate primes).

Certified number1,682-digit prime
Certificatedownload
Certificate chainshow step 8 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008677296739 --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":1100000008677296739},"decimal":true,"detail":2}}'