factordbrpc · fdb
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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 #1100000008680836362 2,231 digits created 2026-03-12

Value

19786446174203504450340496586762744401996277682335187003438025080953814688161182272114373893820250980861698972347581985884356530178873145543574254072123304516236136591301237076250006981567432045765211455564654795787555717872734758976508306631700886170789457412931057233415610718252227547480065843519089995303627748309368563500272910357356945117610694776598740901932278921007007197346796459641040049241620001116145118597881979266242134399200875861045880326765352194014240390685745477610842878455579837733940067804499357179964291310830213818905919290753625133466294229431117415492306052372387828621375671857408661456469294812597646415530950398754661590466423223152784760794499786239301263373239103734797523241182532772355482315804112713224879048033507017314565456189998199047151121479420804651325364726912862808230532527238919978165827950299647680488163798997947487767694277097896251926823099105431082691373311277555049361290236569154483521651259276980611883344727284903608181666800821691472525435390465983858562373601504219181082131267053114016348548338357289249178137139281033272361957759857363696201611715480102209321939489795127117772270569169206249563817493463097552232155172444913681413268526965178646834814593954985471653364286465744289790366850562488980530082823197153306425330296496508621953509811436358168986108544348231243516525723971169520994410867343014285682032521032916933122938186960333698423049764379501887824803544722010823007509812296344526265644102059675266665223815702376204474287833361615306607672381432016979832061094880945066104859173558990325568504711147112701044755970864935160259533809350072351446648216668631365448615913400325949323972067210769957261544696127485565867412738202609142650786433646986858598658312362988062663854582047672032105948617472093774901404306229842226927024354373259291282699624886855240718687372979154819192747406409550185298452402144224305074866202955677479097259167684570548454592864762374701848048452333491744381293486084219066787798992792706278167026393149642311571327372059079858249268602869721938443127599439267603032658740163764359311853829732249575175667923979920681611388102271631027805875015537881925587181742493744789444864137464860687933269075611692951557965662918412141
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,571-digit prime (165 intermediate primes).

Certified number2,571-digit prime
Certificatedownload
Certificate chainshow step 22 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680836362 --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":1100000008680836362},"decimal":true,"detail":2}}'