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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 #1100000009084386728 1,674 digits created 2026-08-15

Value

894202665997066528530843237767165841285097181385979746814157151517794628949080643455810421833577861695317828994392925280294143537990847077083766588943280334530829503062223577815882642543573338717211851679845100724836888028026643172600968466384371404424369999486360561361323215073272480071534868617772459804825041538903591812162574100364982471175281436994996479301078497597425896193493743436462151433975571688147408691033011644955512203106767980335662036248950762736425680721619929749092199061275031973558268198755655066545669705295818687414123536240282882824916224087725563546105022980504504537320281622126080194075503781249348438312866963773317023469416414798437082063051788701388402842876628748081371181589321083515321335770686659824100352997207028438976945849395544462535739083416273341395149153681857886908492081197715732494537591294765065457263335017641810424319499281670494010996652762706941941610876170706958078495813119636160717209715444282358320521862253247893395263398484261196670713709542931708991825882691065458560171841497790811567589739763307997966423270103343700148563219546561707172069537630069409460788780527016858085908892045376036849414267307064517797706723653342693747109670806713692109584359070026540872659025499077293181945592663465025600284469590329330040673662317030087149659410241794986448290811796082801459031188967586325622990138971465273029594774566991682597586310061677021988949752963817863209527820329930324631360465545675085509834537774039554601988008094130265031000829512837122232920746288022456534792757329996731825975422033836309866290284950236663258705448118396303530142963934417603727593499512589927110421533612666200164636510313075126001
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 1,956-digit prime (156 intermediate primes).

Certified number1,956-digit prime
Certificatedownload
Certificate chainshow step 27 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084386728 --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":1100000009084386728},"decimal":true,"detail":2}}'