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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 #1100000009078768197 1,656 digits created 2026-08-12

Value

124795701060049358053248964134876302032342741980295901202320302769239925816913937569154722954787736872475141669816261842938951744741854849202250663045276670511544311902591921282473362750723930341337999913475905735848886027020083308873822688621211533452950312473272400323346753707271043443100444280305331286768211330659289625752578837184468947313046497841850995962249100139189741008115279539980866281276447890658321445421768618789441532016666119157810674859679142065829060616563998250113178909324539161364804496581557699345246057604515631054989714349631735117028946258915285548264852332632243877794271796846138304705502165446236813951693526889827616768774183380043525665840080268341617667755985376087070362943437477176761554646965864009148630019457329856035960995290989028748530192987072151950925661221531575151740122709225388521927198690244075004870280693200952715224241832834100455140419176619948300158732427345061567750483159731427177557387328986179990844518802225165281988850336691590234941912821282867862703425583726018525827947634987043666181971194871069651538086969098886565791816381245388408933427833297511851153710603402859999484512881236647145406392545454261656069712916735302190868052397407371505224332238743546067468424156878002175519178565523825090797370942933628960739403411003575723054360012384309661706466838067070016822159963489033973524162092336351199583487727802336572802200614693573319083744584097999806241994063552205563750483291803753108068223048552952763619898744292827080778156154642870781622261293821550293418671546316910187939682333905089211699167187836218686009880032000559242733005571288562787254884391317014962753208114425136107
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,153-digit prime (152 intermediate primes).

Certified number2,153-digit prime
Certificatedownload
Certificate chainshow step 39 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078768197 --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":1100000009078768197},"decimal":true,"detail":2}}'