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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 #1100000009130191688 2,971 digits created 2026-09-02

Value

3883882096344079236883229339750805546791672434817116700242543580301691473160056713081285934923397419627059144805939054542956627997294888101378932372268310024695552149215686094052175283300929372444656874331090623743196472782132083750695417384544880283323596273050813807032091377013212049336314923996001280301827688084641383285082743077035199792639650990436556126402889439571749763540352399324773356779804452190695691630506977498072979735285110683774717028449709765071310422543193313081659922575840498385233205002549786004241710265090863435684345613088689417401177423122294776096275651484728515929651444206850330362390572697618715832367669698122036337434998781450026055147935103577685390586181407048354096541960534944136956538789422794938283191544422001075974078706446044805187277877084958290812098794476569788353878633400143065712506031892969843389917457696527461484202204893761058141909144977410201482912366626327531272158690148887814419188183317824294142417462585865627667472526590065223618936472448776275046360378165114893811891798452086371669251727018081938204759179891999509167155976832709692946677875597624060919121350201662683855471647385584979367820125870953913436609665447117850418326979662152431847287199118284078791443043524508187135693152371858954237745621276143383361747235046792562566206505638554093928828345670373094917190450719074550805073803229068602281571420517778489130261185411705681334713177548251441565952975543296124144545601510756372397254687393992059891510448106784046092801116605295483316217893605335736505918608702696184388072511755505659389265003617612499834305461166166377820865734946957653825173941254358612321854203270397244918827232210346042254704002647701701136749830456439664629517399488154256981425970322707933997666282985926839378157413169099904799850697097835723117176891223001456359926613466528769916730105066066301314628016288014039306369330531577745900150984064822017472193987458488726521332507382613079426526623865510513611512255889399163203217391930049816088465694607027820689001087264406769252978401551210939461537269499041543033144353619398776210546509742508917716578616136442021015477058653949226320975493919768958899347480448109427680014894838953050947816019363184178750073256071648136759543080129433839799245880637794500913469544323574493055468330672518080462118858642481196541854685779150072119548367027625701600376493097903826446344332461695372878618020243632462144650178244114693223944495098101023940400100628479175579944720015156960848214449054590260990114004845559366127023266659607680564115575208901501726316548599450868332954174602825364576119179768816580739320553536737529128193546698685667917361929099658200779433480610718394050843528503718146965899175722014981977093642969061142296927388818742635346125663983312318191431408110642729345418609799345931280106710605761683738663637078343700111664366031428502345242900821380576917306424539975642474727310207222922539286319437578867608397259208979576741075406804023996191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 3,154-digit prime (314 intermediate primes).

Certified number3,154-digit prime
Certificatedownload
Certificate chainshow step 20 of 314

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130191688 --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":1100000009130191688},"decimal":true,"detail":2}}'