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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 #1100000009078966367 1,831 digits created 2026-08-12

Value

3124482649810066822142123790152436912335706027161420086152292728084445465804552153302511027108082193197575490262732255063127909482163738267294559187999743422969693208945566308439992888097981574179672764269976233749356727324948971259989198280177058301099137992098227020263017845633100049293633460697106389417215746871016337427465868050470812776221165371142025947051030974048892307556243901588441288090012007319467767211856891280121722286776607474366189902791008662723694614702105387349547557029281993201270951156696529539524845587141341303872092009392518853839648391746611721681611262352863683899019275279033351295705503668996775391937815556235357092355381421319956180730519253646181389035836195188088507229714571753342613942065001387733281569007429849112135516339193072937694261885215441511764189166246094443915211159403224402808290218960925816920398779735035061175420299448050260853410496517006992715168784527914618411918323515090953997728657327931742220247108358085823473171136598278791757338011226317378603864045127332859386081530305933377368433689594044152553698959330185250578087837891875501940275199850667282363548870640801642131818526891572823690187979844017487674268304616482803338257656226179236645276159227127206703543164027532339526199700474981608823196108495350783413959537208916470124175530999549613554056097134615440974023159265524245355848037593906380140740076908966493083266252992788229227311221430492275925949634109502835920560520551293245869797080106434904302571198367855472265182448957669727815603412237905831778850407049818106692633819177138839685740565795399208752978863309681625948518178515566997991882171292843138668124033875366779420744402971564471250774435131819536856840966573434170292206274964838119413095887218296851713905968080571064067762216940915638610918592371659366366736531587599561425593211857811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 18 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966367 --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":1100000009078966367},"decimal":true,"detail":2}}'