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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 #1100000009078966321 1,918 digits created 2026-08-12

Value

7407935939316608765651690862215568422462567288545589871973681983861570306132359306468304708566365615289892397209814668847731446622816736801069421728051647849816807672538698631623686309757773028191580256963893199331129078804665195173896047546253020811691935516320665275749626184433929666245840231403339185475784470556687063424387119978453688132084402073103035466194036766826993409551589739315483142895367336417056497112138875729715679341180880020255927777327362853690935802571669801319519947720184124567448702896816013454988165977357471827147104857359723905146645626784137131700994096736896379964330428627889353761473760254160304558622619771597253526074718965330876179585764522964579051939684434191287673690216084049935727620429756506222391150170804268537294248788545955605833789217040628849723276618620768464450558329968639819668976810200088318178295898069728400458223423732024309531559462694504422591793214558498014798088660678907282872275728407603270678599622396663637098749132801740683554139906714508712958270739569116381201660748018311725391320382636967799719063643201340040605515603607887186516146270542212691536297281886960435954092897110686653834519451171582975916573253626241561073331756243037179637195836616627200177355587636619759230557623840947837575840110874021838639588885930472957654307631196555642439152364021888072563153448572310688290548414217739070023172677636531733762425722102994708980483991907599799194249102137480376309810198060562765875037793535445480291838580667180592359668699159839246487328382497967351681380826454561764707092146279183788007987147529355850879217121058436702504114026442844386807981840208378325574324037790168518431350545683229093464426960581641137946971128044885337478386206460055271868035975015085937655634176745065567398863780661862293151464761195466782427833551133474292934091386284837767836560018600878636248103537182150674394033062585821542594769744146824617033335225099
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 9 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966321 --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":1100000009078966321},"decimal":true,"detail":2}}'