factordbrpc · fdb
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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 #1100000009078003625 1,542 digits created 2026-08-12

Value

782428739754994193082512432058805139500245100443455653354856444213765722476183502307370450086736723953666634665151988126945479450927912277831337973973411931905205443882587745987935946264105123968367447314331767068101379626262617528834965881010815556467011141962440128142381324647958537340812865090388774290127394479253664828109064662293111930995504072794614112796286274993822231265766850579643266861290939718426262117360268952255002841606491501587848828661444439673045464924378930261269787608186864731963327013065290433575440730272684042091765451898411068308786021474890271533555991921796589630219707829418591537332709742365930013278014305278854005819071446714564100527000526436837860544712047409563279929715382772018244290289503642955243938325404504798689979556034553099751840271927169065469695758966558134649643347756443860635839052541919490379943863774985097974215447701601174779368286082835261444441050942895251969796188464408726271055525829804105348288371350051338174138364053550153730469638155098603296678001134547992798795606597311337643853406202327651852715967070348232334637730316467864919589381937159404289774639276460622822764007694712650753686130076845855922803375046633170623387905300385473734917036137526795677446770254947968261902065957319352676413358616019814942001582459220847913283746397627545034401966762949681320729386298909579324802977349268469270426276329429434089206979866758291740068090535526298770368149489636641236976538126746627832364895300109851360788400046149844384611544977406012342257182330107135068859849037857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 55 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003625 --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":1100000009078003625},"decimal":true,"detail":2}}'