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 #1100000009090411549 2,002 digits created 2026-08-17

Value

9685586131766893230581451621616692365286224411410482653587166223091362822864238236664470583036134015176899955132361634854820922002652356011987032700884488765157232119584941223248406032400199637530110600937257369757629739786173712817422253201770576683353637666640340314784567419869396188692761282026883465631099073030100085541118627081314026721588168904881982851773279134453213413907803185614253212172636954971705506380440837303497727690943317208037561604811251855830136416080614783048900731426220265620320425723756074923762808306949110561602733514389808002154580891987394260984513718821582494235942285042337947657333481172942139131769786969957686205913736446078482161103820466700253698748013995512965679625922985987631350687843381758517432237547052614651378354534919063346513899502798858236368460322145268363006121272333755928590801535719588736549744294673306470931685245554065377559800244398481415415203376222927711759875474591803341823077351035473503169174567922492502255136399252858339417913833919765110282745885897337781422469398980643492843282325586745182361159601895722036258217817321179595241139453103184275906162569063479981077947960518103395538508474456746787895967479442392293422176965283114540360580903591721000298033591782424206581969292380180081522975111318697992924605845350445673061047828702012876866313195346747974344525592868798850027876798811439183416164267115595951553239320487754918200484052859825339273829833458257561611563643875828392030104863368545534157983330359943681088064116431292944372621278032263200037293572073519704051364413389617044877025397025710293042282079247326553437020756471154062203952902138433553425926555944553204941718675233243804872250931341627311638007032362934071018462353840207284077668986741221857578857071967006585771694445078474309094158723652348931615688750590531574492779313440007311964351892066356986752918444095719044082105878220937485811849451567062606140229604995508714546028862590273313509195430562439165159547863441032740346842380808285558146589
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,069-digit prime (154 intermediate primes).

Certified number2,069-digit prime
Certificatedownload
Certificate chainshow step 6 of 154

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009090411549 --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":1100000009090411549},"decimal":true,"detail":2}}'