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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 #1100000009039158159 1,980 digits created 2026-08-02

Value

434018583467620436537443531333702198394819532566497926340262507749028602513512118298004827936056895794624831634295287511143957098308133132976313681378716648068197128886841185712371718114981244809397668611450930603193077757759821357980841693302539175585879460324868367280952379130981606136788036286418803159726163534847682824305110194657272120812087817716398058760611435871247411438317268495090485971146893474106439489524609584951336338818627239908373599843457806025888606625119476895195737450908596886743597329217188368632878012429379633643804674932873846521631808793772300115460155007927022277956883590144397220446296907955056255537816531302344974067385061216333246351432839638026034004730154853880649269112021357696143626628814908438648219813485466670387325335658303782547440450961472573330937051333098568489480019076647743262624975761126036869589527844190497424159656783425703416879058501197320979913353583258033026115641430452671529825692433771384397849013458167613838222881667158109767080348554615863743325679499836143961456695350409195564793101348778452085146110871379143830632240974082715831355827674336020053817039841225926891567808501615180445661308039468993102642819877762226968394432684582542014007217373657181782067630529844737122875818138783337304896607916078061732493619085502351449192468931879794717047090254687398036141539051373091614217267361748609662729483876392436444442937635846578172926203258328332157545859024485723841255835363190991652848012522577182981416639547031047804223349559690460002598822834869319058629411478698611412129476477684177365544176749783470509478933651377034762455262033036700646689363395958318573422795473585266860038595637217655274879430289099284267525397419703722336803740093254404403677849105791556776067263033280794431554559420457522606516007973503670324126411855248773410579532557630166868389848869640477174969856289164150095413690536575624564920034244318892068533918877662389890502586719380787065277189167868501765337749025282071749
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,804-digit prime (212 intermediate primes).

Certified number2,804-digit prime
Certificatedownload
Certificate chainshow step 61 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009039158159 --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":1100000009039158159},"decimal":true,"detail":2}}'