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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 #1100000009053987473 1,897 digits created 2026-08-07

Value

7311675056089712425932050717282112859270130268143367625510334284066206975040794934522194199351118820866945873609933730552705057257299774815980421661725277059509613294082556341840996329123586004030843196358209814601385262039591826907504621810937385999566392871823568224656643628138664261973785653269725776475723169819708809882682043872797550638893062156339495093996797623233783889931331189818638169908501482418833908673733315990063496036408416227064527991150298206073407209764989448381178193713538278659878151998398611770636646718704206727659541089812719345110915828650591781614839704153250267602239798580107477317861261255780624470336049233122230422667446974230228134090563205828322701018872345397555103473691695227238472354682579299714001597865437906607992589086967146370256343257390282704788168358600932474988660687085985240751851834168335614182231018041717323790189846141038033160419493996809774319389866070392767613856303848244616175257927554305303852690039415151054653869570210400051981841328983532215078204466353455989755684661985998497575332327429513115933234563400622708864858097901235265755686290537546060949653003219609525219844020665837404098843189154076979118000008495298715940901017977207090709888738359736348058744885133423689412940586168192634060623045252147162708478340689455419518099452219761596428980191940663001613894864020438675431175102338019557613055297975566281914986498327140080650746871299591491622495204699780265735716723921389541105804704532887668964657602209772226660337497623014533099724575551422450139451379883984260458874541845959145742759507532033393988306808542083366670837951310218018158452009647142042693284772879557697330460326268724575185671748869950665234026009234327247951106662455200424264364614427340734031147387427999019045886973260909136108901628901198345684336103225269608721961311492177024543345471900190242333145283322979273239009025009074278923465931
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 2,857-digit prime (212 intermediate primes).

Certified number2,857-digit prime
Certificatedownload
Certificate chainshow step 74 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053987473 --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":1100000009053987473},"decimal":true,"detail":2}}'