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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 #1100000009043221649 1,178 digits created 2026-08-03

Value

41833753332590735292459792628201370638881736332041157422626776591783593951484131587884744591005869987058118502166605440823985024308920620581446181522995942412631357039228101480105041105457688850974144097962914348850329203030022189085024300471660754665134487970123905126667531060540171504278820756700641304332471567121283582495759297296312560381517950289005890275020220684461498248760195253564654798891988227506098271964602855527296379516152402006877357945936777736998838344479126141780282048628903947118225189017547701918957068587806827234511168836214491750736746610224721651920984881206003766378107216661734154229923713668175350669698454346872317907165087361791553128653059678531251359630442511622777099151715273873342332942199322455217447226119324026851267871311096695234999632756511577992465788503469275229306871191786672725058936845657631821756180332682610719209324693741532414061920239726983438816597075833419959029972545514054692834818887910428435638160173301724011669354947008517723905061766905883157700421853841360573600074454145013362523235216281041908886763966570800351787572261620119314697154589282913981066472683085654591566598705948491748099569789281135612772688437
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 1,351-digit prime (104 intermediate primes).

Certified number1,351-digit prime
Certificatedownload
Certificate chainshow step 16 of 104

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009043221649 --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":1100000009043221649},"decimal":true,"detail":2}}'