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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 #1100000009029044678 1,069 digits created 2026-07-31

Value

7357226236142065166891103783569764515390812156056524086481791132124476009392097069058286008181028014577713180136088832082557729029693398378915499356346341924899925265763396319269188536046698593985611875894134527529750888311402298757907449664498018758329316358246362929364208195484897907566521196983438173897340338732458896765470217650989981370878696849833808977918092072606589738986321074522884683091434331850090520767671661119954915773402179001354691295365035728381009554337829296240488294588274076996739478705188468028517239694679349191394454128794745854355504425013819211206618754005341413056852603146791348393652977669590763986553718155979531957081968838843970216204406200508030769350139999208123344563827501040517574395904558868196508562779832231821596738978760096351759524230693997167257726228813955865122765212847257798499389036345693476142656709693623055686907134637883060119841208963003712180313088608953965176610613151267848141766437166505889036083548160600148396618085013257612782782251366199677529753406190972414144874140224778216640705121950656172944256291
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 1,232-digit prime (102 intermediate primes).

Certified number1,232-digit prime
Certificatedownload
Certificate chainshow step 15 of 102

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009029044678 --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":1100000009029044678},"decimal":true,"detail":2}}'