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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 #1100000004813476255 5,850 digits created 2023-10-24

Value

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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 6,356-digit prime (658 intermediate primes).

Certified number6,356-digit prime
Certificatedownload
Certificate chainshow step 44 of 658

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813476255 --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":1100000004813476255},"decimal":true,"detail":2}}'