factordbrpc · fdb
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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.

PRP · Probable prime
id #1100000010595508225 4,433 digits

Value

1265536448…99<4433>
Is factor of

Primality

This is a probable prime: it passes probabilistic tests but is not yet proven.

Prove by special form

A Pocklington (N-1) or Morrison (N+1) test proves this prime once enough of N-1 or N+1 is factored (⅓ suffices, via Brillhart-Lehmer-Selfridge). The two numbers are tracked below and factored over time; each bar shows how close its proof is.

Checking N-1 / N+1 factorization…

Or prove it with a certificate

Build an ECPP certificate (for example with Primo) and upload it - it is stored and verified locally, then the number is promoted to proven prime.

Primo input filedownload .in

Upload a certificate

The certificate is stored and verified locally; once validated the number is promoted to proven prime.

From the command linefdb · curl
fdb
fdb number id:1100000010595508225 --detail 2
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":1100000010595508225},"decimal":false,"detail":2}}'