factordbrpc · fdb
Sign in
>
?

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
below threshold 5 digits
★
Interesting number. Modulus q = 3*2^12+1 of the NTRU-lattice signature Falcon (NIST's FN-DSA, FIPS 206) and of NewHope, Google's 2016 post-quantum TLS experiment.

Value

12289
‹ prev prime next prime ›
↪
Term #1 of the Home prime · Base 3 sequence of 3475 · 2 terms
Term #1 of the Inverse home prime · Base 11 sequence of 2234 · 2 terms
Term #1 of the Home prime · Base 12 sequence of 1351 · 2 terms
Term #2 of the Home prime · Base 30 sequence of 965 · 3 terms
Term #1 of the Inverse home prime · Base 14 sequence of 9647 · 2 terms
Term #1 of the Inverse home prime · Base 30 sequence of 7771 · 2 terms
Term #1 of the Conway climb · Base 12 sequence of 1351 · 2 terms
Term #8 of the Second-class home prime · Base 3 sequence of 2522 · 9 terms
Term #2 of the Mid-divisor concatenation · Base 3 sequence of 3501 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '12289' --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":{"expr":"12289"},"decimal":false,"detail":2}}'