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.

P · Proven prime
below threshold 4 digits
↪
Term #2 of the Home prime · Base 2 sequence of 1594 · 3 terms
Term #2 of the Home prime · Base 4 sequence of 1594 · 3 terms
Term #2 of the Home prime · Base 7 sequence of 295 · 3 terms
Term #1 of the Home prime · Base 9 sequence of 931 · 2 terms
Term #1 of the Home prime · Base 12 sequence of 657 · 2 terms
Term #1 of the Home prime · Base 18 sequence of 3077 · 2 terms
Term #2 of the Home prime · Base 32 sequence of 1594 · 3 terms
Term #1 of the Home prime · Base 33 sequence of 455 · 2 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 4842 · 2 terms
Term #1 of the Inverse home prime · Base 17 sequence of 2299 · 2 terms
Term #1 of the Inverse home prime · Base 28 sequence of 245 · 2 terms
Term #1 of the Inverse home prime · Base 34 sequence of 1837 · 2 terms
Term #2 of the Conway climb · Base 2 sequence of 1594 · 3 terms
Term #1 of the Conway climb · Base 3 sequence of 1824 · 2 terms
Term #2 of the Conway climb · Base 4 sequence of 1594 · 3 terms
Term #2 of the Conway climb · Base 7 sequence of 295 · 3 terms
Term #1 of the Conway climb · Base 12 sequence of 1971 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 3077 · 2 terms
Term #2 of the Conway climb · Base 32 sequence of 1594 · 3 terms
Term #1 of the Conway climb · Base 33 sequence of 455 · 2 terms
Term #2 of the Distinct-prime home prime · Base 2 sequence of 1594 · 3 terms
Term #2 of the Mid-divisor concatenation · Base 2 sequence of 1594 · 3 terms
Term #2 of the Mid-divisor concatenation · Base 10 sequence of 4116 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '5689' --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":"5689"},"decimal":false,"detail":2}}'