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 3 digits
↪
Term #1 of the Home prime · Base 3 sequence of 99 · 2 terms
Term #2 of the Home prime · Base 6 sequence of 24 · 3 terms
Term #1 of the Home prime · Base 7 sequence of 148 · 2 terms
Term #1 of the Inverse home prime · Base 3 sequence of 54 · 2 terms
Term #2 of the Home prime · Base 12 sequence of 219 · 3 terms
Term #2 of the Home prime · Base 16 sequence of 26 · 3 terms
Term #1 of the Home prime · Base 18 sequence of 346 · 2 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 704 · 2 terms
Term #1 of the Inverse home prime · Base 22 sequence of 259 · 2 terms
Term #1 of the Conway climb · Base 3 sequence of 297 · 2 terms
Term #1 of the Conway climb · Base 6 sequence of 519 · 2 terms
Term #1 of the Conway climb · Base 7 sequence of 100 · 2 terms
Term #2 of the Conway climb · Base 12 sequence of 219 · 3 terms
Term #1 of the Conway climb · Base 16 sequence of 135 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 346 · 2 terms
Term #2 of the Conway climb · Base 19 sequence of 501 · 3 terms
Term #1 of the Distinct-prime home prime · Base 16 sequence of 159 · 2 terms
Term #1 of the Second-class home prime · Base 3 sequence of 198 · 2 terms
Term #1 of the Second-class home prime · Base 16 sequence of 90 · 2 terms
Term #3 of the Mid-divisor concatenation · Base 2 sequence of 320 · 4 terms
Term #1 of the Mid-divisor concatenation · Base 8 sequence of 636 · 2 terms
Term #2 of the Mid-divisor concatenation · Base 16 sequence of 135 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '821' --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":"821"},"decimal":false,"detail":2}}'