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 5 digits
↪
Term #1 of the aliquot sequence of 43929 · 2 terms
Term #1 of the Home prime · Base 2 sequence of 5254 · 2 terms
Term #1 of the Home prime · Base 6 sequence of 11278 · 2 terms
Term #1 of the Home prime · Base 8 sequence of 8159 · 2 terms
Term #1 of the Inverse home prime · Base 2 sequence of 15891 · 2 terms
Term #1 of the Inverse home prime · Base 4 sequence of 15891 · 2 terms
Term #2 of the Inverse home prime · Base 7 sequence of 629 · 3 terms
Term #1 of the Home prime · Base 18 sequence of 4323 · 2 terms
Term #1 of the Home prime · Base 22 sequence of 16297 · 2 terms
Term #1 of the Home prime · Base 30 sequence of 11293 · 2 terms
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of 14088 · 2 terms
Term #1 of the Inverse home prime · Base 21 sequence of 2018 · 2 terms
Term #1 of the Inverse home prime · Base 22 sequence of 3655 · 2 terms
Term #1 of the Conway climb · Base 2 sequence of 5254 · 2 terms
Term #1 of the Conway climb · Base 6 sequence of 11278 · 2 terms
Term #1 of the Conway climb · Base 8 sequence of 8159 · 2 terms
Term #1 of the Conway climb · Base 16 sequence of 4975 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 4323 · 2 terms
Term #2 of the Conway climb · Base 21 sequence of 147 · 3 terms
Term #1 of the Conway climb · Base 22 sequence of 16297 · 2 terms
Term #1 of the Conway climb · Base 30 sequence of 11293 · 2 terms
Term #1 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of 15891 · 2 terms
Term #1 of the Distinct-prime home prime · Base 2 sequence of 5254 · 2 terms
Term #1 of the Distinct-prime home prime · Base 8 sequence of 8159 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 2 sequence of 15891 · 2 terms
Term #1 of the Second-class home prime · Base 2 sequence of 10508 · 2 terms
Term #1 of the Second-class home prime · Base 8 sequence of 16318 · 2 terms
Term #2 of the Second-class home prime · Base 10 sequence of 3636 · 3 terms
Term #1 of the Mid-divisor concatenation · Base 2 sequence of 16318 · 2 terms
Term #2 of the Mid-divisor concatenation · Base 8 sequence of 7185 · 3 terms
Term #1 of the Mid-divisor concatenation · Base 10 sequence of 4011 · 2 terms
Term #1 of the Mid-divisor concatenation · Base 16 sequence of 16318 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '21191' --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":"21191"},"decimal":false,"detail":2}}'