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
★
Interesting number. 11#+1 = 2311 and 11#-1 = 2309 are both prime; 11 is the largest known p with p#-1 and p#+1 both prime, the others being 3 and 5.

Value

2311
↪
Term #1 of the Home prime · Base 4 sequence of 526 · 2 terms
Term #1 of the Home prime · Base 5 sequence of 549 · 2 terms
Term #1 of the Home prime · Base 10 sequence of 66 · 2 terms
Term #1 of the Inverse home prime · Base 2 sequence of 1731 · 2 terms
Term #1 of the Inverse home prime · Base 4 sequence of 1731 · 2 terms
Term #1 of the Inverse home prime · Base 10 sequence of 253 · 2 terms
Term #1 of the Home prime · Base 18 sequence of 301 · 2 terms
Term #1 of the Home prime · Base 20 sequence of 1555 · 2 terms
Term #1 of the Home prime · Base 26 sequence of 849 · 2 terms
Term #1 of the Home prime · Base 28 sequence of 1486 · 2 terms
Term #1 of the Home prime · Base 31 sequence of 778 · 2 terms
Term #1 of the Home prime · Base 32 sequence of 526 · 2 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 1722 · 2 terms
Term #1 of the Conway climb · Base 4 sequence of 526 · 2 terms
Term #2 of the Conway climb · Base 5 sequence of 794 · 3 terms
Term #1 of the Conway climb · Base 10 sequence of 66 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 301 · 2 terms
Term #1 of the Conway climb · Base 20 sequence of 1555 · 2 terms
Term #1 of the Conway climb · Base 26 sequence of 849 · 2 terms
Term #3 of the Conway climb · Base 28 sequence of 1371 · 4 terms
Term #1 of the Conway climb · Base 31 sequence of 778 · 2 terms
Term #1 of the Conway climb · Base 32 sequence of 526 · 2 terms
Term #1 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of 1731 · 2 terms
Term #1 of the Distinct-prime home prime · Base 10 sequence of 66 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 2 sequence of 1731 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 10 sequence of 253 · 2 terms
Term #1 of the Second-class home prime · Base 10 sequence of 132 · 2 terms
Term #1 of the Mid-divisor concatenation · Base 2 sequence of 1052 · 2 terms
Term #1 of the Mid-divisor concatenation · Base 3 sequence of 1204 · 2 terms
Term #2 of the Mid-divisor concatenation · Base 8 sequence of 448 · 3 terms
Term #1 of the Mid-divisor concatenation · Base 10 sequence of 622 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '2311' --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":"2311"},"decimal":false,"detail":2}}'