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 2 digits
★
Interesting number. 5041 = 7!+1 = 71^2, the largest known solution of Brocard's problem n!+1 = m^2 (with 4!+1 and 5!+1); no other exists up to n = 10^15.

Value

71
71
↪
Term #3 of the Home prime · Base 3 sequence of 6 · 4 terms
Term #1 of the Inverse home prime · Base 2 sequence of 51 · 2 terms
Term #1 of the Inverse home prime · Base 3 sequence of 28 · 2 terms
Term #1 of the Inverse home prime · Base 4 sequence of 51 · 2 terms
Term #1 of the Inverse home prime · Base 6 sequence of 55 · 2 terms
Term #1 of the Home prime · Base 12 sequence of 55 · 2 terms
Term #1 of the Home prime · Base 18 sequence of 51 · 2 terms
Term #1 of the Home prime · Base 20 sequence of 33 · 2 terms
Term #1 of the Home prime · Base 22 sequence of 15 · 2 terms
Term #1 of the Home prime · Base 24 sequence of 46 · 2 terms
Term #1 of the Home prime · Base 26 sequence of 38 · 2 terms
Term #1 of the Home prime · Base 27 sequence of 34 · 2 terms
Term #1 of the Home prime · Base 29 sequence of 26 · 2 terms
Term #1 of the Home prime · Base 30 sequence of 22 · 2 terms
Term #1 of the Home prime · Base 32 sequence of 14 · 2 terms
Term #1 of the Home prime · Base 33 sequence of 10 · 2 terms
Term #1 of the Home prime · Base 34 sequence of 6 · 2 terms
Term #1 of the Inverse home prime · Base 23 sequence of 6 · 2 terms
Term #4 of the Conway climb · Base 3 sequence of 4 · 5 terms
Term #1 of the Conway climb · Base 12 sequence of 55 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 51 · 2 terms
Term #1 of the Conway climb · Base 20 sequence of 33 · 2 terms
Term #1 of the Conway climb · Base 22 sequence of 15 · 2 terms
Term #1 of the Conway climb · Base 23 sequence of 9 · 2 terms
Term #1 of the Conway climb · Base 24 sequence of 46 · 2 terms
Term #1 of the Conway climb · Base 26 sequence of 38 · 2 terms
Term #1 of the Conway climb · Base 27 sequence of 34 · 2 terms
Term #1 of the Conway climb · Base 29 sequence of 26 · 2 terms
Term #1 of the Conway climb · Base 30 sequence of 22 · 2 terms
Term #1 of the Conway climb · Base 32 sequence of 14 · 2 terms
Term #1 of the Conway climb · Base 33 sequence of 10 · 2 terms
Term #1 of the Conway climb · Base 34 sequence of 6 · 2 terms
Term #5 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of 9 · 6 terms
Term #3 of the Distinct-prime home prime · Base 3 sequence of 6 · 4 terms
Term #1 of the Distinct-prime home prime, descending · Base 2 sequence of 51 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 3 sequence of 46 · 2 terms
Term #1 of the Second-class home prime · Base 3 sequence of 68 · 2 terms
Term #3 of the Second-class home prime · Base 10 sequence of 40 · 4 terms
Term #3 of the Mid-divisor concatenation · Base 3 sequence of 6 · 4 terms
Term #1 of the Mid-divisor concatenation · Base 16 sequence of 28 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '71' --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":"71"},"decimal":false,"detail":2}}'