A172407 Positive numbers n such that n+10 is a prime.

1, 3, 7, 9, 13, 19, 21, 27, 31, 33, 37, 43, 49, 51, 57, 61, 63, 69, 73, 79, 87, 91, 93, 97, 99, 103, 117, 121, 127, 129, 139, 141, 147, 153, 157, 163, 169, 171, 181, 183, 187, 189, 201, 213, 217, 219, 223, 229, 231, 241, 247, 253, 259, 261, 267, 271, 273, 283, 297

Offset: 1

Author

Juri-Stepan Gerasimov, Feb 01 2010

Keywords

• nonn

Examples

			a(1) = 1 because 1+10 = 11 = prime.
		

Crossrefs

Cf. A000040.

Programs

Maple

A172407:=n->ithprime(n+4)-10: seq(A172407(n), n=1..50); # Wesley Ivan Hurt, Jul 10 2014

Mathematica

Table[Prime[n + 4] - 10, {n, 50}] (* or *)
Prime[Range[50] + 4] - 10 (* Wesley Ivan Hurt, Jul 10 2014 *)

Formula

a(n) = prime(n+4) - 10.

a(n) = binomial(prime(n+4)-3,3) mod prime(n+4), (Empirical). - Gary Detlefs, Jul 10 2014