A167057 Numbers k such that 12*k + 11 is prime.

0, 1, 3, 4, 5, 6, 8, 10, 13, 14, 15, 18, 19, 20, 21, 25, 28, 29, 31, 34, 35, 36, 38, 39, 40, 41, 46, 48, 49, 53, 54, 56, 59, 61, 68, 69, 71, 73, 75, 78, 80, 81, 84, 85, 90, 91, 95, 96, 98, 101, 104, 106, 108, 109, 113, 118, 119, 120, 123, 124, 125, 126, 129, 130, 131, 133

Offset: 1

Author

Michael B. Porter, Oct 27 2009

Keywords

• easy
• nonn

Comments

Corresponds to even numbers in A024898.

Examples

			3 is in the sequence since 12*3+11 = 47 is prime.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A110801, A167055, A167056, A024898, primes are in A068231.

Programs

Magma

[n: n in [0..200] |IsPrime(12*n+11)]; // Vincenzo Librandi, Mar 25 2010

Mathematica

Select[Range[0, 200], PrimeQ[12 # + 11] &] (* Vincenzo Librandi, May 20 2014 *)

PARI

isA167057(n) = isprime(12*n+11)

Formula

a(n) = A138620(n)-1. [From R. J. Mathar, Oct 29 2009]