A104227 Primes one less than the sum over a sexy prime pair.

19, 31, 67, 79, 127, 139, 151, 199, 211, 307, 547, 619, 739, 751, 919, 1087, 1231, 1459, 1471, 1759, 1987, 2131, 2179, 2239, 2251, 2467, 2647, 2851, 2971, 3319, 3331, 3391, 3499, 3511, 3559, 3571, 3727, 3739, 4027, 4567, 4759, 5107, 5347, 5419, 5431, 6367, 6607, 6619, 7027, 7219, 7459

Offset: 1

Author

Giovanni Teofilatto, Apr 02 2005

Keywords

• easy
• nonn

Comments

Primes of the form A023201(i)+A046117(i)-1 or of the form 2*A087695(j)-1.

Examples

			19=7+13-1 is a prime and one less than the sum 7+13 over the second sexy prime pair.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A023201, A046117, A104228, A104229.

Programs

Mathematica

Select[2#+5&/@Select[Prime[Range[600]],PrimeQ[#+6]&],PrimeQ] (* Harvey P. Dale, Jan 04 2020 *)

Extensions

Corrected definition. Extended beyond a(7). - R. J. Mathar, Nov 26 2008