A092475 Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.

7, 37, 43, 67, 163, 277, 463, 487, 823, 1087, 1093, 1213, 1423, 2683, 3907, 4447, 5653, 7687, 8677, 8803, 11467, 11923, 13147, 13693, 15787, 16417, 16657, 16927, 18253, 18397, 19387, 20113, 20353, 21487, 27763, 28627, 30493, 34483, 38917, 39103, 40483, 41227

Offset: 1

Author

Ray G. Opao, Mar 25 2004

Keywords

• nonn

Examples

			a(3) = 43.
43 + 2^2 = 43 +  4 = 47, which is prime.
43 + 4^2 = 43 + 16 = 59, which is prime.
43 + 6^2 = 43 + 36 = 79, which is prime.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A049492.

Programs

Mathematica

Select[Prime[Range[5000]],And@@PrimeQ[{#+4,#+16,#+36}]&] (* Harvey P. Dale, Jun 09 2011 *)

Formula

A049492 INTERSECT A156104. - R. J. Mathar, Mar 26 2024

Extensions

More terms from Harvey P. Dale, Jun 09 2011