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

1,1

Links

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

Formula

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

Example

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.

Mathematica

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

Crossrefs

Subsequence of A049492.

Sequence in context: A322174 A139492 A141159 * A106924 A076285 A077720

Adjacent sequences: A092472 A092473 A092474 * A092476 A092477 A092478

Keyword

nonn

Author

Ray G. Opao, Mar 25 2004

Extensions

More terms from Harvey P. Dale, Jun 09 2011

Status

approved