A243368 Primes p such that q = p^2 + 10 and q^2 + 10 are also prime.

7, 13, 211, 601, 743, 2281, 2659, 2897, 3109, 3361, 4271, 4397, 6173, 7321, 7351, 8807, 8863, 11941, 12377, 13033, 13159, 13999, 14449, 14951, 20117, 20161, 20551, 22709, 24109, 25733, 27299, 27749, 29989, 30071, 31123, 31541, 33347, 33377, 33487, 33629

Offset: 1

Author

Zak Seidov, Jun 04 2014

Keywords

• nonn

Comments

This is a subsequence of A243367 where both p and p^2 + 10 are terms in A243367, see examples.

Examples

			p = a(1) = 7 = A243367(2) and p^2 + 10 = 59 = A243367(7),
p = a(2) = 13 = A243367(4) and p^2 + 10 = 179 = A243367(15).
		

Crossrefs

Cf. A182475, A243367.

Programs

PARI

s=[]; forprime(p=2, 100000, q=p^2+10; if(isprime(q)&&isprime(q^2+10), s=concat(s, p))); s \\ Colin Barker, Jun 04 2014

Extensions

More terms from Colin Barker, Jun 04 2014