A234999 Primes p such that the p-th evil number is prime; 2 together with evil primes p such that 2p - 1 is prime.

2, 3, 139, 337, 547, 619, 691, 811, 937, 1237, 1297, 1399, 1429, 2089, 2179, 2221, 2281, 2467, 2539, 2617, 2707, 2719, 2791, 2851, 3019, 3067, 3499, 3739, 3769, 4027, 4177, 4357, 4447, 4567, 4951, 5431, 5479, 5557, 5581, 5749, 6037, 6229, 6379, 6421, 6691, 6841, 7507

Offset: 1

Author

Antti Karttunen and Juri-Stepan Gerasimov, Jan 02 2014

Keywords

• nonn

Comments

This sequence is the intersection of A005382 and A027699.

Examples

			2 is a prime and A001969(2) = 3, a prime also, thus 2 is in this sequence; 3 is a prime and A001969(3) = 5, a prime also, thus 3 is in this sequence; 139 is a prime A001969(139) = 277, a prime also, thus 139 is this sequence.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A057738, A232667.

Programs

PARI

is(n)=isprime(n) && isprime(2*n--+hammingweight(n)%2) \\ Charles R Greathouse IV, Jan 02 2014

Extensions

a(28) inserted by Charles R Greathouse IV, Jan 02 2014