A057738 -id:A057738 - cp's OEIS frontend

A057739 Primes of the form 3^p + 2, where p is prime.

11, 29, 2088595827392656793085408064780643444068898148936888424953199350269

Offset: 1

G. L. Honaker, Jr., Oct 29 2000

No additional terms up through prime(1000). - Harvey P. Dale, Apr 07 2019

			a(2) = 3^3 + 2 = 29, a(3) = 3^139 + 2

Cf. A057738.

Select[Table[3^p+2,{p,Prime[Range[140]]}],PrimeQ] (* Harvey P. Dale, Apr 07 2019 *)

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

Original entry on oeis.org

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

Antti Karttunen and Juri-Stepan Gerasimov, Jan 02 2014

nonn

This sequence is the intersection of A005382 and A027699.

			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.

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

Cf. A057738, A232667.

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

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

cp's OEIS Frontend

A057739 Primes of the form 3^p + 2, where p is prime.

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