A261536 Primes p such that p^5 + 2 is also prime.

11, 149, 179, 197, 281, 317, 389, 401, 419, 491, 509, 587, 977, 1019, 1217, 1289, 1367, 1499, 1607, 1637, 2039, 2111, 2339, 2459, 2609, 2801, 2897, 3119, 3221, 3359, 3701, 3767, 3917, 4451, 4517, 4871, 5237, 5531, 5717, 5879, 5927, 6197, 6311, 6959, 7151

Offset: 1

Author

Vincenzo Librandi, Aug 24 2015

Keywords

• nonn
• easy

Comments

Subsequence of primes of A216976. - Michel Marcus, Aug 24 2015

All terms == 5 (mod 6). - Robert Israel, Sep 22 2019

Examples

			11^5 + 2 = 161053 is a prime.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. primes p such that p^k+2 is also prime: A001359 (k=1), A048637 (k=3), this sequence (k=5), A261537 (k=7), A261538 (k=9).

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(12000) | IsPrime(p^5+2)];

Maple

filter:= proc(p) isprime(p) and isprime(p^5+2) end proc:
select(filter, [seq(i,i=5..10000,6)]); # Robert Israel, Sep 22 2019

Mathematica

Select[Prime[Range[1000]], PrimeQ[#^5 + 2] &]