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

1,1

Comments

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

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

Links

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

Example

11^5 + 2 = 161053 is a prime.

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] &]

Prog

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

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.

Sequence in context: A367790 A296143 A217722 * A175635 A103544 A038141

Adjacent sequences: A261533 A261534 A261535 * A261537 A261538 A261539

Keyword

nonn,easy

Author

Vincenzo Librandi, Aug 24 2015

Status

approved