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A261536 Primes p such that p^5 + 2 is also prime. 3
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 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Aug 24 2015
STATUS
approved

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Last modified February 23 06:36 EST 2024. Contains 370267 sequences. (Running on oeis4.)