login
Primes with Kronecker symbol (p|14) != 1.
3

%I #19 Sep 08 2022 08:46:17

%S 2,7,11,17,29,31,37,41,43,47,53,67,73,89,97,103,107,109,149,163,167,

%T 179,197,199,211,223,241,257,271,277,311,313,317,331,347,353,367,373,

%U 379,383,389,409,421,433,439,443,479,491,499,503,521,541,547,557

%N Primes with Kronecker symbol (p|14) != 1.

%C Complement of A191017 in primes.

%C Conjecture: primes not congruent to (1, 3, 5, 9, 13, 15, 19, 23, 25, 27, 39, 45) mod 56.

%H Vincenzo Librandi, <a href="/A274504/b274504.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[200]], ! JacobiSymbol[#, 14] == 1 &]

%o (Magma) [p: p in PrimesUpTo(619) | not KroneckerSymbol(p, 14) eq 1];

%Y Cf. A000040, A191017, A191061.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jun 29 2016