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Primes that are not squares mod 23.
6

%I #20 May 22 2022 09:49:44

%S 5,7,11,17,19,37,43,53,61,67,79,83,89,97,103,107,109,113,137,149,157,

%T 181,191,199,227,229,241,251,263,281,283,293,313,337,359,367,373,379,

%U 383,389,401,419,421,431,433,457,467,479,503,521,523,557,563,569,571

%N Primes that are not squares mod 23.

%C Inert rational primes in the field Q(sqrt(-23)). - _N. J. A. Sloane_, Dec 26 2017

%C It appears that this is the same as primes p such that A000594(p) = RamanujanTau(p) == 0 (mod 23). - _Ray Chandler_, Dec 01 2016

%H Vincenzo Librandi, <a href="/A191065/b191065.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="https://oeis.org/index/Pri#primes_decomp_of">Index to sequences related to decomposition of primes in quadratic fields</a>

%t Select[Prime[Range[200]], JacobiSymbol[#,23]==-1&]

%o (Magma) [p: p in PrimesUpTo(571) | JacobiSymbol(p, 23) eq -1]; // _Vincenzo Librandi_, Sep 11 2012

%Y Primes in A278579.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 25 2011