login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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