This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A365313 #15 Oct 28 2023 11:35:18 %S A365313 11,13,23,25,37,47,49,59,61,71,73,83,97,107,109,121,131,157,167,169, %T A365313 179,181,191,193,227,229,239,241,251,263,277,289,311,313,337,347,349, %U A365313 359,361,373,383,397,409,419,421,431,433,443,457,467,479,491,503,529,541,563 %N A365313 Prime powers (A246655) q such that 3 is a nonzero square in the finite field F_q. %C A365313 Prime powers q that are congruent to 1 or 11 modulo 12 (see A366526). %C A365313 Odd prime powers q such that 3^((q-1)/2) = 1 in F_q. %C A365313 Prime powers q such that x^2 - 3 splits into different linear factors in F_q[x]. %C A365313 Contains the powers of primes congruent to 1 or 11 modulo 12 and the even powers of primes congruent to 5 or 7 modulo 12. %H A365313 Jianing Song, <a href="/A365313/b365313.txt">Table of n, a(n) for n = 1..10000</a> %e A365313 49 is a term since 3 = -4 = (+-2i)^2 in F_49 = F_7(i). %o A365313 (PARI) isA365313(n) = isprimepower(n) && (n%12==1 || n%12==11) %Y A365313 Supersequence of A097933. %Y A365313 Prime powers q such that a is a nonzero square in F_q: A365082 (q=-2), A085759 (q=-1), A366526 (q=2), this sequence (q=3). %K A365313 nonn,easy %O A365313 1,1 %A A365313 _Jianing Song_, Oct 22 2023