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 A365082 #39 Oct 28 2023 11:35:12 %S A365082 3,9,11,17,19,25,27,41,43,49,59,67,73,81,83,89,97,107,113,121,131,137, %T A365082 139,163,169,179,193,211,227,233,241,243,251,257,281,283,289,307,313, %U A365082 331,337,347,353,361,379,401,409,419,433,443,449,457,467,491,499,521,523,529 %N A365082 Prime powers (A246655) q such that -2 is a nonzero square in the finite field F_q. %C A365082 Prime powers q that are congruent to 1 or 3 modulo 8 (see A366526). %C A365082 Odd prime powers q such that (-2)^((q-1)/2) = 1 in F_q. %C A365082 Prime powers q such that x^2 + 2 splits into different linear factors in F_q[x]. %C A365082 Contains the powers of primes congruent to 1 or 3 modulo 8 and the even powers of primes congruent to 5 or 7 modulo 8. %H A365082 Jianing Song, <a href="/A365082/b365082.txt">Table of n, a(n) for n = 1..10000</a> %e A365082 49 is a term since -2 = -9 = (+-3i)^2 in F_49 = F_7(i). %o A365082 (PARI) isA365082(n) = isprimepower(n) && (n%8==1 || n%8==3) %Y A365082 Supersequence of A033200. %Y A365082 Prime powers q such that a is a nonzero square in F_q: this sequence (q=-2), A085759 (q=-1), A366526 (q=2), A365313 (q=3). %K A365082 nonn,easy %O A365082 1,1 %A A365082 _Jianing Song_, Oct 22 2023