cp's OEIS Frontend

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.

A130230 Primes p == 5 (mod 8) such that the Diophantine equation x^2 - p*y^2 = -4 has a solution in odd integers x, y.

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%I A130230 #11 Oct 23 2023 14:39:04
%S A130230 5,13,29,53,61,109,149,157,173,181,229,277,293,317,397,421,461,509,
%T A130230 541,613,653,661,733,773,797,821,853,941,1013,1021,1061,1069,1093,
%U A130230 1109,1117,1181,1229,1237,1277,1373,1381,1429,1453,1493,1549,1597
%N A130230 Primes p == 5 (mod 8) such that the Diophantine equation x^2 - p*y^2 = -4 has a solution in odd integers x, y.
%C A130230 For the Diophantine equation x^2 - p*y^2 = -4 to have a solution in odd integers x, y we must have p == 5 (mod 8)
%C A130230 Calculated using Dario Alpern's quadratic Diophantine solver, see link.
%C A130230 Suggested by a discussion on the Number Theory Mailing List, circa Aug 01 2007.
%H A130230 Robin Visser, <a href="/A130230/b130230.txt">Table of n, a(n) for n = 1..10000</a>
%H A130230 Dario Alpern, <a href="https://www.alpertron.com.ar/QUAD.HTM">Generic two integer variable equation solver</a>.
%Y A130230 Cf. A130229.
%K A130230 nonn
%O A130230 1,1
%A A130230 _Warut Roonguthai_, Aug 06 2007