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.

A029727 Complete list of solutions to y^2 = x^3 + 17; sequence gives y values.

This page as a plain text file.
%I A029727 #17 Sep 08 2022 08:44:50
%S A029727 3,4,5,9,23,282,375,378661
%N A029727 Complete list of solutions to y^2 = x^3 + 17; sequence gives y values.
%D A029727 L. J. Mordell, Diophantine Equations, Ac. Press, p. 246.
%t A029727 r[x_] := Reduce[y > 0 && y^2 == x^3 + 17, y, Integers]; y /. ToRules /@ Select[Table[r[x], {x, -2, 10000}], # =!= False & ] (* _Jean-François Alcover_, Sep 07 2011 *)
%o A029727 (Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0,17])) ]); // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
%o A029727 (SageMath) [i[1] for i in EllipticCurve([0, 17]).integral_points()] # _Seiichi Manyama_, Aug 25 2019
%Y A029727 See A029728 for further comments and references.
%K A029727 nonn,fini,full
%O A029727 1,1
%A A029727 _N. J. A. Sloane_