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 A029727 Complete list of solutions to y^2 = x^3 + 17; sequence gives y values. 10
 3, 4, 5, 9, 23, 282, 375, 378661 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES L. J. Mordell, Diophantine Equations, Ac. Press, p. 246. LINKS MATHEMATICA 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 *) PROG (Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 17])) ]); // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006 (SageMath) [i[1] for i in EllipticCurve([0, 17]).integral_points()] # Seiichi Manyama, Aug 25 2019 CROSSREFS See A029728 for further comments and references. Sequence in context: A257041 A346603 A056797 * A086186 A014463 A340015 Adjacent sequences: A029724 A029725 A029726 * A029728 A029729 A029730 KEYWORD nonn,fini,full AUTHOR STATUS approved

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Last modified December 7 07:00 EST 2022. Contains 358649 sequences. (Running on oeis4.)