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A029727
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Complete list of solutions to y^2 = x^3 + 17; sequence gives y values.
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10
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OFFSET
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1,1
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REFERENCES
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L. J. Mordell, Diophantine Equations, Ac. Press, p. 246.
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LINKS
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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See A029728 for further comments and references.
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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