

A029727


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


10




OFFSET

1,1


REFERENCES

L. J. Mordell, Diophantine Equations, Ac. Press, p. 246.


LINKS

Table of n, a(n) for n=1..8.


MATHEMATICA

r[x_] := Reduce[y > 0 && y^2 == x^3 + 17, y, Integers]; y /. ToRules /@ Select[Table[r[x], {x, 2, 10000}], # =!= False & ] (* JeanFrançois Alcover, Sep 07 2011 *)


PROG

(Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 17])) ]); // Sergei Haller (sergei(AT)sergeihaller.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

N. J. A. Sloane


STATUS

approved



