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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; internal format)
OFFSET

1,1

REFERENCES

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

MATHEMATICA

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

PROG

(MAGMA) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 17])) ]); - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

CROSSREFS

See A029728 for further comments and references.

Sequence in context: A195971 A080552 A056797 * A086186 A014463 A161983

Adjacent sequences:  A029724 A029725 A029726 * A029728 A029729 A029730

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 13:14 EST 2012. Contains 206031 sequences.