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%I #10 Jun 24 2014 01:08:24
%S 7,117,128,320,768,832,1120,1153,1226,1296,1377,2500,2592,2816,3168,
%T 3888,5760,6561,6948,7168,7776,10625,12960,13968,16514,19208,19926,
%U 20240,23652,24384,29158,33614,42768,60100,67228,69984,70400,71199
%N Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.
%e The first 5 solutions are (x,y,z) = (10,3,7), (1242,9,117), (1024,16,128), (5632,16,320) and (20480,32,768).
%t For[z=1, True, z++, z3=z^3; For[y=1, (d=z3-y^5)>0, y++, If[IntegerQ[x=Sqrt[d]], Print[{x, y, z}]]]]
%Y x-values are in A070065, y-values are in A070066.
%K nonn
%O 1,1
%A _Dean Hickerson_ and Dan Asimov (asimov(AT)msri.org), Apr 18 2002
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