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Numbers k such that the quartic elliptic curve y^2 = 5x^4 + 4k does not have integer solutions.
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%I #17 Nov 07 2013 08:55:37

%S 2,3,6,7,8,10,12,13,14,15,17,18,20,21,22,23,24,26,27,28,30,32,33,34,

%T 35,37,38,39,40,42,43,45,46,47,48,50,51,52,53,54,56,57,58,60,62,63,65,

%U 66,67,68,69,70,72,73,74,75,76,77,78,82,83,84,85,86,87,88

%N Numbers k such that the quartic elliptic curve y^2 = 5x^4 + 4k does not have integer solutions.

%C For such k, quintic trinomial x^5-k*x+m is not reducible into cubic and quadratic factors for any integer m.

%Y Cf. A193524.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jul 29 2011

%E Definition corrected by Harvey P. Dale, Mar 25 2012