login
Numbers k such that the quartic elliptic curve y^2 = 5x^4 - 4k has no integer solutions.
4

%I #13 Feb 04 2017 11:29:04

%S 2,3,5,6,7,8,9,10,12,13,14,15,17,18,21,22,23,24,26,27,28,30,32,33,34,

%T 35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,

%U 60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,80

%N Numbers k such that the quartic elliptic curve y^2 = 5x^4 - 4k has no integer solutions.

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

%Y Cf. A193524, A193528, A193531.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jul 29 2011

%E Definition modified by _Harvey P. Dale_, Feb 04 2017