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%I #8 May 01 2013 21:10:57
%S 15,22440,2759640
%N Integers n for which quintic x^5-x+/-n is the product of an irreducible quadratic and an irreducible cubic polynomials.
%C Rabinowitz in 1968 showed that this list is complete.
%D Rabinowitz S., 1968. Math. Mag. 61 p.191-193.
%t aa = {}; Do[Do[If[(-a^3 b + 2 a b^2 != 0) && ((-a^4 + 3 a^2 b - b^2) == -1), AppendTo[aa, Abs[ -a^3 b + 2 a b^2]]], {a, 1, 12}], {b, 1, 377}]; aa (*Artur Jasinski*)
%Y Cf. A178868, A193524.
%K nonn,bref,fini,full
%O 1,1
%A _Artur Jasinski_, Jun 29 2010
%E Partially edited by _N. J. A. Sloane_, Jul 06 2010