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Possible positive values of the discriminant of irreducible monic integral cubic polynomials.
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%I #10 Nov 30 2014 09:21:42

%S 49,81,148,169,229,257,316,321,361,404,469,473,564,568,592,621,697,

%T 729,733,756,761,785,788,837,892,916,940,985,993,1016,1076,1101,1129,

%U 1229,1257,1264,1300,1304,1345,1369,1373,1384,1396,1425,1436,1489,1492,1509

%N Possible positive values of the discriminant of irreducible monic integral cubic polynomials.

%C These discriminants were found by examining all irreducible integral cubic polynomials x^3+ax^2+bx+c for a,b,c in [ -30,30]. Closely related to A006832, discriminants of totally real cubic fields.

%H Mohammad K. Azarian, <a href="http://www.ijpam.eu/contents/2007-36-2/9/9.pdf">On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials</a>, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolynomialDiscriminant.html">Polynomial Discriminant</a>

%K nonn

%O 1,1

%A _T. D. Noe_, May 17 2005