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%I #3 Mar 31 2012 10:22:04
%S 2,4,7,8,10,11,20,23,26,28,31,34,44,50,56,62,71,74,76,79,82,83,88,91,
%T 103,104,110,112,118,122,131,134,139,140,142,148,152,163,170,175,176,
%U 179,199,202,206,226,227,235,238,239,242,244,266,271,274,278,296,299
%N Numbers x for which (x^3)/2+(3x^2)/2+3x+3 is prime.
%C Generating polynomial is Schur's polynomial of degree 3. Schur's polynomials n degree are n-th first term of series expansion of e^x function. All polynomials are non-reducible and belonging to the An alternating Galois transitive group if n is divisible by 4 or to Sn symmetric Galois Group in other case (proof Schur, 1930).
%t a = {}; Do[If[PrimeQ[3 + 3 x + (3 x^2)/2 + x^3/2], AppendTo[a, x]], {x, 1, 300}]; a
%Y Cf. A127873, A127874.
%K nonn
%O 1,1
%A _Artur Jasinski_, Feb 04 2007