OFFSET
1,1
COMMENTS
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).
LINKS
Harvey P. Dale, Table of n, a(n) for n = 1..1000
MATHEMATICA
a = {}; Do[If[PrimeQ[3 + 3 x + (3 x^2)/2 + x^3/2], AppendTo[a, 3 + 3 x + (3 x^2)/2 + x^3/2]], {x, 1, 300}]; a
Select[Table[x^3/2+(3x^2)/2+3x+3, {x, 150}], PrimeQ] (* Harvey P. Dale, Apr 30 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Artur Jasinski, Feb 04 2007
STATUS
approved