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%I #14 May 01 2018 21:30:38
%S 3760073,9853769,117051593,181145609,2517933833,8999750153,
%T 10486376969,20852229449,26640445193,56713997513,65555973569,
%U 136653695753,172008443273,262819256009,330127243553,340704528713,362619554249
%N Primes of the form x^4 + 4*x^3 + 12*x^2 + 24*x + 24.
%C Generating polynomial is Schur's polynomial of 4-degree. 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).
%H G. C. Greubel, <a href="/A127879/b127879.txt">Table of n, a(n) for n = 1..5000</a>
%p select(isprime,[seq(x^4+4*x^3+12*x^2+24*x+24,x=1..2000)]); # _Muniru A Asiru_, Apr 30 2018
%t a = {}; Do[If[PrimeQ[24 + 24 x + 12 x^2 + 4 x^3 + x^4], AppendTo[a, 24 + 24 x + 12 x^2 + 4 x^3 + x^4]], {x, 1, 1000}]; a
%t Select[Table[x^4+4x^3+12x^2+24x+24,{x,780}],PrimeQ[#]&] (* _Harvey P. Dale_, Jan 24 2013 *)
%o (GAP) Filtered(List([1..2000],x->x^4+4*x^3+12*x^2+24*x+24),IsPrime); # _Muniru A Asiru_, Apr 30 2018
%Y Cf. A127873, A127874, A127875, A127876, A127877, A127878, A127880, A127881, A127882, A127883.
%K nonn
%O 1,1
%A _Artur Jasinski_, Feb 04 2007
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