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A127874
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Prime numbers of the form (x^3)/2+(3x^2)/2+3x+3.
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10
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19, 71, 269, 379, 683, 883, 4663, 6949, 9883, 12239, 16433, 21491, 45631, 66403, 92683, 125119, 186733, 211051, 228383, 256121, 286019, 296479, 352619, 389483, 562589, 578971, 683983, 721619, 842759, 930619, 1150183, 1230391, 1372211
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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).
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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
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CROSSREFS
| Cf. A127873.
Sequence in context: A198002 A093350 A142516 * A154406 A141960 A178541
Adjacent sequences: A127871 A127872 A127873 * A127875 A127876 A127877
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
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