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Search: id:A127874
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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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+0
11
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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
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OFFSET
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1,1
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COMMENT
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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 divisable by 4 or to Sn symmetric Galois Group in other case (proof Schur, 1930).
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MATHEMATICA
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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
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Cf. A127873.
Sequence in context: A010007 A093350 A142516 this_sequence A141960 A118593 A047979
Adjacent sequences: A127871 A127872 A127873 this_sequence A127875 A127876 A127877
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
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