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A127879
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Primes of the form x^4+4x^3+12x^2+24x+24.
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6
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3760073, 9853769, 117051593, 181145609, 2517933833, 8999750153, 10486376969, 20852229449, 26640445193, 56713997513, 65555973569, 136653695753, 172008443273, 262819256009, 330127243553, 340704528713, 362619554249
(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 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).
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MATHEMATICA
| 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
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CROSSREFS
| Cf. A127873, A127874, A127875, A127876, A127877, A127878, A127880, A127881, A127882, A127883, A127884.
Sequence in context: A136287 A114683 A184647 * A206760 A186615 A175890
Adjacent sequences: A127876 A127877 A127878 * A127880 A127881 A127882
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
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