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Search: id:A135847
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| A135847 |
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Prime numbers p not of the form 10k+1 for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is factorizable into five binomials. |
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4
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| 599, 733, 3163, 4259, 4397, 5419, 6637, 6733, 8009, 9803, 14923, 20627, 20873, 22777, 26339, 27947, 29339, 29389, 29527, 29917, 34123, 34739, 34757, 36527, 36809, 38783, 40433, 42859, 43049, 43963, 45763, 51659, 52223, 52747, 54917
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OFFSET
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1,1
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COMMENT
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This sequence is a subset of A135846.
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MATHEMATICA
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a = {}; Do[If[Mod[Prime[n], 10] 1, poly = PolynomialMod[x^5-x^4-x^3-x^2-x-1, Prime[n]]; c = FactorList[poly, Modulus -> Prime[n]]; If[Sum[c[[m]][[2]], {m, 1, Length[c]}] == 6, AppendTo[a, Prime[n]]]], {n, 1, 10000}]; a
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CROSSREFS
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Cf. A135842, A135843, A135844, A135845, A135847.
Sequence in context: A095746 A135846 A035209 this_sequence A106762 A090222 A092183
Adjacent sequences: A135844 A135845 A135846 this_sequence A135848 A135849 A135850
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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), Dec 01 2007
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