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Search: id:A135845
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| A135845 |
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Prime numbers p not of the form 10k+1 for which quintic polynomial x^5-x-1 modulus p is factorizable into five binomials. |
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+0
4
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| 1973, 3769, 7727, 11903, 14629, 16903, 17737, 18097, 19477, 20747, 20759, 21727, 22717, 23567, 25037, 27397, 27529, 28279, 29207, 29959, 30497, 31319, 33289, 36097, 37463, 42139, 42487, 42689, 45959, 46229, 47309, 47969, 48847, 48947
(list; graph; listen)
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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 A135844.
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MATHEMATICA
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a = {}; Do[If[Mod[Prime[n], 1, poly = PolynomialMod[x^5 - 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, A135846, A135847.
Sequence in context: A056094 A108386 A135844 this_sequence A121995 A061998 A108510
Adjacent sequences: A135842 A135843 A135844 this_sequence A135846 A135847 A135848
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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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