|
Search: id:A135846
|
|
|
| A135846 |
|
Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable. |
|
+0
4
|
|
| 599, 691, 733, 3163, 4259, 4397, 5419, 6637, 6733, 8009, 8311, 9803, 11731, 14923, 17291, 20627, 20873, 22777, 25111, 26339, 27947, 29339, 29389, 29527, 29917, 34123, 34421, 34739, 34757, 36527, 36809, 38783, 40433, 40531, 41131, 42859
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
A135847 and A135843 are complementary subsets of this sequence.
|
|
MATHEMATICA
|
a = {}; Do[If[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
|
|
CROSSREFS
|
Cf. A135842, A135843, A135844, A135845, A135847.
Adjacent sequences: A135843 A135844 A135845 this_sequence A135847 A135848 A135849
Sequence in context: A035138 A029562 A095746 this_sequence A035209 A135847 A106762
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Artur Jasinski (grafix(AT)csl.pl), Dec 01 2007
|
|
|
Search completed in 0.002 seconds
|
