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Search: id:A146361
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| A146361 |
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Primes p such that continued fraction of (1+Sqrt[p])/2 has period 16 : primes in A146339. |
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+0
2
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| 191, 311, 431, 647, 1319, 1487, 2351, 5527, 9431, 19087
(list; graph; listen)
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OFFSET
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1,1
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MATHEMATICA
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$MaxExtraPrecision = 4000; s = 10; aa = {}; Do[k = ContinuedFraction[(1 + Sqrt[Prime[n]])/2, 3000]; m = 1; While[k[[s]] != k[[s + m]] || k[[s + m]] != k[[s + 2 m]] || k[[s + 2 m]] != k[[s + 3 m]] || k[[s + 3 m]] != k[[s + 4 m]] || k[[s + 4 m]] != k[[s + 5 m]], m++ ]; s = s + 1; While[k[[s]] != k[[s + m]] || k[[s + m]] != k[[s + 2 m]] || k[[s + 2 m]] != k[[s + 3 m]] || k[[s + 3 m]] != k[[s + 4 m]] || k[[s + 4 m]] != k[[s + 5 m]], m++ ]; s = s + 1; While[k[[s]] != k[[s + m]] || k[[s + m]] != k[[s + 2 m]] || k[[s + 2 m]] != k[[s + 3 m]] || k[[s + 3 m]] != k[[s + 4 m]] || k[[s + 4 m]] != k[[s + 5 m]]; AppendTo[aa, m]], {n, 1, 1495}]; bb = {}; Do[If[aa[[n]] == 16, AppendTo[bb, Prime[n]]], {n, 1, Length[aa]}]; bb (*Artur Jasinski*)
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CROSSREFS
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A000290, A050950-A050969, A078370, A146326-A146345, A146348-A146360.
Sequence in context: A136068 A045141 A046010 this_sequence A142806 A142086 A070831
Adjacent sequences: A146358 A146359 A146360 this_sequence A146362 A146363 A146364
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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), Oct 30 2008
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EXTENSIONS
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3391 removed - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 06 2009
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