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A146361 Primes p such that continued fraction of (1+Sqrt[p])/2 has period 16 : primes in A146339. 1
191, 311, 431, 647, 1319, 1487, 2351, 5527, 9431, 19087 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

MATHEMATICA

$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*)

CROSSREFS

A000290, A050950-A050969, A078370, A146326-A146345, A146348-A146360.

Sequence in context: A136068 A045141 A046010 * A142806 A142086 A070831

Adjacent sequences:  A146358 A146359 A146360 * A146362 A146363 A146364

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 30 2008

EXTENSIONS

3391 removed - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 06 2009

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Last modified February 16 07:05 EST 2012. Contains 205868 sequences.