A146354 Primes p such that continued fraction of (1 + sqrt(p))/2 has period 9: primes in A143577.

73, 97, 233, 277, 349, 353, 613, 821, 877, 1181, 1277, 1613, 1637, 1693, 2357, 2777, 3557, 3989, 4157, 4517, 4889, 4933, 5261, 6113, 7213, 9133, 9181, 9749, 10313, 10909, 11057, 11213, 11257, 12161, 12301, 13033, 16217, 16741, 17989, 19469

Offset: 1

Author

Artur Jasinski, Oct 30 2008

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..2000

Crossrefs

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

Programs

Mathematica

Select[Prime[Range[2300]],Length[ContinuedFraction[(1+Sqrt[#])/2][[2]]] == 9&] (* Harvey P. Dale, Aug 22 2011 *)

Extensions

A-number in definition corrected. 1613 and 4933 inserted, 9421 deleted, extended beyond 9749 by R. J. Mathar, Nov 09 2008