A146358 Primes p such that continued fraction of (1 + sqrt(p))/2 has period 13: primes in A333640.

421, 757, 1021, 1097, 1117, 1301, 1553, 1973, 2069, 2237, 2273, 2789, 2861, 3373, 3461, 3517, 3877, 3917, 4133, 4397, 4481, 5521, 5573, 5717, 6221, 6317, 6637, 6997, 7253, 7517, 8741, 9049, 9173, 9437, 10181, 10949, 11597, 11789, 12497, 15473, 15797, 16141, 18353

Offset

1,1

Links

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

Mathematica

Select[Range[2*10^4], PrimeQ[#] && Length[ContinuedFraction[(1+Sqrt[#])/2][[2]]] == 13 &] (* Amiram Eldar, Mar 30 2020 *)
Select[Prime[Range[2500]], Length[ContinuedFraction[(1+Sqrt[#])/2][[2]]]==13&] (* Harvey P. Dale, Mar 05 2023 *)

Crossrefs

Cf. A000290, A050950-A050969, A078370, A146326-A146345, A333640, A146348-A146360.

Sequence in context: A375407 A217497 A333640 * A050962 A020376 A023353

Adjacent sequences: A146355 A146356 A146357 * A146359 A146360 A146361

Keyword

nonn

Author

Artur Jasinski, Oct 30 2008

Extensions

Definition corrected, 3 terms added. - R. J. Mathar, Nov 08 2008

More terms from Amiram Eldar, Mar 30 2020

Status

approved