A096147 Prime denominators of the rational convergents to sqrt(3).

3, 11, 41, 571, 2131, 110771, 1542841, 15558008491, 808717138331, 1663476485027525263506023431291963826940251, 33648911495192637123958375850447995878147331088460770783226682531

Offset

1,1

Comments

Next term is too large to include.

The next term has 79 digits. - Harvey P. Dale, Jul 06 2019

This is the prime subsequence of A002530. - Ray Chandler, Aug 01 2004

Primes p such that 3*p^2 - 2 is a square. - Vincenzo Librandi, May 21 2013

Links

Amiram Eldar, Table of n, a(n) for n = 1..23

Mathematica

Select[Denominator[Convergents[Sqrt[3], 300]], PrimeQ] (* Harvey P. Dale, Jul 06 2019 *)

Crossrefs

Cf. A002530, A079935, A096146.

Sequence in context: A018962 A102417 A358426 * A225431 A359248 A099489

Adjacent sequences: A096144 A096145 A096146 * A096148 A096149 A096150

Keyword

nonn

Author

Cino Hilliard, Jul 24 2004

Extensions

Offset corrected by Amiram Eldar, Jul 11 2024

Status

approved