A165635 Primes of the form (p^2 - 3)/2 where p is also prime.

3, 11, 23, 59, 83, 179, 263, 419, 479, 683, 839, 1103, 2243, 2663, 3119, 4703, 5099, 5303, 5939, 11399, 12323, 19403, 22259, 25763, 27143, 28559, 33023, 34583, 42923, 47123, 54779, 56783, 60899, 62303, 64439, 67343, 75659, 78803, 83639, 98123

Offset

1,1

Comments

The sequence could be generated by searching for squared primes p^2 in A153238.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) = (A110589(n)^2-3)/2 .

Example

The prime 3=(3^2-3)/2 is generated by p=3. The prime 11=(5^2-3)/2 is generated by p=5. The prime 23 by p=7.

Mathematica

Select[Table[(p^2 - 3)/2, {p, Prime[Range[300]]}], PrimeQ] (* Vincenzo Librandi, Oct 12 2012 *)

Prog

(Magma) [a: p in PrimesInInterval(1, 500) | IsPrime(a) where a is (p^2 - 3) div 2]; // Vincenzo Librandi, Oct 12 2012

Crossrefs

Cf. A110589, A153238.

Sequence in context: A145477 A243887 A098828 * A337476 A301876 A032026

Adjacent sequences: A165632 A165633 A165634 * A165636 A165637 A165638

Keyword

nonn,easy

Author

Vincenzo Librandi, Sep 23 2009

Extensions

More terms from Max Alekseyev, Sep 25 2009

Comment clarified by R. J. Mathar, Oct 07 2009

Status

approved