

A165635


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


4



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
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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)^23)/2 .


EXAMPLE

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



