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 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 14 16:48 EDT 2021. Contains 343898 sequences. (Running on oeis4.)