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Primes of the form 3*m^2 - 5.
6

%I #20 Sep 08 2022 08:46:01

%S 7,43,103,967,1447,1723,2347,3067,3463,4327,6343,6907,9403,11527,

%T 13063,21163,23227,28807,32443,33703,44647,47623,52267,65707,71143,

%U 74887,80683,88747,90823,99367,110587,137383,142567,150523,175687

%N Primes of the form 3*m^2 - 5.

%C Primes p such that 3*(p+5) or (p+5)/3 is a square. - _Vincenzo Librandi_, Feb 16 2016

%H Vincenzo Librandi, <a href="/A201717/b201717.txt">Table of n, a(n) for n = 1..5000</a>

%t Select[Table[3n^2-5,{n,2,1000}],PrimeQ]

%o (Magma) [a: n in [2..300] | IsPrime(a) where a is 3*n^2-5];

%Y Cf. A000040, A042993 (supersequence).

%Y Cf. similar sequences: A089682, A201715, A201716, A201718, A201781.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Dec 05 2011