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

%I #21 Sep 08 2022 08:46:01

%S 73,241,673,1321,1873,2521,3673,4561,6073,11161,14281,15121,19681,

%T 21673,23761,24841,27073,29401,33073,49921,51481,54673,63073,66601,

%U 72073,77761,87721,91873,102673,109441,114073,118801,131041,143881

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

%C Primes p such that 3*(p+2) or (p+2)/3 is a square. - _Vincenzo Librandi_, Feb 16 2016

%C m is a member of A063213. - _Bruno Berselli_, Feb 16 2016

%H Vincenzo Librandi, <a href="/A201715/b201715.txt">Table of n, a(n) for n = 1..5000</a>

%t Select[Table[3 n^2 - 2, {n, 1, 800}], PrimeQ]

%o (Magma) [a: n in [1..300] | IsPrime(a) where a is 3*n^2-2];

%Y Primes in A100536.

%Y Cf. A089682, A201716, A201717, A201718, A201781.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Dec 04 2011