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Numbers k such that 4k^3 - 3 is prime.
3

%I #16 Sep 08 2022 08:46:00

%S 2,14,16,22,25,29,49,64,74,77,86,91,112,121,127,134,137,140,151,161,

%T 179,197,214,221,226,254,259,284,287,296,302,305,310,347,361,364,365,

%U 380,382,392,394,401,406,407,415,469,497

%N Numbers k such that 4k^3 - 3 is prime.

%C See comment in A199307.

%H Vincenzo Librandi, <a href="/A199368/b199368.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[600], PrimeQ[4#^3 - 3]&] (* _Vincenzo Librandi_, Jan 07 2013 *)

%o (Magma) [n: n in [1..500] | IsPrime(4*n^3-3)]; // _Vincenzo Librandi_, Jan 07 2013

%o (PARI) is(n)=isprime(4*n^3-3) \\ _Charles R Greathouse IV_, May 22 2017

%Y Cf. A199307, A199369.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Nov 05 2011