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Primes of the form (2^n+3)^2-8.
4

%I #29 Sep 08 2022 08:45:56

%S 17,41,113,353,1217,4481,67073,1054721,4206593,16801793,274881052673,

%T 18014399314788353,72057595648540673,18446744099479355393,

%U 4722366483281962074113,79228162514266026443404214273

%N Primes of the form (2^n+3)^2-8.

%C Primes in A188129.

%H Vincenzo Librandi, <a href="/A188661/b188661.txt">Table of n, a(n) for n = 1..25</a>

%H Daniel Shanks, <a href="https://doi.org/10.1090/S0025-5718-1971-0297737-4">Gauss's ternary form reduction and the 2-Sylow subgroup</a>, Math. Comp. 25 (1971), 837-853.

%t Select[(2^Range[0,50]+3)^2-8,PrimeQ] (* _Harvey P. Dale_, Apr 16 2011 *)

%t Select[Table[(2^n + 3)^2 - 8, {n, 80}], PrimeQ] (* _Vincenzo Librandi_, Mar 21 2013 *)

%o (Magma) [a: n in [0..100] | IsPrime(a) where a is (2^n+3)^2-8]; // _Vincenzo Librandi_, Mar 21 2013

%Y Cf. A188129, A188936.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Apr 14 2011