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A091514 Kynea primes: primes of the form (2^n+1)^2-2 = 4^n+2^(n+1)-1. 7


%S 2,7,23,79,1087,66047,263167,16785407,1073807359,17180131327,

%T 68720001023,4398050705407,70368760954879,18014398777917439,

%U 18446744082299486207,5070602400912922109586440191999

%N Kynea primes: primes of the form (2^n+1)^2-2 = 4^n+2^(n+1)-1.

%H Vincenzo Librandi, <a href="/A091514/b091514.txt">Table of n, a(n) for n = 1..30</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KyneaNumber.html">Kynea Number</a>

%t lst={};Do[If[PrimeQ[p=4^n+2^(n+1)-1], (*Print[p];*)AppendTo[lst, p]], {n, 10^2}];lst [From _Vladimir Joseph Stephan Orlovsky_, Aug 21 2008]

%o (MAGMA) [a: n in [0..60] | IsPrime(a) where a is 4^n+2^(n+1)-1]; // Vincenzo Librandi, Dec 13 2011

%Y Cf. A091513.

%K nonn

%O 1,1

%A _Eric W. Weisstein_, Jan 17, 2004

%E Edited by _Ray Chandler_, Nov 15, 2004

%E The first term 2 added by Vincenzo Librandi, Dec 13 2011

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Last modified November 1 06:07 EDT 2014. Contains 248888 sequences.