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Primes of the form Lucas(2*n)/3.
3

%I #14 Jul 07 2016 23:54:47

%S 41,281,90481,29134601,3020733700601,313195711516578281,

%T 5280544535667472291277149119296546201,

%U 547497418496144666543167613835090178297001

%N Primes of the form Lucas(2*n)/3.

%C The next term has 96 digits. - _Harvey P. Dale_, Apr 29 2011.

%H Vincenzo Librandi, <a href="/A074281/b074281.txt">Table of n, a(n) for n = 1..16</a>

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibmaths.html#fibprimecarm">The Mathematics of the Fibonacci series</a>.

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibpi.html#lucas">Pi and the Fibonacci Numbers</a>.

%e Lucas(2*5)=3*41, Lucas(2*7)=3*281, Lucas(2*13)=3*90481.

%t Select[Table[LucasL[2n]/3,{n,400}],PrimeQ] (* _Harvey P. Dale_, Apr 29 2011 *)

%Y Values of n are given in A074304.

%K nonn

%O 1,1

%A _Shane Findley_, Sep 21 2002