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 A076481 Primes of the form (3^n-1)/2. 15

%I

%S 13,1093,797161,3754733257489862401973357979128773,

%T 6957596529882152968992225251835887181478451547013

%N Primes of the form (3^n-1)/2.

%C All primes p whose reciprocals belong to the middle-third Cantor set satisfy an equation of the form 2pK + 1 = 3^n. This sequence is the special case K = 1. See reference. [Christian Salas, Jul 4 2011]

%H Vincenzo Librandi, <a href="/A076481/b076481.txt">Table of n, a(n) for n = 1..9</a>

%H Christian Salas, <a href="http://arxiv.org/abs/0906.0465">On Prime Reciprocals in the Cantor Set</a>, arXiv:0906.0465v5 [math.NT]

%H Christian Salas, <a href="http://arxiv.org/abs/1203.3969">Cantor Primes as Prime-Valued Cyclotomic Polynomials</a>, Arxiv preprint arXiv:1203.3969, 2012.

%t Select[Table[(3^n-1)/2, {n,0,500}], PrimeQ] (* Vincenzo Librandi, Dec 09 2011 *)

%o (MAGMA) [a: n in [1..200] | IsPrime(a) where a is (3^n-1) div 2 ]; // Vincenzo Librandi, Dec 09 2011

%Y The exponents n are in A028491. Cf. A075081.

%K nonn

%O 1,1

%A Dean Hickerson (dean.hickerson(AT)yahoo.com), Oct 14 2002

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