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A constant relating to generating primes from fractions involving Bernoulli numbers, and the greedy sequence of prime offsets.
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%I #17 Nov 06 2012 11:00:56

%S 3,3,0,5,2,1,9,8,2,9,1,8,5,3,4,4,6,8,2,1,9,1,9,8,2,8,1,1,4,7,7,2,6,2,

%T 9,2,0,9,0,9,2,2,8,4,4,8,1,2,3,3,1,3,5,2,5,8

%N A constant relating to generating primes from fractions involving Bernoulli numbers, and the greedy sequence of prime offsets.

%C If the prime k-tuple conjecture is true, then lim inf A217926(n)/(2n) exists, and has the value 3.305219...

%C If lim sup A217926(n)/(2n) exists, it appears to have a value less than 3.32.

%F The a(n) are the decimal digits of K = 3.305219..., where K is the solution of exp(2/K) = sum(exp(-g/K)), and where the g are the terms of the greedy sequence of prime offsets (A135311).

%Y Cf. A217926, A135311.

%K nonn,cons

%O 1,1

%A _Roger Thompson_, Oct 06 2012