

A217552


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


1



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, 9, 2, 0, 9, 0, 9, 2, 2, 8, 4, 4, 8, 1, 2, 3, 3, 1, 3, 5, 2, 5, 8
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OFFSET

1,1


COMMENTS

If the prime ktuple conjecture is true, then lim inf A217926(n)/(2n) exists, and has the value 3.305219...
If lim sup A217926(n)/(2n) exists, it appears to have a value less than 3.32.


LINKS

Table of n, a(n) for n=1..56.


FORMULA

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).


CROSSREFS

Cf. A217926, A135311.
Sequence in context: A116580 A096439 A256119 * A128046 A102899 A072689
Adjacent sequences: A217549 A217550 A217551 * A217553 A217554 A217555


KEYWORD

nonn,cons


AUTHOR

Roger Thompson, Oct 06 2012


STATUS

approved



