A217552 A constant relating to generating primes from fractions involving Bernoulli numbers, and the greedy sequence of prime offsets.

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

Offset

1,1

Comments

If the prime k-tuple 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 A353327

Adjacent sequences: A217549 A217550 A217551 * A217553 A217554 A217555

Keyword

nonn,cons

Author

Roger Thompson, Oct 06 2012

Status

approved