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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 (list; constant; graph; refs; listen; history; text; internal format)
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 A072689

Adjacent sequences:  A217549 A217550 A217551 * A217553 A217554 A217555

KEYWORD

nonn,cons

AUTHOR

Roger Thompson, Oct 06 2012

STATUS

approved

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Last modified January 28 13:05 EST 2020. Contains 331321 sequences. (Running on oeis4.)