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A331370 Decimal expansion of Sum_{(p1, p2) is twin prime pair} log(p2 / p1). 0
1, 8, 7, 2, 1, 7, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This constant is the difference between Brun's constant and the A331369 constant.

This sum converges because log(p_(k+1)/p_k) < 1/p_k + 1/p_(k+1) for every k >= 1 and (p_k, p_(k+1)) twin prime pair.

LINKS

Table of n, a(n) for n=1..8.

FORMULA

Equals A065421 - A331369.

EXAMPLE

1.8721788...

CROSSREFS

Cf. A077800, A065421, A331369, A001359, A006512.

Sequence in context: A016583 A124473 A011108 * A279037 A328895 A154846

Adjacent sequences:  A331367 A331368 A331369 * A331371 A331372 A331373

KEYWORD

nonn,cons,more

AUTHOR

Dimitris Valianatos, May 03 2020

STATUS

approved

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Last modified October 22 09:11 EDT 2021. Contains 348160 sequences. (Running on oeis4.)