cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A331370 Decimal expansion of Sum_{(p1, p2) is twin prime pair} log(p2 / p1).

Original entry on oeis.org

1, 8, 7, 2, 1, 7, 8, 8
Offset: 1

Views

Author

Dimitris Valianatos, May 03 2020

Keywords

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.

Examples

			1.8721788...

Crossrefs

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

Formula

Equals A065421 - A331369.
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