login
A331370
Decimal expansion of Sum_{(p1, p2) is twin prime pair} log(p2 / p1).
0
1, 8, 7, 2, 1, 7, 8, 8
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.
FORMULA
Equals A065421 - A331369.
EXAMPLE
1.8721788...
CROSSREFS
KEYWORD
nonn,cons,more
AUTHOR
Dimitris Valianatos, May 03 2020
STATUS
approved