Brun, V. (1919) La série
1/5+1/7+1/11+1/13+1/17+1/19+1/29+1/31+1/41+1/43+1/59+1/61+··· les dénominateurs sont nombres premiers jumeaux est convergente où finie. Bulletin des Sciences Mathématiques, 43, 124-128. (In French)

has been cited by the following article:

• TITLE: On the Sum of Reciprocals of Mersenne Primes

  AUTHORS: Yoshihiro Tanaka

  KEYWORDS: Mersenne Primes, the Sum of Reciprocals, Unresolved Problem

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.2, June 8, 2017

  ABSTRACT: The sum of reciprocals of Mersenne primes converges to 0.51645417894078856533···, which is an example of a probably infinite subset of primes whose sum of reciprocals is finite and can be computed accurately. This value is larger than , where is the set of perfect powers of prime numbers.