OFFSET
0,1
COMMENTS
Golomb (1955) asked if this series is convergent. Křížek et al. (2002) proved its convergence.
The first 10 terms were given by Finch (2018).
REFERENCES
Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, Section 1.37, p. 248.
LINKS
Steven R. Finch, Fermat Numbers and Elite Primes, preprint, 2013.
Solomon W. Golomb, Sets of primes with intermediate density, Math. Scand., Vol. 3 (1955), pp. 264-274; alternative link.
Michal Křížek, Florian Luca and Lawrence Somer, On the convergence of series of reciprocals of primes related to the Fermat numbers, J. Number Theory, Vol. 97, No. 1 (2002), pp. 95-112.
FORMULA
Equals Sum_{k>=1} 1/A023394(k).
EXAMPLE
0.5976404758...
CROSSREFS
KEYWORD
AUTHOR
Amiram Eldar, May 28 2021
STATUS
approved