Abstract:
In article we study the densities of several sets connected with the Fermat numbers
Fm = 22m+1. This article is a review of the article of Krizek et al. [Journal of Number
Theory, 97(2001): 95-112]. In particular, the series of reciprocals of all primes
divisors of Fermat numbers is proved to be convergent. The series of reciprocals of
elite primes is also shown to be convergent