On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers

@article{Krzek2002OnTC,
  title={On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers},
  author={M. Kr{\'i}zek and F. Luca and L. Somer},
  journal={Journal of Number Theory},
  year={2002},
  volume={97},
  pages={95-112}
}
We examine densities of several sets connected with the Fermat numbers Fm=22m+1. In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also show that the series of reciprocals of elite primes is convergent. 
21 Citations
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