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On the Mysteries of Numbers Alluded to by Fermat.--Second Communication.

✍ Scribed by Pollock, F.

Book ID
120127504
Publisher
The Royal Society
Year
1868
Weight
254 KB
Volume
16
Category
Article
ISSN
0365-0855

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On the Convergence of Series of Reciproc
On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers
✍ Michal KΕ™Δ±́ΕΎek; Florian Luca; Lawrence Somer πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 158 KB

We examine densities of several sets connected with the Fermat numbers F m ΒΌ 2 2 m ΓΎ 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.