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Analogues to Fermat primes related to Pell’s equation

✍ Scribed by Günter Köhler

Book ID
105755881
Publisher
Springer
Year
2010
Tongue
English
Weight
131 KB
Volume
94
Category
Article
ISSN
0003-889X

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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 Křı́žek; Florian Luca; Lawrence Somer 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 158 KB

We examine densities of several sets connected with the Fermat numbers F m ¼ 2 2 m þ 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.