质数倒数的二元展开式

IF 0.4 Q4 MATHEMATICS Notes on Number Theory and Discrete Mathematics Pub Date : 2023-11-21 DOI:10.7546/nntdm.2023.29.4.724-736

Brenda Navarro-Flores, José M. González-Barrios, Raúl Rueda

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引用次数: 0

摘要

素数一直是人们非常感兴趣的问题。在这项工作中，我们从埃拉托塞尼斯筛以外的筛子中探索素数。给定一个素数 $p$，我们考虑 $\frac{1}{p}$ 的二进制展开，特别是 $\frac{1}{p}$ 周期的大小。我们展示了一些将周期大小与素数性质相关联的结果。

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Binary expansions of prime reciprocals

Prime numbers have been always of great interest. In this work, we explore the prime numbers from a sieve other than the Eratosthenes sieve. Given a prime number $p$, we consider the binary expansion of $\frac{1}{p}$ and, in particular, the size of the period of $\frac{1}{p}$. We show some results that relate the size of the period to properties of the prime numbers.

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Notes on Number Theory and Discrete Mathematics MATHEMATICS-

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33.30%

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