数论笔记：素数分布的等价性
A Note on Number Theory: The Equivalence of the Distribution of Prime Numbers
DOI: 10.12677/HANSPrePrints.2020.51025, PDF, 下载: 1,610  浏览: 2,651 
作者: 张 伟：成都大学经济管理学院，四川 成都
关键词: Φ(m)函数；互质；等价性；孪生素数猜想；哥德巴赫猜想；Φ(m) Function； Co-Prime； the Equivalence； the Twin Prime Conjecture； Goldbach Conjecture
摘要: 哥猜与孪猜同源。本文从素数的起源出发，提出了等距区间素数分布的等价性，推出了孪生素数猜想和哥德巴赫猜想的下限式，为孪生素数猜想和哥德巴赫猜想的解决提供了新的思路。
Abstract: Goldbach conjecture and the twin prime conjecture are homologous. The paper from the prime origin, proposes the equivalence of the distribution of prime numbers on equidistant intervals, and derives the lower limit of the twin prime conjecture and goldbach conjecture, which provides a new idea for solving the twin prime conjecture and goldbach conjecture.
文章引用：张伟. 数论笔记：素数分布的等价性[J]. 汉斯预印本, 2020, 5(1): 1-7. https://doi.org/10.12677/HANSPrePrints.2020.51025

参考文献

[1] J.B. Rosser and L. Scloenfeld, approximate formulas for some functions of prime numbers. Lllinois J. MathVolume 6, Issue 1(1962), 64-94.
[2] G.H. Hardy and E.M. Wright, An Introduction to The Theory of Numbers, section 22.8 and 22.19. The Oxford University Press, 4ed, 1959.
[3] 张伟. Φ(m)函数的性质[J]. 应用数学进展, 2020, 9(1): 38-42.
https://doi.org/10.12677/AAM.2020.91005