Detecting a Regularity in the Generation and Utilization of Primes in the Multiplicative Number Theory

• 作者: Silviu Guiasu
• 来源期刊: 自然科学期刊(英文)
• 学科: 数学
• 关键词: Goldbach’s CONJECTURE Symmetric Prime Cousins Systemic Approach in NUMBER Theory Parallel System Covering INTEGERS with PRIMES Euler’s FORMULA for the Product of Reciprocals of PRIMES FORMULA for the Exact NUMBER of PRIMES Less than or Equal to an Arbitrary Bound
• 年，卷（期）: 2019,（6）
• 页码范围: 187-196
• 页数: 10页
• 分类号: O1

摘要

If Goldbach’s conjecture is true, then for each prime number p there is at least one pair of primes symmetric with respect to p and whose sum is 2p. In the multiplicative number theory, covering the positive integers with primes, during the prime factorization, may be viewed as being the outcome of a parallel system which functions properly if and only if Euler’s formula of the product of the reciprocals of the primes is true. An exact formula for the number of primes less than or equal to an arbitrary bound is given. This formula may be implemented using Wolfram’s computer package Mathematica.