摘要
为进一步研究数的堆垒性质,基于爱氏筛法提出一种新的筛法——二数列筛法,运用2种筛法审查数,结果发现一个数被表示为2个素数的倍数之和形状的有关性质及其与数的积性之间存在着必然的关系,进而推导出大于6的偶数与相邻的奇数分别被表示为2个合数之和形状时其解的数量变化的规律,为证明相关的命题提供重要依据。
In order to further study additive character of number, we propose a new sieve method of Sieve Method of Two Number Sequences（SMTNS）based on the Sieve Method of Eratosthenes（SME）. That is to review number by two sieve methods. Related characters to a given number expressed by the sum of multi- ples of two prime numbers and its product character of the number exist a causal relation. From the rela- tion,quantity changing rules of gl and g2 are deduced,where gl is the group number of an even number over 6 expressed as the sum of two composite numbers,and gz is the group number of an odd number which ad- jacent to the even number expressed as the sum of two composite numbers. This is to provied some impor- tant references to the prove of related propositions.
出处
《长春工程学院学报（自然科学版）》
2013年第2期121-125,共5页
Journal of Changchun Institute of Technology：Natural Sciences Edition
关键词
爱氏筛法
二数列筛法
积性
堆垒性
sieve of Eratosthenes
sieve method of two number sequences
product character
additive character
