关于Goldbach猜想（A）问题的存在性证明.pdf

关于Goldbach猜想（A）问题的存在性证明

褚宗祥¹ 王雨松² 马艳² 王本富³

（1. 安徽省气象局，安徽合肥 230031；2. 中国科学技术大学，安徽合肥 230026；3.安徽大学，安徽合肥 230031）

摘要: 利用加法群的逆元性质，提出了逆元筛法. 通过分析筛选过程中素数密度的变化，证明了Goldbach猜想（A）问题解的存在性.

关键词：Goldbach猜想（A）；逆元筛法；特征筛选项；存在性证明

中图分类号：O156.4             文献标识码：A

AMS Subject Classification (2000): 11P32

An existence proof of Goldbach conjecture(A)

CHU Zong xiang¹  WANG Yu song²  MA Yan²   WANG Ben fu³

(1.Anhui Meteorology, Hefei 230031,China;

 2.University of Science andTechnology ofChina, Hefei 230026,China;

                            3.Anhui University, Hefei 230031,China)

Abstract: By means of the property of inverse elements of additive groups，the sieve of inverse elements was proposed. Through analysis of changes of prime densities in the sieving process, the existence of solutions was proven for Goldbach conjecture(A) .

Key words: Goldbach conjecture(A); sieve of inverse elements; characteristic sieving term; existence proof