正整数密度分布与素数密度

Integer Density Distribution and Prime Density

摘要: 提出了正整数密度分布概念并进行了初步研究，将其应用于埃氏筛法的“筛余截首”步骤作用分析，得出了素数密度 的结论。尚未完成素数密度 的证明，但提出了完成证明的思路和逼近结论的方法，期待认同这一思路的数学家继续研究并提出权威论证。素数密度是素数分布和所有素数猜想的基础，大多数素数问题可据此解决。

Abstract: The concept of the Integer density distribution is put forward and preliminarily studied. When It is applied to analyse the effect of the Eratosthenes’ sieve, the prime density D is proved to satisfy . The prime density has not been completely proved in this paper, while the train of thought and the method to approach the conclusion are found. The mathematicians who accept this train of thought are expected to further study and put forward the authoritative demonstrations. The prime density is the foundation of the prime distribution and all prime conjecture, based on which, most prime issues can be solved.