奇素数函数及应用

The Odd Prime Function and Its Application

定义了奇素数函数和简化素数函数,证明了奇素数函数的值域是奇素数全集,简化素数函数的值域是不小于5的素数集合.同时应用这一结果,给出了素数判别函数,分析了孪生素数、梅森素数、费马素数、高斯素数、艾森斯坦素数、等差素数、偶变量素数、奇变量素数等的分布规律.说明了素数除了偶素数2之外,奇素数及其各类素数都有分布规律.

This paper makes a definition for the prime function of odd prime and simplifies the prime function. It gives a proof that the range of odd prime function is corpora and the range of simplified prime function is a set of prime function no less than 5. While using this application,it also gives a definition of the Prime Discriminant Function,the analysis on Twin Function,Mersenne Prime,Femat Prime,Gaussian Prime,Eisenstein Prime,Arithmetical Series Prime,Even Number Variable Prime and the distribu- ting rule of Odd Number Variable Prime and Secure Prime. It illustrates that besides even prime number 2,the odd prime number and of all the types of prime number have its distributing rules.