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数论新方法--梳子法
s元素 h元素 梳子法 剩余元素
2011/9/22
“梳子法”将自然数分为两种不同的元素s元素和h元素，将自然数中指定区域内的素数集组成“梳子”，通过调整“梳齿”的不同结构来梳选特定的自然数集，可将一系列有关素数分布的猜想，由数论中原来对整数的研究，转换为对距离的研究，为数论研究提供一种新的思想和方法。
In this paper we extend the proof of the twin prime conjecture to prove the Sophie Germain prime conjecture and to attack the Cunningham chain. We show also that there are infinitely many composites i...
There always exists at least one prime between x and x+x^{1/2} when x is sufficiently large
Pprime distribution of primes
2011/9/21
In this paper one has shown that there always exists at least one pseudo prime number between x and x+x^{1/2} when x is sufficiently large for a pseudo sequence of odd numbers, so it also is true that...
There always exists at least one prime between x and x+log^2(x) when x> =8
Prime distribution of primes
2011/9/21
In this paper one has shown that there always exists at least one pseudo prime number between x and x+log^2(x), so it also is true that there always exists at least one real prime number for the real ...
A new two-dimension sieve method and the proof of the Goldbach's conjecture
sieve Goldbach conjecture
2011/9/21
This paper advanced a new two-dimension sieve method of using some deleted lines to sum formulae with some odd composites in formula columns for every even number >6, and proved a stronger Goldbach\&#...
Every prime larger than 3 is arithmetic mean of other two primes
prime distribution of primes arithmetic progression Goldbach conjecture
2011/9/21
In this paper a new stronger proposition has been advanced and shown, that is, every prime larger than 3 is arithmetic mean of other two primes, and other important propositions that there are infinit...
Every even number is equal to the difference of two prime number
sieve method two-dimension sieve method even number
2011/9/21
This paper have proved a conjecture about that every even number is equal to the difference of two prime numbers by using a two-dimension sieve method of using odd composites to the difference formula...
The irregular distribution of primes up to 300,000 in the sequence of odd numbers
prime distribution of primes
2011/9/19
In this paper we listed a sequence of odd numbers up to 300,000 by a computer calculating and it could be find that the density of prime numbers is decreased as odd number increases and that there exi...
The distribution of pseudo prime numbers up to 300,000 in pseudo sequence of odd numbers
prime pseudo prime distribution of pseudo primes
2011/9/19
In this paper a pseudo sequence of odd numbers had been advanced, and the number of pseudo prime numbers in it are largely less than the real prime numbers in the real sequence of odd numbers. This ps...
FORTRAN source program calculating the Goldbach-Xu’s numbers with recursive method
Goldbach’s conjecture Goldbach-Xu’s number prime distribution of primes
2011/9/19
In this paper we have presented two source programs with FORTRAN 90 language to calculate the distribution of prime numbers in the sequence of odd numbers and the Goldbach-Xu’s numbers for every even ...
本文在自然级数拆分的基础上，研究了偶数的分类、分拆问题，揭示了各类偶数与其分拆的对应规律，进而应用所定义的素数分布的均值公式和相关的整数恒等式，化求和为求积，首次推导出了哥德巴赫猜想及n生素数猜想分布的渐近式，准确地描述了其分布规律。
C++ source program calculating the Goldbach-Xu’s numbers with recursive method
Goldbach’s conjecture Goldbach-Xu’s number prime distribution of primes source program
2011/9/19
In this paper we have presented two source programs with C++ to calculate the distribution of prime numbers in the sequence of odd numbers and the Goldbach-Xu’s numbers for every even number respectiv...
哥德巴赫猜想即每个不小于6的偶数都是两个奇素数之和，即“1+1”。本文根据数论的定理和集论的理论，唯物辨证法；数学归纳法原理，命题转化法，反证法，给定素数法；并用映射理论和一一对应法则及数列的排列规律，证明了该猜想成立 ，即“1+1” 成立 ；而且每个＞6的偶数都是两个不同的奇素数之和的定理成立。
A FORTRAN source program for calculating the Polignac-Xu’s numbers with the recursive method
Problem of Goldbach’s conjecture type Polignac-Xu’s number prime distribution of primes
2011/9/19
In the field of number theory, in addition to Goldbach’s conjecture, there is another similar problem: Is there an even number >2 which is not the difference of two primes? An American mathematics T. ...