摘要
In the paper: the representation of large ev en integer as a sum of two primes is proved to be right independently by each of W-progression ∑(∞)(X n=1D)(n+1)(n-1)!of the discovery and the prime theorem. I t is induced as two following problems which are solved for getting results of ration: Is there a function of f(2n) to be only depend ent upon 2n or not? And it can express a number of group of prime solutions on r epresentatio n of even integer as a sum of two primes. In one- dimensional space, the prime t heorem is led into odd sequence integer to find P(G)~2 log n is regarded as a data handling tool for setting a mathematical model of ran dom sampling, get:P2n(1,1)n>2 2n-P 2=P 1=f(2n)~(2nlogn/2log2nlog2n(2n→∞). The prime theorem π(x) is gene ralized to the two-dimensional space: π(x,y). A mathematical model of average values is set up by π(x,y), get: P2n(1,1)2 (X n>2 2n=P 1+P 2)=f(2n)2~(2n log22n SX) (2n→∞). But for expressing a number of group of prime solutions of even integer,the laws of values of principal steps of the two different functions f(2n) and f(2n) 2 are unanimous. Thus, the proof of different ways lead to the same result and determines a forceful declaration: Goldbach’s conjecture is proved to be a right theorem.
In the paper: the representation of large ev en integer as a sum of two primes is proved to be right independently by each of W-progression ∑(∞)(X n=1D)(n+1)(n-1)!of the discovery and the prime theorem. I t is induced as two following problems which are solved for getting results of ration: Is there a function of f(2n) to be only depend ent upon 2n or not? And it can express a number of group of prime solutions on r epresentatio n of even integer as a sum of two primes. In one- dimensional space, the prime t heorem is led into odd sequence integer to find P(G)~2 log n is regarded as a data handling tool for setting a mathematical model of ran dom sampling, get:P2n(1,1)n>2 2n-P 2=P 1=f(2n)~(2nlogn/2log2nlog2n(2n→∞). The prime theorem π(x) is gene ralized to the two-dimensional space: π(x,y). A mathematical model of average values is set up by π(x,y), get: P2n(1,1)2 (X n>2 2n=P 1+P 2)=f(2n)2~(2n log22n SX) (2n→∞). But for expressing a number of group of prime solutions of even integer,the laws of values of principal steps of the two different functions f(2n) and f(2n) 2 are unanimous. Thus, the proof of different ways lead to the same result and determines a forceful declaration: Goldbach’s conjecture is proved to be a right theorem.
出处
《安徽广播电视大学学报》
2001年第1期67-77,共11页
Journal of Anhui Radio & TV University
关键词
大偶数表
素数
GOLDBACH猜想
定理证明
增长因子
Goldbach’s conjecture
W-progression
pri m e theorem
second prime probability
prime solution of even integer
Goldbach’s first space
Goldba ch line
Goldbach’ conjecture spots; probability number theory.