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大偶数表为两个素数之和(下)

The Representation of Large Even Integer as a Sum of Two Primes
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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.
作者 吴新生
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.
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参考文献2

  • 1陈景润.大偶数表为一个素数及一个不超过二个素数的乘积之和[J]中国科学,1973(02).
  • 2G. H. Hardy,J. E. Littlewood. Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes[J] 1923,Acta Mathematica(1):1~70

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