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孪生素数问题研究
引用本文:谭松柏,谭学先.孪生素数问题研究[J].湖南工业职业技术学院学报,2010,10(6):152-154.
作者姓名:谭松柏  谭学先
作者单位:湖南省益阳市电业局,湖南益阳413000
摘    要:大于3的素数,含在6n-1、6n+1两数列中。通过对数列序号n的研究,发现了6n-1及6n+1两列数中的合数项所对应序号n的分布规律——集中分布在模p数表的两列数中。通过利用模p数表的特性筛去所有合数项所对应序号n的方法,最终得出了"孪生素数有无限多"以及"大于8的偶数都可表为二素数之和,且偶数越大,表为二素数和的表法个数就越多。当数值相近时,能被6整除的偶数,比不能被6整除的偶数,上述表法个数几乎多,一倍"的结论。

关 键 词:数列  序号  素数  合数  偶数  模P

A Research on Twin Primes
TAN Song-bo,TAN Xue-xian.A Research on Twin Primes[J].Journal of Hunan Industry Polytechnic,2010,10(6):152-154.
Authors:TAN Song-bo  TAN Xue-xian
Affiliation:TAN Song-bo;TAN Xue-xian(Hunan Yiyang Electric Office,Yiyang 413000,Huan)
Abstract:Any primes bigger than 3 are included in the 2 sequences of 6n-1 and 6n+1.Through a careful analysis on the series number n,it is discovered that in the 2 sequences of 6n-1 and 6n+1,those ns according to the terms are composite number are concentrated in two sequences of the number list in modulus p.Through a way to sieve out all the ns which the terms are composite number,it is demonstrated that: "twin primes are unlimited" and "Any even number bigger than 8 can be the sum of two primes and the bigger the even number,the more the prime matches,and when the even numbers are in form of 6n,the amount of prime matches are nearly double more than what when the even numbers are formed in 6n-2 and 6n+2 ?".
Keywords:sequence  series number  prime number  composite number  even number  modulus P
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