摘要
运用一种新的筛法,筛去较小的孪生素数和不满足孪生素数条件的数,运用初等数学的方法,证明其有无穷多个,从而证明了孪生素数有无穷多个。且给出了孪生素数分布的一个规律,即对于一切素数p,在任何两个相邻素数平方的区间p2i,p2i+1上,至少有一组孪生素数。此方法还可以用于其他素数间隔是否为无限个的判断和证明以及分布规律的研究。
In this paper, a new sieve method is applied to sieving out small twin primes and those not meet conditions. And with elementary mathematical methods, twin primes is proved to be infinite. A reqularity of twin primes distribation is also qiven： to every p, there is at least one group of twin primes in the interval of any two adjacent primes squares [2i,p2i＋1]. This method can also be used to determine and prove if other intervals of primers is infinite or not, and for study of the distribution regularity. Key words ：sieve method ;twin primes ;distribution
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2013年第5期18-21,21,共4页
Journal of Foshan University(Natural Science Edition)
关键词
筛法
孪生素数
分布
sieve method
twin primes
distribution
