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一种寻找质数分布规律的新方法
引用本文:赵改换,郑海务,高海燕,尹国盛.一种寻找质数分布规律的新方法[J].河南科学,2012,30(1):31-36.
作者姓名:赵改换  郑海务  高海燕  尹国盛
作者单位:1. 河南大学物理与电子学院,河南开封,475004
2. 华北水利水电学院数学与信息科学学院,郑州,450011
基金项目:基金项目:教育部高等学校物理基础课程教学指导分委员会2010年教改项目(WJZW-2010-43-zn)
摘    要:数论是研究整数的性质和相互关系的数学分支学科.整数的基本元素是质数,所以数论的实质是对质数性质的研究,质数在数论中有着非常重要的地位.2000多年来,数论学最重要的一个任务,就是寻找质数的分布规律及普遍公式.利用物理学中的光学原理,将平放的圆片和圆环按一定规律上下层(横称为层,竖称为列)摞起来,然后对其进行光照,则其投影结果为:圆环正好对应质数,圆片正好对应合数,给出了寻找质数分布规律的一种新方法,并用新方法找出了其规律.

关 键 词:光照  圆环  圆片  点列  方格片

A New Method of Finding the Distribution of Prime Number
Zhao Gaihuan , Zheng Haiwu , Gao Haiyan , Yin Guosheng.A New Method of Finding the Distribution of Prime Number[J].Henan Science,2012,30(1):31-36.
Authors:Zhao Gaihuan  Zheng Haiwu  Gao Haiyan  Yin Guosheng
Institution:1. College of Physics and Electronics, Henan University, Kaifeng 475004, Henan China; 2. Department of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China)
Abstract:Number theory is the branch of pure mathematics concerned with the properties of integers. A basic element of integers is prime number, which has important role in number theory study. Number theory, in principle, is a investigation of properties of prime number. For past two thousand years, one of the most important mission of number theory has been finding the distribution of prime number. In this paper, we employ optical principle to provide a new way for finding the distribution of prime number. We stack discs and annuluses with certain rules then turn on the light to illuminate. The projection of annuluses corresponds prime number, and the projection of discs corresponds composite number.
Keywords:illuminate  annuluses  discs  range of points  square pieces
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