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素数的一个特殊性质及其用于伪随机数生成的方法
A special property of prime numbers and its applications in generating quasi-random numbers
【摘要】 提出素数的一个特殊性质 ,定义了一类超素数 ,证明了相关的定理。基于上述理论分析 ,提出一种伪随机数生成的新方法———超素数法 ,统计结果表明本文方法具有良好的统计特性 ,由此得到的伪随机数序列可用作伪随机数发生器 ,文中给出了计算方法和数值示例
【Abstract】 A special property of prime numbers was addressed and used for generating quasi random numbers. First it was proved that let M be a selected prime number, all of which constitutes a subset of prime numbers, and Z be a whole number, 0ZM , then Z/M yields a pure circulating decimal with a repetend of ( M -1). By defining this special property of the prime numbers, a theorem was proved which provides a congruential method for generating number sequence {z i} with a period of ( M -1) and z i ∈ and z i being uniformly distributed within in one period. Finally, based on the above analysis, a congruential method for generating quasi random numbers was proposed.
【Key words】 number theory; prime number; quasi random number; Monte Carlo similation;
- 【文献出处】 北京化工大学学报(自然科学版) ,Journal of Beijing University of Chemical Technology , 编辑部邮箱 ,2003年03期
- 【分类号】O156
- 【被引频次】22
- 【下载频次】343