一是利用计算机对正整数进行素因子分解认识素数，通过运用筛法与试除法寻找一定范围内的素数，体会到筛法比试除法有效但无法找出所有素数；二是通过若干特殊形式的素数的研究，寻找素数生成公式，发现一些结论；三是借助于非线性拟合技术，观察素数分布规律，利用其研究有关数论问题。-The first computer was used to prime factor decomposition of positive integers understanding of prime numbers, through the use of screening method and trial division to find prime numbers within a certain range, the division experienced a test of an effective screening method but can not identify all the prime numbers　second is through a number of special form of prime numbers research, looking for prime number generation formula, found that some of the conclusions　third, by means of non-linear fitting technique to observe the distribution of prime numbers, using their research on number theory problems.