本文要向读者提供一些解题分析中的思维经历,涉及到自然的直觉猜想和它那肯定性或否定性的结局.一、素数有无穷多的解题分析在公元前三世纪的《几何原本》中有这样一个命题:预先任意给定几个素数,则有比它们更多的素数.这是一个很重要的命题,它指出素数有无穷多.同时,这又是一 This article provides the reader with some thought experiences in the problem analysis, involving the natural intuition conjecture and its affirmative or negative outcome. First, there are infinitely many problems in the analysis of the problem in the third century BC There is a proposition in this: if you predetermine several prime numbers arbitrarily, there are more prime numbers than they are. This is a very important proposition. It indicates that there are infinite numbers of prime numbers. At the same time, this is a