一个包含Smarandache函数与伪Smarandache函数的方程及其正整数解

An Equation Involving Both Smarandache and Pseudo Smarandache Functions and Its Positive Integer Solutions

利用初等及组合方法研究了一个包含Smarandache函数及伪Smarandache函数方程的可解性,证明了该方程有无穷多个正整数解,并给出了该方程所有正整数解的具体形式.

The main purpose of this paper is to study the solvability of an equation involving both the Smarandache and the pseudo Smarandache functions by using the elementary and combinational methods,and prove that the equation has infinite positive integer solutions.Moreover,the exact form of all positive integer solutions are given for the equation.