Author(s): GUAN Wen-ji
Pages: 247-248
Year: 2015 Issue:  31
Journal: Value Engineering
Keyword:  Smarandache function; pseudo Smarandache function; integral solution;
Abstract: 对于任意自然数n,Smarandache函数S(n)指最小的正整数m,能够满足n|m!.对于任意给定的正整数n,著名的伪Smarandache函数Z(n)定义为最小的正整数m,使得n | 1+2+…m=m(m+1)/2. 文章用初等方法研究了方程S(n)+Z(n)=n和S(n)=P(n),并给出了它们的全部解.