Research on Equation \(\varphi\) (x)+2 = \(\varphi\) (x+2)
Huang Yize
Department of Mathematics, Zhejiang International Studies University, Hangzhou-310023, P. R. China.
Shen Zhongyan *
Department of Mathematics, Zhejiang International Studies University, Hangzhou-310023, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we use the properties of Euler’s function, elementary methods and the idea of classification discussion to study the solvability of equation \(\varphi\) (x)+2 = \(\varphi\) (x+2)
Keywords: Euler function, equation, solution, Mersenne prime, Twin prime