The Positive Integer Solutions of Ternary Variable Coefficient Euler Function Equation φ(abc)=2φ(a)+3φ(b)+4φ(c)
YUAN Hecai
LI Peiluan
Abstract：We discussed the positive integer solutions of Euler function equation φ(abc)= 2φ(a)+3φ(b)+4φ(c),where φ(n) is Euler function.By using the related content of the elementary number the-ory,a new mathematical technique for solving the equation is proposed,and a total of 70 positive integer solutions are obtained. The solution of the equation can be used to solve the similar Euler function equa-tion problem.
Keywords：Euler functiondiophantine equationpositive integer solutions
Publication Date：2018-04-02
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 137-141 )