【摘要】 研究了方程φ(xyz)=φ(x)+2φ(y)+5φ(z)的可解性问题,φ(n)定义为欧拉函数。利用欧拉函数的性质和初等数论中的整除理论,得到了该方程的所有正整数解。更多还原

【Abstract】 The solvability of equation φ(xyz)=φ(x)+2φ(y)+5φ(z) was discussed,and by using the properties of Euler function and the divisible theory of elementary number theory,all positive integer solutions of the equation were obtained.更多还原