关于不定方程(x^p-1)(x-1)=qy

On the indefinite equation (x^p-1)/(x-1)=qy

设p,q均为奇素数,在q=2p+1的情形下,运用初等数论的方法给出了不定方程xp-1/x-1=qy有正整数解的充分条件.

Using elementary theory of numbers methods,obtained a sufficient condition for the existence of positive integer solutions of indefinite equation xp-1/x-1=qy,where p and q=2p＋1 are all odd prime.