%0 Journal Article %A LE Mao-Hua %T The Exceptional Solutions of Goormaghtigh’s Equation (x3-1)/(x-1)=(yn-1)/(y- 1) %D 2001 %R %J Journal of Jishou University(Natural Sciences Edition) %P 29-32 %V 22 %N 1 %X In this paper we prove that the exceptional solutions ( x , y , n) of Goormaghtigh’s equation (x3-1)/(x-1)=(yn-1)/(y- 1) satisfy gcd( x , y ) > 1 and y |\x . %U https://zkxb.jsu.edu.cn/EN/abstract/article_1277.shtml