In this paper,the author has proved that the Diophantine y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3) has no integer solutions when n=13~(2k),k is a natural number .

• 本文用初等方法证明了不定方程y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3)在n=13~(2k)(k为自然数)时无解.