关于丢番图方程(33n)^(x)+(544n)^(y)=(545n)^(z)

The Diophantine Equation(33n)^(x)+(544n)^(y)=(545n)^(z)

运用初等方法证明了:对于任意的正整数n,除去x=y=z外,丟番图方程(33n)^(x)+(544n)^(y)=(545n)^(z)无其它的正整数解,即当a=33,b=544,c=545时,Jesmanowicz猜想成立.

By elementary method,it is proved that for any positive integern,the Diophantine equation(33n)^(x)+(544n)^(y)=(545n)^(z) has no solutions in positive integer other than x=y=z=2.That is Jesmanowicz conjecture is true when a=33,b=544,c=545.