关于丢番图方程X^2－5Y^4＝－1

On the Diophantine Equation of X￣2-5Y￣4 =-1

本文证明了丢番图方程Ｘ~２－５Ｙ~４＝－１仅有ｘ＝２，ｙ＝１的正整数解。

It was proved that the Diophantine equation X2-5Y4=-1 only has one natural number solution X=2, and Y=1.