关于不定方程x^2-77=4y^3

On the Diophantine Equation x^2-77=4y^3

利用代数数论中的理想分解,证明了不定方程x2-77=4y3仅有整数解(x,y)=(±9,1).

Using the method of the ideal resolvation in algebra number theory the integer solution of diophantine equation x2-77=4y3,x,y∈Z was discussed;and the unique integer solution that x=±9,y=1 was got.