Cubic Diophantine Family

There are infinitely many integer solutions \( (x,y,z) \) to the equation \[ x^3+2y^3+4z^3-6xyz = 1. \] There is a unique solution such that \( x,y,z \) are positive and \( 500 \le x \le 4000 \). Find \( x \).

×

Problem Loading...

Note Loading...

Set Loading...