ABSTRACT
As we mentioned in the introduction, Diophantus lived in Alexandria, Egypt, about 1800 years ago. His book Arithmetica gave methods for solving various algebraic equations and had a great influence on the development of algebra and number theory for many years. The part of number theory called Diophantine equations, which studies integer (and sometimes rational) solutions of equations, is named in his honor.
In this section we study the equation
