A Diophantine Equation is characterized not by the shape of the equation but by the fact that one is interested only in solutions in integers (whole numbers) or rational numbers. Typically, it will have more than one variable. For example, xy = x + y +...

In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all...