Diophantine equations
= Diophantine equations
{wiki=Diophantine_equations}
Diophantine equations are a class of polynomial equations for which we seek integer solutions. Named after the ancient Greek mathematician Diophantus, these equations are typically of the form: \\\[ P(x_1, x_2, ..., x_n) = 0 \\\] where \\( P \\) is a polynomial with integer coefficients, and \\( x_1, x_2, ..., x_n \\) are unknown variables that we want to solve for in the integers.