Fermat's Last Theorem

Fermat's Last Theorem states that there are no three positive integers \(a\), \(b\), and \(c\) that satisfy the equation \(a^n + b^n = c^n\) for any whole number \(n\) greater than 2. In other words, while many solutions exist for \(n = 2\), like the Pythagorean theorem (\(a^2 + b^2 = c^2\)), for higher powers, such solutions do not exist. The theorem was conjectured by Pierre de Fermat in 1637 and remained unproven until mathematician Andrew Wiles provided a proof in 1994, confirming that such solutions are impossible for \(n > 2\).