Theorem of Fermat

Fermat's Last Theorem states that there are no whole number solutions for the equation \(a^n + b^n = c^n\) when \(n\) is an integer greater than 2. In other words, for exponents of 3 or higher, you cannot find three whole numbers \(a\), \(b\), and \(c\) that satisfy the equation. This theorem was conjectured by Pierre de Fermat in the 17th century and remained unproven until 1994, when mathematician Andrew Wiles provided a proof. The theorem highlights the unique nature of square solutions, which do exist, compared to higher powers where no such solutions exist.