Fermat's Last Theorem -

xn+yn=znx to the n-th power plus y to the n-th power equals z to the n-th power

Fermat's Last Theorem (FLT) states that for any integer , there are no non-zero integers that satisfy the equation: Fermat's Last Theorem

using his method of , he left no general proof for other exponents. For centuries, it became the most famous unsolved problem in number theory, driving major advancements in mathematics despite thousands of failed attempts. 2. The Path to the Proof xn+yn=znx to the n-th power plus y to

The theorem originated around 1637 when Pierre de Fermat scribbled the conjecture in the margin of his copy of Diophantus' Arithmetica . He famously claimed to have a "truly wonderful proof" that the margin was too narrow to contain. While Fermat provided a proof for the specific case of The Path to the Proof The theorem originated

This deceptively simple statement remained unproven for over until it was finally resolved by Sir Andrew Wiles in 1994. 1. Historical Context