This problem has confounded mathematicians for centuries, and there still is no proof for it using [[elementary techniques]]. Most doubt that Fermat was able to prove it himself, as evidenced by the fact that he later proved the n = 4 case separately. | This problem has confounded mathematicians for centuries, and there still is no proof for it using [[elementary techniques]]. Most doubt that Fermat was able to prove it himself, as evidenced by the fact that he later proved the n = 4 case separately. |