Fermátféle

Fermátféle, also known as Fermat's Last Theorem, is a famous unsolved problem in number theory. It was proposed by Pierre de Fermat in 1637, and it remained unproven for over 350 years. The 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 integer value of n greater than 2. Fermat famously wrote in the margin of his copy of Diophantus' Arithmetica that he had discovered a "truly marvelous proof" of this theorem, but the margin was too small to contain it. The problem gained significant attention and became one of the most famous unsolved problems in mathematics. In 1994, Andrew Wiles announced a proof of Fermat's Last Theorem, which was later found to have a gap. Wiles and Richard Taylor subsequently provided a complete proof in 1995, resolving the problem after centuries of effort. The theorem has had a profound impact on the development of number theory and has inspired numerous other mathematical discoveries.