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- In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions.
en.wikipedia.org/wiki/Fermat's_Last_Theorem
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Learn about the famous conjecture of Pierre de Fermat and its proof by Andrew Wiles in 1995. Explore the history, the mathematics, and the implications of this theorem that states that no three positive integers satisfy the equation an + bn = cn for n > 2.
Learn how British mathematician Andrew Wiles proved a special case of the modularity theorem for elliptic curves, which implies Fermat's Last Theorem. The proof involved many techniques from algebraic geometry and number theory, and was corrected after an error was found in 1993.
Jul 16, 2024 · Learn about the famous mathematical statement that there are no natural numbers x, y, and z such that xn + yn = zn, where n is a natural number greater than 2. Find out how Fermat claimed to have a proof, how mathematicians tried to solve it for centuries, and how Andrew Wiles finally proved it in 1995.
- The Editors of Encyclopaedia Britannica
Learn about the famous conjecture that no three positive integers satisfy \\ (x^n + y^n = z^n \\) for any integer \\ (n>2 \\), and its proof by Andrew Wiles in 1995. Explore the history, applications, and challenges of Fermat's last theorem and related topics.
Learn about the history, proofs and applications of Fermat's Last Theorem, a famous conjecture in number theory. Find out how Fermat claimed to have a proof in his margin notes and how it was finally solved by Wiles in 1995.
Learn how Andrew Wiles solved the 350-year-old problem of Fermat's Last Theorem in 1993, using a new approach based on modularity. Discover how this proof opened up new areas of research in number theory and the Langlands programme.
Learn how Andrew Wiles and Richard Taylor proved Fermat's Last Theorem in 1995, using modular forms, elliptic curves, and Galois representations. See the history, the main ideas, and the challenges of this famous mathematical conjecture.
