What (who) is Proof of Fermat's Last Theorem for specific exponents - definition
Proof of Fermat's Last Theorem for specific exponents
![Caricature of [[Adrien-Marie Legendre]] (the only surviving portrait of him).](https://commons.wikimedia.org/wiki/Special:FilePath/Legendre.jpg?width=200 "Caricature of [[Adrien-Marie Legendre]] (the only surviving portrait of him).")
![[[Leonhard Euler]] by [[Jakob Emanuel Handmann]].](https://commons.wikimedia.org/wiki/Special:FilePath/Leonhard Euler.jpg?width=200 "[[Leonhard Euler]] by [[Jakob Emanuel Handmann]].")
![Portrait of [[Peter Gustav Lejeune Dirichlet]].](https://commons.wikimedia.org/wiki/Special:FilePath/Peter Gustav Lejeune Dirichlet.jpg?width=200 "Portrait of [[Peter Gustav Lejeune Dirichlet]].")
PARTIAL RESULTS FOUND BEFORE THE COMPLETE PROOF
Proofs of Fermat's Last Theorem for specific exponents
Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proved by Andrew Wiles in 1995. The statement of the theorem involves an integer exponent n larger than 2.
Wiles's proof of Fermat's Last Theorem
WILES' ARTICLE
Wiles proof of Fermat's Last Theorem; Wiles proof of Fermats Last Theorem; Wiles' proof of Fermat's Last Theorem; Andrew Wiles's proof of Fermat's Last Theorem; Wiles's proof of Fermat's last theorem; Andrew Wiles' proof of Fermat's Last Theorem
Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem.
Fermat's last theorem
![Problem II.8 in the 1621 edition of the ''Arithmetica'' of [[Diophantus]]. On the right is the margin that was too small to contain Fermat's alleged proof of his "last theorem".](https://commons.wikimedia.org/wiki/Special:FilePath/Diophantus-II-8.jpg?width=200 "Problem II.8 in the 1621 edition of the ''Arithmetica'' of [[Diophantus]]. On the right is the margin that was too small to contain Fermat's alleged proof of his \"last theorem\".")
![Fermat's [[infinite descent]] for Fermat's Last Theorem case n=4 in the 1670 edition of the ''Arithmetica'' of [[Diophantus]] (pp. 338–339).](https://commons.wikimedia.org/wiki/Special:FilePath/Diophantus-VI-24-20-Fermat.png?width=200 "Fermat's [[infinite descent]] for Fermat's Last Theorem case n=4 in the 1670 edition of the ''Arithmetica'' of [[Diophantus]] (pp. 338–339).")
![Ukrainian copyright certificate for a "proof" of Fermat's Last Theorem](https://commons.wikimedia.org/wiki/Special:FilePath/Fermat Last Theorem "proof" registered by Ukraine officials.jpg?width=200 "Ukrainian copyright certificate for a \"proof\" of Fermat's Last Theorem")
THEOREM IN NUMBER THEORY THAT THERE ARE NO NONTRIVIAL INTEGER SOLUTIONS OF Xⁿ+Yⁿ=Zⁿ FOR INTEGER N>2
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¦ noun Mathematics the theorem (proved in 1995) that if n is an integer greater than 2, the equation xn + yn = zn has no positive integral solutions.
Origin
C19: named after the 17th-cent. French mathematician Pierre de Fermat.
