Fermat's theorem

Fermat's theorem

The works of 17th century mathematician Pierre de Fermat engendered many theorems. Fermat's theorem most commonly refers to one of the following theorems:
* Fermat's Last Theorem
* Fermat's little theorem
* Fermat's theorem on sums of two squares
* Fermat's theorem (stationary points)
* Fermat's principle
* Fermat polygonal number theorem


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  • Fermat's theorem (stationary points) — Fermat s theorem is a theorem in real analysis, named after Pierre de Fermat. It gives a method to find local maxima and minima of differentiable functions by showing that every local extremum of the function is a stationary point (the function… …   Wikipedia

  • Fermat's theorem on sums of two squares — In number theory, Pierre de Fermat s theorem on sums of two squares states that an odd prime p is expressible as:p = x^2 + y^2,,with x and y integers, if and only if:p equiv 1 pmod{4}.The theorem is also known as Thue s Lemma, after Axel Thue.For …   Wikipedia

  • Fermat'slast theorem — Fer·mat s last theorem (fĕr mäzʹ) n. The theorem that the equation an + bn = cn has no solutions in positive integers a, b, c if n is an integer greater than 2. It was stated as a marginal note by Pierre de Fermat around 1630 and not proved until …   Universalium

  • Fermat's theorem — Math. the theorem that an integer raised to a prime power leaves the same remainder as the integer itself when divided by the prime. [1805 15; named after P. de FERMAT] * * * …   Universalium

  • Fermat's theorem — Math. the theorem that an integer raised to a prime power leaves the same remainder as the integer itself when divided by the prime. [1805 15; named after P. de FERMAT] …   Useful english dictionary

  • Proofs of Fermat's theorem on sums of two squares — Fermat s theorem on sums of two squares asserts that an odd prime number p can be expressed as: p = x^2 + y^2with integer x and y if and only if p is congruent to 1 (mod 4). The statement was announced by Fermat in 1640, but he supplied no proof …   Wikipedia

  • Fermat's Last Theorem in fiction — The famous problem in number theory known as Fermat s Last Theorem has repeatedly received attention in fiction and popular culture.* In The Royale , an episode of , Captain Picard states that the theorem had gone unsolved for 800 years. At the… …   Wikipedia

  • Fermat's last theorem — /fer mahz /, Math. the unproved theorem that the equation xn + yn = zn has no solution for x, y, z nonzero integers when n is greater than 2. [1860 65; named after P. de FERMAT] * * * Statement that there are no natural numbers x, y, and z such… …   Universalium

  • Theorem der endlos tippenden Affen — Durch zufälliges Tippen von unendlicher Dauer auf einer Schreibmaschine werden mit Sicherheit alle Texte Shakespeares oder diverser Nationalbibliotheken entstehen. Das Infinite Monkey Theorem (v. engl. infinite „unendlich“; monkey „Affe“; theorem …   Deutsch Wikipedia

  • Fermat's Last Theorem — is the name of the statement in number theory that:: It is impossible to separate any power higher than the second into two like powers,or, more precisely:: If an integer n is greater than 2, then the equation a^n + b^n = c^n has no solutions in… …   Wikipedia

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