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Fermat theorem

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  • 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

  • Fermat's little theorem — (not to be confused with Fermat s last theorem) states that if p is a prime number, then for any integer a , a^p a will be evenly divisible by p . This can be expressed in the notation of modular arithmetic as follows::a^p equiv a pmod{p},!A… …   Wikipedia

  • 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 Enigma — is a book which explains Fermat s last theorem, beginning with Pythagoras up until its proof by Andrew Wiles, written by Simon Singh and published in 1998 …   Wikipedia

  • Fermat number — In mathematics, a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form:F {n} = 2^{2^{ overset{n} {} + 1where n is a nonnegative integer. The first nine Fermat numbers are OEIS|id=A000215:As of|2008 …   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, Pierre de — born Aug. 17, 1601, Beaumont de Lomagne, France died Jan. 12, 1665, Castres French mathematician. Of Basque origin, Fermat studied law at Toulouse and developed interests in foreign languages, Classical literature, ancient science, and… …   Universalium

  • 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'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

  • 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 …   Wikipedia

  • Fermat , Pierre de — (1601–1665) French mathematician and physicist Fermat was one of the leading mathematicians of the early 17th century although not a professional mathematician. Born at Beaumont de Lomagne in France, he studied law and spent his working life as a …   Scientists

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