About: Proof of Fermat's Last Theorem for specific exponents

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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. In the centuries following the initial statement of the result and before its general proof, various proofs were devised for particular values of the exponent n. Several of these proofs are described below, including Fermat's proof in the case n = 4, which is an early example of the method of infinite descent.

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rdf:type	yago:WikicatArticleProofs yago:WikicatMathematicalTheorems yago:Abstraction100002137 yago:Cognition100023271 yago:Communication100033020 yago:Equation106669864 yago:Evidence105823932 yago:Information105816287 yago:MathematicalStatement106732169 yago:Message106598915 yago:Proof105824739 yago:Proposition106750804 yago:PsychologicalFeature100023100 yago:Statement106722453 yago:Theorem106752293 yago:WikicatDiophantineEquations
rdfs:label	برهان مبرهنة فيرما الأخيرة بالنسبة لحالات خاصة للأس (ar) Demostració de l'últim teorema de Fermat (ca) Démonstration du dernier théorème de Fermat pour les exposants 3, 4 et 5 (fr) Proof of Fermat's Last Theorem for specific exponents (en) 特定指数的费马大定理的证明 (zh)
rdfs:comment	برهنت مبرهنة فيرما الأخيرة بالنسبة لعدة قيم خاصة للأس. (ar) 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. In the centuries following the initial statement of the result and before its general proof, various proofs were devised for particular values of the exponent n. Several of these proofs are described below, including Fermat's proof in the case n = 4, which is an early example of the method of infinite descent. (en) 费马大定理的完整证明是一个艰深的过程，但是，对于某些特定的指數n，其证明并不算十分复杂，因此在此展示费马大定理的特例证明。 (zh) En matemàtiques, més concretament en aritmètica modular, el darrer teorema de Fermat tracta de les arrels de l'equació diofàntica següent, amb x, y i z desconeguts :Afirma que no existeix cap solució no trivial si el paràmetre n és estrictament superior a 2. Una equació diofàntica és una equació de coeficients enters en què les solucions són nombres enters. Si, com en aquest exemple, l'expressió és sovint simple, la solució resulta difícil en general. (ca) En mathématiques, plus précisément en arithmétique modulaire, le dernier théorème de Fermat traite des racines de l'équation diophantienne suivante, d'inconnues , et : Il affirme qu'il n'existe aucune solution non triviale si le paramètre n est strictement supérieur à 2. Une équation diophantienne est une équation à coefficients entiers dont les solutions recherchées sont entières. Si, comme dans l'exemple ci-dessus, l'expression est souvent simple, la résolution s'avère en général ardue. (fr)
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dcterms:subject	Fermat's Last Theorem Article proofs
Wikipage page ID	23070485 (xsd:integer)
Wikipage revision ID	1118265630 (xsd:integer)
Link from a Wikipage to another Wikipage	Carl Friedrich Gauss Pythagorean triple Fermat's Last Theorem History of the Theory of Numbers Peter Gustav Lejeune Dirichlet Robert Daniel Carmichael University of St Andrews Victor-Amédée Lebesgue Peter Tait (physicist) Article proofs Christian Goldbach Claude Gaspard Bachet de Méziriac Fundamental theorem of arithmetic Gabriel Lamé Greatest common divisor Andrew Wiles Angelo Genocchi Arithmetica Leonhard Euler Linear equation Mathematische Annalen Parity (mathematics) Axel Thue Adrien-Marie Legendre Fermat's Last Theorem Fermat's little theorem Fermat's right triangle theorem Number theory PBS Karel Rychlík Infinite descent Pythagorean theorem Johannes van der Corput Diophantus Dover Publications Pierre de Fermat Positive integer Sophie Germain Springer Science+Business Media Coprime Integer Guy Terjanian Sophie Germain's theorem Fermat's Enigma Exponent
Link from a Wikipage to an external page	https://archive.org/details/introductiontonu00star_0 https://www.pbs.org/wgbh/nova/proof/%7C http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html https://archive.org/details/fermatslasttheor00acz_pep https://www.ams.org/notices/199507/faltings.pdf%7Ctitle=The http://www.math.harvard.edu/~elkies/ferm.html%7C http://shayfam.com/David/flt/index.htm%7C https://archive.org/details/notesonfermatsla0000vand%7Curl-access=registration%7Cdate=1996-03-06%7Cpublisher=WileyBlackwell https://archive.org/details/threelectureson00mordgoog%7C http://gdz.sub.uni-goettingen.de/dms/load/img/%3FPPN=PPN235181684_0164&DMDID=DMDLOG_0046 http://simonsingh.net/books/fermats-last-theorem/the-whole-story/%7C https://web.archive.org/web/20120227191218/http:/shayfam.com/David/flt/index.htm%7C https://web.archive.org/web/20130116053929/http:/www-gap.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html https://www.bbc.co.uk/programmes/b01ngn3j%7C http://video.google.com/videoplay%3Fdocid=8269328330690408516%7C http://math.stanford.edu/~lekheng/flt/%7C http://math.stanford.edu/~lekheng/flt/ribet.pdf

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