61. Fermat's Last Theorem Aug 27, 2010 This 45minute documentary on Andrew Wiles proof of Fermat s Last Theorem is surprisingly powerful and emotional. Give it until 145 or so http://kottke.org/10/08/fermats-last-theorem

62. ���: Iatco Sergiu. Simplification Of Prove Of Fermat Theorem Iatco Sergiu. Simplification of prove of Fermat theorem. Разное. Киевская городская электронная библиотека. http://lib.misto.kiev.ua/TXT/fermat.txt

lib.misto kiev.ua : Iatco Sergiu. Simplification of prove of Fermat theorem cmsBannerRegister('advert_top'); cmsBannerControlShow(2); document.write('�����: '); Html Fine HTML Printed version txt(Word,���) Iatco Sergiu. Simplification of prove of Fermat theorem cmsBannerRegister('advert1'); Iatco Sergiu. Simplification of prove of Fermat theorem R.Moldova District Rascani Village Recea itsergiu@yahoo.com Date: 4 May 1999 Dear Sir, I am an amateur mathematician. First time I read about Fermat's last theorem when I was 15 years old. Just like other people from the beginning I dreamt to prove one day it. Last year I found out that A.Wiles and R.Taylor proved it. I read this proof and I found it (just like other people) too complex. I analysed the Fermat's last theorem and I succeed to simplify it as follows: Let have Fermat's equation: a n +b n =c n , where n>2 (1) Because c=p1*...*pt, where pi - prime number, equation (1) becomes: a n +b n n *...*pt

63. Marilyn Explains Fermat's Last Theorem Jun 30, 1998 If we reject Wiles proof of Fermat s Last Theorem, must we also reject Einstein s General Theory of Relativity? http://www.wiskit.com/marilyn/fermat.html

Marilyn Explains Fermat's Last Theorem Marilyn is Wrong Herb Weiner by Marilyn vos Savant is a column in Parade Magazine , published by PARADE, 711 Third Avenue, New York, NY 10017, USA. According to Parade, Marilyn vos Savant is listed in the "Guinness Book of World Records Hall of Fame" for "Highest IQ." In her Parade Magazine column of November 21, 1993, Marilyn reports that she does not believe that Andrew Wiles has succeeded in proving Fermat's Last Theorem, because the proof relies on non-Euclidean (hyperbolic) geometry. Note that in the discussion that follows, the notation x**n is used to represent x to the nth power. I disagree! Just because a tool is inappropriate for one task does not mean that tool is inappropriate for all other tasks. If we reject Wiles' proof of Fermat's Last Theorem, must we also reject Einstein's General Theory of Relativity? When we are asked to solve a problem using "only a ruler and a straightedge," I think it's inappropriate to rely on non-Euclidean geometry. While Wiles' proof is clearly not the same as Fermat's "remarkable" proof, I don't understand why it's invalid simply because it relies on non-Euclidean geometry. As a non-mathemetician, this is the strongest argument I can make. I'll surely be hearing from my creative readers.

64. Full Text Translator, Language Translation | Free Translations From Dictionary.c Free full text language translations at Translate.Reference.com. Free online translator and multilingual dictionary for over 50 foreign languages. http://translate.reference.com/translate?query=fermat theorem

65. PlanetMath: Fermat's Last Theorem Jan 26, 2002 Fermat s last theorem was put forth by Pierre de Fermat around 1630. It states that the Diophantine equation ($a, b, c, n \in \mathbb{N}$ ) http://planetmath.org/encyclopedia/FermatsLastTheorem.html

(more info) Math for the people, by the people. donor list find out how Encyclopedia Requests ... Advanced search Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About Fermat's last theorem (Theorem) Fermat's Last Theorem Fermat's last theorem was put forth by Pierre de Fermat around 1630. It states that the Diophantine equation $$ a^n + b^n = c^n $$ has no non-zero solutions for History Fermat's last theorem was actually a conjecture and remained unproved for over 300 years. It was finally proven in 1994 by Andrew Wiles , an English mathematician working at Princeton. It was always called a ``theorem'', due to Fermat's uncanny ability to propose true conjectures. Originally the statement was discovered by Fermat's son Clement-Samuel among margin notes that Fermat had made in his copy of Diophantus' Arithmetica . Fermat followed the statement of the conjecture with the infamous teaser: ``I have discovered a truly remarkable proof which this margin is too small to contain'' Over the years, Fermat's last theorem was proven for various sub-cases which required specific values of

66. Fermat's Last Theorem Is Solved An attempted elementary proof of Fermat s Last Theorem by James Constant, rejecting that of Wiles. http://www.coolissues.com/mathematics/Fermat/fermat.htm

PROOF OF FERMAT'S LAST THEOREM James Constant math@coolissues.com Fermat's Last Theorem is solved using the binomial series A new theorem determining the irrationality of a number using its infinite series expansion is presented. For simple proofs see http://www.coolissues.com/BealFermatPythagorasTriplets.htm http://www.coolissues.com/BealFermatPythagoras/proofs.htm http://www.coolissues.com/mathematics/Exponential/series.htm Introduction Fermat (1601-1665) claimed in 1637 to have discovered a marvelous proof of his last theorem. xyz x,y,z,m integers The Binomial Series Before seeking the solution to Fermat's last theorem, consider the binomial series in which a is an arbitrary number, positive or negative, rational or irrational. The Bounds of Exponent a The exact conditions under which the series, equation (2), is convergent are as follows 1. If index a is an integer the series terminates and is valid for all values of x and becomes the Binomial Theorem. 2. For all other values of a , the series is absolutely convergent for and divergent for 3. For

67. Notes On Fermat's Last Theorem Alf van der Poorten (Wiley, 1996). Contents, reviews. http://www.maths.mq.edu.au/~alf/NotesonFLT.html

Notes on Fermat's Last Theorem Read also the publisher's blurb Alf van der Poorten Notes on Fermat's Last Theorem Canadian Mathematical Society Series of Monographs and Advanced Texts, WileyInterscience , January, 1996 222 + xvi pages ISBN 0-471-06261-8 Library of Congress Call Number QA 244.V36 1996 Everything you've been wanting to ask about number theory and Fermat's Last Theorem but were afraid to admit you didn't know. "Notes on Fermat's Last Theorem" was awarded the Association of American Publishers 1996 Professional/Scholarly Publishing Award for Excellence in Mathematics. Note that a second corrected and mildly revised edition is in preparation. "The poetry far excels that normally found in math books". H W Lenstra "I love the book. Thanks for writing it. If you're ever in the Cotswolds come and stay". K B MD "Hype and false promotion". "Lack of scholarship". Serge Lang "... it should be bedtime reading for every mathematician". Ram Murty "It is well-worth the two stars that the Monthly mini-reviews gave it ('A=B' only got one star)". Doron Zeilberger "... polished, eccentric, opinionated and inspiring ... " Andrew Granville [see

68. Fermat S Last Theorem/Andrew Wiles - Wikibooks, Collection Of Open Jul 4, 2010 Obviously he was not able to find it, he would pursue Fermat s theorem for a good part of his life. Wiles became a professional http://en.wikibooks.org/wiki/Fermat's_Last_Theorem/Andrew_Wiles

69. CAT.INIST Titre du document / Document title Fermat theorem and elliptic color histogram features Auteur(s) / Author(s) CINQUE L. (1); LEVIALDI S. (1); MALIZIA A. (1); DE ROSA F. (1); http://cat.inist.fr/?aModele=afficheN&cpsidt=15152512

70. Sophie Germain And FLT by L Riddle Cited by 1 - Related articles http://www.agnesscott.edu/lriddle/women/germain-flt/sgandflt.htm

Biographies of W omen Mathematicians Home Alphabetical Index Chronological Index Resources ... Search Sophie Germain and Fermat's Last Theorem Larry Riddle Department of Mathematics Agnes Scott College (Last revised: July 21, 2009) In the late 1630s, Pierre de Fermat (1601-1665) wrote a marginal note in his copy of Claude Bachet's Latin translation of Diophantus's Arithmetica that was to intrigue mathematicians for the next 300 years. "It is impossible to separate a cube into two cubes, or a biquadrate into two biquadrates, or in general any power higher than the second into two powers of like degree; I have discovered a truly remarkable proof which this margin is too small to contain." In modern symbolic notation, which Fermat did not have available to him, this claim is known as Fermat's Last Theorem (FLT): x n + y n = z n This challenge problem has received attention of many mathematicians of the highest ability, including Euler, Legendre, Gauss, Abel, Sophie Germain , Dirichlet, Kummer and Cauchy. Quite a list of distinguished mathematicians! It is interesting that Dickson gave the first name of only one person on this list. Perhaps it was because of all the names given, he felt that Sophie Germain would be the least recognized by most readers. But indeed, Sophie Germain was one of the first to provide a grand plan for proving Fermat's Last Theorem, and to give a partial solution for a large class of exponents.

71. Another Proof For Fermat's Last Theorem | Plus.maths.org May 6, 2005 Fermat s last theorem says that this equation can t be satisfied for n a parent of Fermat s last theorem mathematicians have known for http://plus.maths.org/content/another-proof-fermats-last-theorem

Skip to Navigation about Plus support Plus Plus sponsors ... subscribe to Plus Search this site: by Marianne Freiberger Submitted by plusadmin on May 5, 2005 in News Fermat's last theorem says that this equation can't be satisfied for n greater than 2 Chandrashekhar Khare , a mathematician from the University of Utah, has announced that he has proved what is known to experts as the "level-one Serre conjecture". This conjecture was posed in 1972 by the Fields medallist Jean-Pierre Serre , and belongs to the field of Arithmetic Algebraic Geometry. At this point we should of course say what the conjecture states, and explain its importance in the real world. This, however, is easier said than done, as those of us who are not experts would have to spend several months studying seriously advanced mathematics, just in order to understand the statement. Luckily though, the conjecture belongs in a wider context - which we can attempt to explain - and has a famous relative: Fermat's last theorem. Serre's conjecture is in a sense a parent of Fermat's last theorem: mathematicians have known for some time that if the first is true then so is the second. In fact, it is a certain part of the conjecture which implies Fermat's last theorem, and this part was proved by Khare and his collaborator J.P. Wintenberger, and independently by the mathematician Dieulefait.

72. Proof Of Euler Fermat Theorem Article on Proof Of Euler Fermat Theorem New! You can click on formulas to copy the LaTeX source to your clipboard. Math Videos http://myyn.org/m/article/proof-of-euler-fermat-theorem/

73. Number Theory Fermat S Last Theorem File Format PDF/Adobe Acrobat Quick View http://www.math.nmsu.edu/~history/book/numbertheory.pdf

74. Fermat Theorem Quotes - Science Quotes - Dictionary Of Science Quotations And Sc I confess that Fermat's Theorem as an isolated proposition has very little interest for me, for a multitude of such theorems can wasily be set up, which one could neither prove http://www.todayinsci.com/QuotationsCategories/F_Cat/FermatTheorem-Quotations.ht

Home Category Index for Science Quotations Category Index F Fermat Theorem Quotes (1 quote) extension of the theory of numbers. Of course, this theory belongs to the things where one cannot predict to what extent one will succeed in reaching obscurely hovering distant goals. A happy star must also rule, and my situation and so manifold distracting affairs of course do not permit me to pursue such meditations as in the happy years 1796-1798 when I created the pricipal topics of my Disquisitiones arithmeticae . But I am convinced that if good fortune should do more than I expect, and make me successful in some advances in that theory, even the Fermat theorem will appear in it only as one of the least interesting corollaries. Carl Friedrich Gauss Letter to Heinrich Olbers (21 Mar 1816). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science Pierre de Fermat Theorem Custom search within only our quotations pages: Sitewide search within all Today In Science History pages: Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology. A B C D ... Amazon.com Widgets

75. Crank Dot Net | Fermat's Last Theorem Here we will look at another method of simple proof of Fermat s Last Theorem ( FLT) which was published in the booklet Fermat s Last Theorem Proved and http://www.crank.net/fermat.html

Contably infinite counterexamples to Fermat's Last Theorem 2005 Jul 02 Fermat's Last Theorem "To L. C. Young?s enrichment methodology is added this twin orientation: (a) the existence of long-standing unsolved scientific problem reveals the inadequacy of the underlying fields and (b) such problem is an opportunity and a catalyst for advancing those fields. This novel way of looking at a scientific problem has forged, in the course of its implementation, a new scientific methodology, the dynamic methodology, that has to its credit the resolution of Fermat's last theorem (FLT), the solution of the gravitational n-body problem, the development of the flux theory of gravitation and its adaptation to Earth, the theory of turbulence and the construction of the new reals. It is a superior alternative to the present descriptive pragmatic methodology of physics. Its main application here is the extension and clarification of including the construction of the countably infinite counter-examples to Fermat's last theorem." In Defense of Mr. Fermat

76. FERMAT S LAST THEOREM File Format PDF/Adobe Acrobat Quick View http://www.math.armstrong.edu/faculty/chang/math/fermat.pdf

77. BBC - H2g2 - Fermat's Last Theorem Apr 3, 2001 Fermat s last theorem was originally not so much a theorem as a conjecture. Pierre de Fermat was a 17th Century French lawyer who spent his http://www.bbc.co.uk/dna/h2g2/A521966

@import '/h2g2/skins/brunel/brunel.css'; @import '/dnaimages/bbcpage/v3-0/toolbar.xhtml-transitional.css'; Skip to main content Text Only version of this page Access keys help Home Explore the BBC 31st October 2010 Accessibility help Text only Guide ID: A521966 (Edited) Edited Guide Entry SEARCH h2g2 Edited Entries only Advanced Search Sign in or register to join or start a new conversation. BBC Homepage The Guide to Life The Universe and Everything 3. Everything Mathematics Created: 3rd April 2001 Fermat's Last Theorem Front Page What is h2g2? Who's Online Write an Entry ... Contact Us Like this page? Send it to a friend! Fermat's last theorem was originally not so much a theorem as a conjecture. Pierre de Fermat was a 17th Century French lawyer who spent his spare time thinking about number theory . He made a note in his copy of Bachet's translation of Diophantos' Arithmetica , next to the posed problem of finding all solutions to the equation in Pythagoras theorem. It seemed to him that the generalised problem of finding integer solutions a, b, c to the equation a n +b n = c n was impossible, provided that n is an integer larger than two; and that he had found a

78. Instructional Conference On Fermat S Last Theorem - Mathematics University of Illinois at UrbanaChampaign, USA; 618 August 2000. http://www.math.uiuc.edu/~boston/workshop.html

Note: The deadline below passed but there are still a few open spaces. If you or your student is interested, please contact us as soon as possible! Instructional Conference on Fermat's Last Theorem August 6-18, 2000 University of Illinois at Urbana-Champaign Organizing Committee: Nigel Boston UIUC Chris Skinner, IAS and Michigan From August 6-18, 2000, the Instructional Conference on Fermat's Last Theorem will be held as one of the featured events in a Special Year in Number Theory at the University of Illinois. It is intended to provide advanced graduate students with a detailed overview of the recent proof of Fermat's Last Theorem. Workshop participants will arrive Sunday, August 6 and leave at about lunchtime Friday, August 18. The meeting will consist of morning lectures by each of the organizers, followed by breaking into 4 groups of 6 students each to work on projects. These projects will fill some of the holes left in the lectures. Towards the end of the two weeks, students will present talks on their group work. There will be some social events (a reception at the start, an outing in the middle, and banquet at the end). Sponsors The conference is hosted by the Mathematics Department at the University of Illinois and is supported by the Number Theory Foundation and the National Science Foundation.

79. Fermat S Last Theorem - Uncyclopedia, The Content-free Encyclopedia Sep 1, 2010 Fermat s Last Theorem is the single most important theorem ever, but nobody knows why. It is formally stated as Hey, if I claim to discover http://uncyclopedia.wikia.com/wiki/Fermat's_Last_Theorem

80. Embedded In Academia : C Compilers Disprove Fermat’s Last Theorem Apr 28, 2010 This loop only terminates if it finds a counterexample to a special case of Fermat s Last Theorem. Fermat s Last Theorem, of course, http://blog.regehr.org/archives/140

Embedded in Academia Skip to content Home [Update: This post doesn't explain the underlying issues very clearly.  I wrote a new post that is better or Most compilers will emit something like this: foo: L2: jmp L2 Perhaps interestingly, LLVM/Clang recognizes that this slightly obfuscated infinite loop never exits: n + b n = c n is not much less than 2 It turns out that when optimizations are enabled, several compilers (LLVM/Clang 2.7, Open64-x86 4.2.3, Sun CC 5.10, and Intel CC 11.1.072) go ahead and permit this loop to terminate.  Specifically, when the loop is enclosed in a function, the compilers emit x86 assembly which looks something like this: fermat:   ret the Wind River Diab C compiler, and several versions of GCC all did the right thing, changing the termination properties of none of the examples I tried. Update from Sat 5/1: It turns out the LLVM folks have been working on this problem lately and their latest SVN now does not contain this bug.  Very nice! Update from Sat 5/1: Someone on Reddit noticed (and one of my students confirmed) that the Microsoft compilers do have termination bugs.  The compilers in both Visual Studio 2008 and 2010 generate code for the Fermat function, but then calls to this function are dropped because it is believed to be free of side effects (this was exactly what LLVM did before they fixed the problem). Update from Friday 4/30 Q: Does this actually matter at all?

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