• Thumbnail for Wiles's proof of Fermat's Last Theorem
    Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves...
    58 KB (5,813 words) - 08:05, 2 May 2025
  • Proof of Fermat's last theorem may refer to: Wiles's proof of Fermat's Last Theorem Proof of Fermat's Last Theorem for specific exponents This disambiguation...
    224 bytes (54 words) - 22:57, 12 January 2014
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...
    104 KB (11,739 words) - 07:16, 3 May 2025
  • Fermat's Last Theorem is a popular science book (1997) by Simon Singh. It tells the story of the search for a proof of Fermat's Last Theorem, first conjectured...
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  • Thumbnail for Andrew Wiles
    work on Fermat's Last Theorem, Wiles set out to prove the modularity theorem for semistable elliptic curves, which implied Fermat's Last Theorem. By 1993...
    32 KB (3,076 words) - 09:24, 2 June 2025
  • modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of papers by Wiles's former students...
    19 KB (2,359 words) - 13:09, 2 June 2025
  • areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a...
    102 KB (10,101 words) - 16:23, 8 May 2025
  • Thumbnail for Theorem
    set of all theorems of a theory, although one cannot prove them individually. An exception is the original Wiles's proof of Fermat's Last Theorem, which...
    34 KB (4,409 words) - 00:49, 4 April 2025
  • the theorem. But not everyone was "satisfied" with Wiles's proof because it used twentieth century mathematical techniques not available in Fermat's time...
    28 KB (3,161 words) - 13:59, 12 April 2025
  • Thumbnail for Elliptic curve
    and constitute a major area of current research; for example, they were used in Andrew Wiles's proof of Fermat's Last Theorem. They also find applications...
    54 KB (8,433 words) - 17:05, 17 March 2025
  • Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995. The statement of...
    54 KB (5,155 words) - 13:31, 12 April 2025
  • Thumbnail for Infinity
    Infinity (redirect from History of infinity)
    nothing to do with them. For example, Wiles's proof of Fermat's Last Theorem implicitly relies on the existence of Grothendieck universes, very large infinite...
    54 KB (6,115 words) - 22:27, 1 June 2025
  • Thumbnail for Ken Ribet
    Ken Ribet (category Fermat's Last Theorem)
    Herbrand–Ribet theorem and Ribet's theorem, which were key ingredients in the proof of Fermat's Last Theorem, as well as for his service as President of the American...
    10 KB (871 words) - 23:49, 12 May 2025
  • Thumbnail for Barry Mazur
    Barry Mazur (category Members of the United States National Academy of Sciences)
    mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle...
    11 KB (922 words) - 05:57, 25 January 2025
  • according to this conjecture, Fermat's Last Theorem should have an elementary proof; Wiles's proof of Fermat's Last Theorem is not elementary. However,...
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  • Thumbnail for Pierre de Fermat
    his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus'...
    22 KB (2,384 words) - 19:57, 27 May 2025
  • as "Fermat's Last Theorem" has repeatedly received attention in fiction and popular culture. It was proved by Andrew Wiles in 1994. The theorem plays...
    11 KB (1,274 words) - 23:45, 26 August 2024
  • in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem. This...
    41 KB (5,688 words) - 11:41, 25 May 2025
  • applications to number theory, which include, in particular, Wiles's proof of Fermat's Last Theorem. In the complex plane a generalized circle is either a line...
    12 KB (1,703 words) - 11:09, 1 June 2025
  • Thumbnail for Fundamental theorem of arithmetic
    have been written during the 358 years between Fermat's statement and Wiles's proof. The fundamental theorem can be derived from Book VII, propositions 30...
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  • Fermat's Last Tango is a 2000 off-Broadway musical about the proof of Fermat's Last Theorem, written by husband and wife Joshua Rosenblum (music, lyrics)...
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  • Jean-Pierre Serre and proven by Ken Ribet. The proof was a significant step towards the proof of Fermat's Last Theorem (FLT). As shown by Serre and Ribet, the...
    12 KB (1,386 words) - 12:17, 8 August 2024
  • Hilbert's irreducibility theorem is used as a step in the Andrew Wiles proof of Fermat's Last Theorem. If a polynomial g ( x ) ∈ Z [ x ] {\displaystyle g(x)\in...
    4 KB (732 words) - 11:42, 20 August 2021
  • Marilyn vos Savant (category American people of Austrian descent)
    proved Fermat's Last Theorem, Savant published the book The World's Most Famous Math Problem (October 1993), which surveys the history of Fermat's Last Theorem...
    26 KB (3,151 words) - 20:26, 29 May 2025
  • Thumbnail for Gerhard Frey
    Gerhard Frey (category Academic staff of the University of Erlangen-Nuremberg)
    solution to the Fermat equation, that is central to Wiles's proof of Fermat's Last Theorem. He studied mathematics and physics at the University of Tübingen...
    8 KB (619 words) - 12:36, 30 May 2025
  • Serre's modularity conjecture (category Theorems in number theory)
    Society, pp. 143–232, ISBN 978-0-8218-2173-2, MR 1860042 Wiles's proof of Fermat's Last Theorem Serre's Modularity Conjecture[usurped] 50 minute lecture...
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  • geometry with much of number theory, which eventually led to Wiles's proof of Fermat's Last Theorem. Schemes elaborate the fundamental idea that an algebraic...
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  • problems Thurston's 24 questions List of unsolved problems in mathematics Wiles's proof of Fermat's Last Theorem The reference to Hecke in Problem 12 was...
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  • Irreducible element (category Algebraic properties of elements)
    proofs of Fermat's Last Theorem that were given during the three centuries between Fermat's statement and Wiles's proof of Fermat's Last Theorem. If R {\displaystyle...
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  • Actual infinity (category Philosophy of mathematics)
    350 years later. The original Wiles's proof of Fermat's Last Theorem, used not only the full power of ZF with the axiom of choice, but used implicitly a...
    19 KB (2,607 words) - 14:32, 23 May 2025