User:Timothy Clemans/Fermat's Last Theorem/A

Draft A is the structure of my ideas for the article on Fermat's Last Theorem that I will use in later drafts and I believe that I have completed this draft. If you see a typo or other error please contact me soon. Timothy Clemans 07:49, 25 July 2006 (UTC)

Edit "remove superscript of 17th century and wikilink it per Wikipedia:Manual of Style (dates and numbers) and add heading for supposed solutions" made after note written. Timothy Clemans 08:01, 25 July 2006 (UTC)

See Draft B


In number theory, Fermat's Last Theorem is the most celebrated of the deceptively simple problems (see Number Theory as Gadfly). It is an assertion about the family of Diophantine equations that states if n is greater than two, then there are no solutions to the equation an + bn = cn (Fermat equation) in non-zero integers a, b, and c. The first statement of Femat's Last Theorem was by the 17th century French mathematician and jurist, Pierre de Fermat, in the form of a marginal note to himself that he made in his copy of Diophantus' Arithmetica where he was inspired by Pythagorean triples. There have been many key developments that lead to a proof by Andrew Wiles with assistance from Richard Taylor in October of 1994 (see Modular elliptic curves and Fermat's Last Theorem).

Primary analysis edit

Applications and Motivation edit

Implications of other theorem and conjectures edit

Shimura-Taniyama theorem edit

Serre's conjecture in generality edit

abc conjecture edit

Prehistory edit

Work of Pierre de Fermat edit

Work of Leonhard Euler edit

Work of Gustav Petter Lejeune Dirichlet and Adrien Marie Legendre edit

Work of Gabriel Lamé edit

History edit

Work of Sophie Germain edit

Work of Ernst Eduard Kummer edit

Work of Arthur Wieferich edit

Work of Gerd Faltings edit

Work of Barry Mazur edit

Work of Gerhard Frey edit

Work of Jean-Pierre Serre edit

Work of Ken Ribet edit

Work of Andrew Wiles edit

Celebrations edit

Supposed solutions edit

Generalizations edit

Work of Viggo Brun edit

Prizes edit

French Academy of Sciences prize edit

Paris Academy prize edit

Wolfskehl prize edit

Beal prize problem edit

Popular culture edit

See also edit

References edit

Further reading edit

External links edit