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Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a n + b n = c n for any integer value of n greater than 2. (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b.
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. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be impossible to prove using previous ...
In 1847, Gabriel Lamé outlined a proof of Fermat's Last Theorem based on factoring the equation x p + y p = z p in complex numbers, specifically the cyclotomic field based on the roots of the number 1. His proof failed, however, because it assumed incorrectly that such complex numbers can be factored uniquely into primes, similar to integers.
Wiles was interviewed for an episode of the BBC documentary series Horizon [27] about Fermat's Last Theorem. This was broadcast as an episode of the PBS science television series Nova with the title "The Proof". [10] His work and life are also described in great detail in Simon Singh's popular book Fermat's Last Theorem.
The documentary was originally transmitted in January 1996 as an edition of the BBC Horizon series. It was also aired in America as part of the NOVA series. The Proof, as it was re-titled, was nominated for an Emmy Award. The story of this celebrated mathematical problem was also the subject of Singh's first book, Fermat's Last Theorem.
Proof of Fermat's Last Theorem for specific exponents Topics referred to by the same term This disambiguation page lists mathematics articles associated with the same title.
Fermat's last theorem Fermat's last theorem, one of the most famous and difficult to prove theorems in number theory, states that for any integer n > 2, the equation a n + b n = c n has no positive integer solutions. Fermat's little theorem Fermat's little theorem field extension A field extension L/K is a pair of fields K and L such that K is ...
Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that: It states that: a n + b n = c n {\displaystyle a^{n}+b^{n}=c^{n}} has no solutions in non-zero integers a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} when n {\displaystyle n} is an integer greater than 2.