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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.
Fermat's Last Theorem, formulated in 1637, states that no three positive integers a, b, and c can satisfy the equation + = if n is an integer greater than two (n > 2).. Over time, this simple assertion became one of the most famous unproved claims in mathematics.
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation a n + b n = c n for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions. [1]
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.
Horizon continues to be broadcast on BBC Two, and in 2009 added a series of films based on the rich Horizon archive, called Horizon Guides, on BBC Four. In December 2016, it was announced that Horizon would no longer be made exclusively by the BBC's in-house production division, BBC Studios , and the BBC invited independent production companies ...
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 ...
The works of the 17th-century mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer solutions to a n + b n = c n; Fermat's little theorem, a property of prime numbers; Fermat's theorem on sums of two squares, about primes expressible as a sum of ...