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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]
Weisstein, Eric W. "Fermat's Last Theorem". MathWorld. O'Connor, John J.; Robertson, Edmund F. (1996), Fermat's last theorem, MacTutor History of Mathematical Topics, archived from the original on 2013-01-16 University of St Andrews. "The Proof". PBS. The title of one edition of the PBS television series NOVA, discusses Andrew Wiles's effort to ...
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.
He bequeathed 100,000 marks (equivalent to €720,000 in 2023) to the first person to prove Fermat's Last Theorem. [1] He was the younger of two sons of a banker, Joseph Carl Theodor Wolfskehl. His elder brother, the jurist Wilhelm Otto Wolfskehl, took over the family bank after the death of his father.
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 ...
Dickson later used Germain's theorem to prove the first case of Fermat's Last Theorem for all odd primes less than 1700. [ 40 ] In an unpublished manuscript titled Remarque sur l'impossibilité de satisfaire en nombres entiers a l'équation x p + y p = z p , [ 38 ] Germain showed that any counterexamples to Fermat's theorem for p > 5 must be ...
Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal and for which he was appointed a Knight Commander of the Order of the British Empire in 2000. [1]
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 by Pierre de Fermat in 1637, and explores how many mathematicians such as Évariste Galois had tried and failed to provide a proof for the theorem.