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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 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 little theorem. Proofs of Fermat's little theorem; Fermat quotient; Euler's totient function. ... This page was last edited on 21 December 2024, at 19:59 (UTC).
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.
Fermat's Last Theorem was conjectured by Pierre de Fermat in the 1600s, states the impossibility of finding solutions in positive integers for the equation + = with >. Fermat himself gave a proof for the n = 4 case using his technique of infinite descent , and other special cases were subsequently proved, but the general case was not proven ...
Fenchel–Moreau theorem (mathematical analysis) Fermat's Last Theorem (number theory) Fermat's little theorem (number theory) Fermat's theorem on sums of two squares (number theory) Fermat's theorem (stationary points) (real analysis) Fermat polygonal number theorem (number theory) Fernique's theorem (measure theory)
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 ...