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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]
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 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, 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 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 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 ...
This includes Fermat's little theorem (generalised by Euler to non-prime moduli); the fact that = + if and only if ; initial work towards a proof that every integer is the sum of four squares (the first complete proof is by Joseph-Louis Lagrange (1770), soon improved by Euler himself [55]); the lack of non-zero integer solutions to ...
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)