Fermat's Last Theorem

17th-century conjecture proved by Andrew Wiles in 1994

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that there are no positive integers a , b , c , n {\displaystyle a,b,c,n} with n > 2 {\displaystyle n>2} such that a n + b n = c n {\displaystyle a^{n}+b^{n}=c^{n}} . The cases n = 1 {\displaystyle n=1} and n = 2 {\displaystyle n=2} have been known since antiquity to have infinitely many solutions. The proposition was first stated as a theorem by Pierre de Fermat around 1637 in the margin of a copy of Arithmetica.

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