Fermat's Last Theorem
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.