Fermat's Last Theorem says that the equation
x^n + y^n = z^nhas no integer solutions for n>2 and x,y,z!=0.
On a Simpsons episode, they show an equation in the background that implies Fermat's last theorem is wrong:
1782^12 + 1841^12 = 1922^12It turns out it's almost wrong, but you need really big integers to tell.
(+ (expt 1782 12) (expt 1841 12)) 2541210258614589176288669958142428526657 (expt 1922 12) 2541210259314801410819278649643651567616