...or did he...
javascript:lside=Math.pow(1782,12)+Math.pow(1841,12);rside=Math.pow(1922,12); alert( lside + "\n" + rside )(ditto for another Simpsons episode, allegedly proving 3987^12 + 4365^12 = 4472^12 ; try it yourself:
javascript:lside=Math.pow(3987,12)+Math.pow(4365,12);rside=Math.pow(4472,12); alert( lside + "\n" + rside ))
http://www.youtube.com/watch?v=ReOQ300AcSU#t=6m12s
...David X Cohen and his maths buddies on staff = nerdiest joke ever!
(watch the whole 8 minute video, it's fascinating stuff -- presuming you find the subject of pop culture reference to cool math stuff)
also, fun with comment trolling, apparently: http://www.techdirt.com/articles/20051216/1224256.shtml
Other PCRs for F's LT @ Wiki (http://en.wikipedia.org/wiki/Fermat's_Last_Theorem_in_fiction)
Spoiler
Funny that both fake proofs in the Simpsons episodes used *12* for the power, ain't it? Considering the topic of the first video ITT? Spooky...