ANSWER

Answer


 xn + yn + wn = zn 

 where n is bigger than 2, is it possible to find a solution ? 

YES, Naom Elkies of Harvard University 
  discovered the following example in 1988. 

2,682,4404 + 15,365,6394 + 18,796,7604 = 20,615,6734 


From: Simon Singh, Fermat's Enigma, Anchor Books Inc., 1997, p. 159.