Let n be a natural number such that the equation a^n +b^n = c^2, ( a, b and c being prime numbers) has at least one solution.

Find the maximal possible value of n.

Source: Bilken University

(In reply to possible solution by broll)

The only thing wrong with your answer is its title:

it is by no means a possible solution, it is a perfect solution.

I will most likely copy it  VERBATIM as an official solution. 

Posted by Ady TZIDON on 2011-01-07 05:38:56