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
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.