$a^n + b^n = c^n$, for any integer value of n greater than two where a,b,c are positive integers.
Since this is too hard for me to solve, I tried to change the question a little. I believe Fermat put the rule "for any integer value of n greater than two" because the question would have solutions where n is any number. But even then with n being any number (except 1 and 2) I couldn't imagine of a solution. So I will ask it here if anyone knows to solve it. But if there arent any solutions that anyone knows of why did Fermat state and believe that it only has no solutions when n is an integar greater than 2.
So here is my question :
Is there solutions to $a^n + b^n = c^n$, where n is any value (positive or negative) but not 1 or 2 and a,b,c are positive integers