Earlier quoted context omitted.
It's completely arrogant to assume that because it hasn't been solved by "better" people that I couldn't solve it.
OK, so I'm taking it from your comment that you really do believe this constitutes a proof. Thanks for the reply.
I see it more like walking away knowing that I have checkmate whether the other person can see it or not. If you pay attention to the conditions that must necessarily exist, like the that the difference between two whole squares can be represented as EITHER an integer base taken to a power higher than two, or the sum of a series of consecutive odd numbers, the number of terms equaling the original base number of the higher power equation.