I've been distracting myself from personal problems by playing around with FLT. Being hardheaded I've both refused to accept that I'm trying the impossible, and have continuously made posts that I had found something only to find out later that I'd made some simple error. But I'm still hardheaded so I keep posting...but no more claims to its worth.
I finally convinced myself that my previous methods weren't going to lead to what I wanted, but because of them I started playing with something else:
(x+y-z)^n with x,y,z relatively prime, n odd prime;
because it held all of the information and was interesting besides.
For instance, if x^3 + y^3 = z^3 then (x+y-z)^3 = 3(z-x)(z-y)(x+y)
which is undoubtably trivial to you but interesting to me.