Three Four Three

I had found something for the number 343. Well, it can be expressed in terms of just 5's and 2's. Finally got a space to put my equation :) I was thrilled about this ...

(5-2)^5 + (5*2)^2 = (5+2)^(5-2)

i.e.,

343 = 3^5 + 7^3

until I confronted Friedman's number theory.... 343 = (3 + 4)^3 :(

But my theorem still holds good eh :D