Since my education I've done quite untraditional things. There are very few Etonians who went to Rada. And far fewer Etonians - certainly when I was there - went to Cambridge. I don't know whether it's the same now. Most people I knew went to Oxford because it seemed more of an easy bridge.
It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.