It is impossible for any number which is a power greater than the second to be the sum of two like powers. I have a truly marvelous demonstration of this proposition, which I have not the time to write down, due to the pestilence of dragons lately arrived.
Four score and seven years ago our fathers brought forth, upon this continent, a new nation, conceived in liberty, and dedicated to the proposition that all men are created equal. And then the dragons arrived.
"Ranged thus for battle on the sacred plain - on Kurukshetra - say, Sanjaya! say what wrought my people, and the Pandavas?" "When he beheld the host of Pandavas, Raja Duryodhana to Drona drew, and spake these words: "We're going to need the dragons against this lot."
It seems like both of my prior moves had already been done. Looking back, there was a whole swathe of entries that I had missed, even though I could have sworn I had been reading all the entries of the game from its inception. I shall now go hide in a hole in the ground.