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.
“A budget tells us what we can't afford, but it doesn't keep us from buying it.”
“It is true, there are many bad people; there are more of them than in the past, but that is because there are more people, meaning the population has tripled; there must be three times more bad people.”