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It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers.
I have discovered a truly marvelous proof of this, which these five times hundred characters allotted are too few to contain.
@szbalint I like the feeling that toots are marginalia. (Which the web interface style seems to encourage.) Maddening annotation has driven so much in the world, it seems worth encouraging.
@szbalint You're the instance god, 500 character limit has got nothing on you 😀