Where were you when you realised 3^3 + 4^3 + 5^3 = 6^3 ?

@waxwing neat! Is there some generalized mathematical proof behind this?

@htimsxela not that I know of, although I wouldn't be surprised if there's an imaginative slant on it. Vaguely related thoughts: Fermat's last theorem says you *can't* do this for powers of 3 or higher with only two terms on the left; also there is the very beautiful formula that (sum of n^3) = (sum of n)^2 ... (but only for sums starting at 1) that one's beautiful but less mysterious.

basically i think this is mostly just one of those accidents.

At my home-office a short moment ago. 46 yo. Had I known this earlier, my life would have taken completely different directions.

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