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A comment on Only one pair of integers satisfy the equation m^n = n^m. Parent comment

Re:Only one pair of integers satisfy the equation m^n = n^m by eru on Thursday April 20, 2023 @01:31AM (#35636744)
Maybe. I do appreciate seeing both approaches, though.
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Re:Only one pair of integers satisfy the equation m^n = n^m by frodetb on Thursday April 20, 2023 @01:48AM (#35636825)
Agreed! I'm realizing that my comment came across as negative, but I did appreciate seeing a second path to the same place. I also agree that the expression x^(1/x) feels like a more natural place to start.

You often see this I think, in "pretty" proofs compared with the more direct approach. A clever early step or some bit of startling insight.

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