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submitted 1 year ago* (last edited 1 year ago) by CanadaPlus to c/math
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[-] zipsglacier@lemmy.world 5 points 1 year ago

There are tons of them! For example, the class of numbers n such that there is a Platonic solid made of n-gons. This class only has the numbers 3, 4, and 5. You can get other examples any time there is an interesting mathematical structure with only finitely many examples.

[-] CanadaPlus -2 points 1 year ago* (last edited 1 year ago)

Well, yes, obviously. I was hoping for something number-theoretic, though. Let me reword the title.

[-] zipsglacier@lemmy.world 2 points 1 year ago

Haha, ok, how about numbers n such that there are nontrivial solutions to a^n + b^n = c^n

My point is that interesting (non-)existence results give examples of the type I thought you were asking for.

[-] CanadaPlus 2 points 1 year ago

Oh yeah, Fermat's Last Theorem. I bet I would have thought of that right away if I was a bit older. The Wiefrich primes came up elsewhere here, and they have a kind of similar background.

Thanks for the answers!

this post was submitted on 18 Aug 2023
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