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goosethe@lemmy.sdf.org

Is there an interesting set of natural numbers defined by a number-theoretic property that is finite? (lemmy.sdf.org)

submitted 1 year ago* (last edited 1 year ago) by CanadaPlus@lemmy.sdf.org to c/math@lemmy.sdf.org

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[–] CanadaPlus@lemmy.sdf.org 0 points 1 year ago* (last edited 1 year ago) (1 children)

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

[–] zipsglacier@lemmy.world 2 points 1 year ago (1 children)

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@lemmy.sdf.org 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!