@CanadaPlus to math • edit-210 months agoIs there an interesting set of natural numbers defined by a number-theoretic property that is finite?message-square16arrow-up110arrow-down11
arrow-up19arrow-down1message-squareIs there an interesting set of natural numbers defined by a number-theoretic property that is finite?@CanadaPlus to math • edit-210 months agomessage-square16
minus-square@CanadaPlusOPlink-1•edit-210 months agoWell, yes, obviously. I was hoping for something number-theoretic, though. Let me reword the title.
minus-square@zipsglacier@lemmy.worldlinkfedilink2•10 months agoHaha, 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.
minus-square@CanadaPlusOPlink2•10 months agoOh 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!
Well, yes, obviously. I was hoping for something number-theoretic, though. Let me reword the title.
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.
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!