CanadaPlus@lemmy.sdf.org to math@lemmy.sdf.org · edit-211 months agoIs there an interesting set of natural numbers defined by a number-theoretic property that is finite?message-squaremessage-square16fedilinkarrow-up110arrow-down11
arrow-up19arrow-down1message-squareIs there an interesting set of natural numbers defined by a number-theoretic property that is finite?CanadaPlus@lemmy.sdf.org to math@lemmy.sdf.org · edit-211 months agomessage-square16fedilink
minus-squareCanadaPlus@lemmy.sdf.orgOPlinkfedilinkarrow-up2arrow-down3·edit-211 months agoWell, yes, obviously. I was hoping for something number-theoretic, though. Let me reword the title.
minus-squarezipsglacier@lemmy.worldlinkfedilinkarrow-up2·11 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-squareCanadaPlus@lemmy.sdf.orgOPlinkfedilinkarrow-up2·11 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!