I came across an interesting phenomenon recently, and that's using algebra techniques to prove interesting number theory facts. For instance, here are couple of examples. In the first one, p is a prime.
These actually come as consequences of using a theorem in group theory called Lagrange's Theorem, and in a nice way.
Do people have thoughts on different ways to prove these instead? Or, do people have ideas on other number theory facts that can be proved in interesting, non-number theoretic ways?
Mohamed Omar
I came across an interesting phenomenon recently, and that's using algebra techniques to prove interesting number theory facts. For instance, here are couple of examples. In the first one, p is a prime.
These actually come as consequences of using a theorem in group theory called Lagrange's Theorem, and in a nice way.
Do people have thoughts on different ways to prove these instead? Or, do people have ideas on other number theory facts that can be proved in interesting, non-number theoretic ways?
4 years ago (edited) | [YT] | 46