I proved a theorem in number theory last week.
Don’t get me wrong; the theorem is fairly useless. The proof itself is trivial. But the fact that I came up with the proof, in my head, makes me proud…mostly because I’m a physicist, not a mathematician.
Here is the theorem:
Square any odd integer greater than 1, and then subtract 1. The result is evenly divisible by 4.
I’ll leave the proof to you, for fun. Do it in your head!
This is what theoretical physicists daydream about on 7 hour car rides.