Here, as much for my convenience as anyone else's, is a list of the theorems that have appeared here, with links. Bézout's theorem The intermediate value theorem Vinogradov's three primes theorem Van der Waerden's theorem The square root of 2 is irrational The binomial theorem The Banach-Tarski paradox Eulerian circuits Bachet's duplication formula Lagrange's theorem…
Relax. Until recently, lurking in the dark recesses of mathematical existence, there might have been a really weird sphere of 254 dimensions, or 510, or 1,026. In fact, for all you knew, you might have had to worry about weird spheres when visiting any space with numbers of dimensions of the type 2k - 2.