the rest of section 4.2, due November 8

On theorem 4.2.4, I need some help with the notation and understand what it's saying. I think that Bertrand's theorem is telling us something really awesome about primes and how their density is related to where in the natural numbers we are looking (really big numbers or pretty small numbers). I think it'll be cool to talk more about the consequences/interpretations of this theorem in class. Or maybe I'm just reading too much into it.