3.3--pg 110, due October25

The first part of the reading was a little bit mind blowing. It was weird to look at it as there being 0 primes as x goes to infinity because it shows how spread about the primes get close to infinity. I think that the Dirichlet series mostly make sense although I'm not sure if I understand the underlying concept behind this proof. I mostly get that we're assuming we have finitely many primes congruent to b mod a and then we build a series around that which converges and then show that series diverges. I think I'm not quite getting the part how we build these series. With the Dirichlet characters, I am still trying to figure out what exactly that is and then what we are doing with it. I'm not sure if their notation is confusing or if I'm just looking for more than what is there to be found.