You will need to learn some complex analysis which is very beautiful. Ash has a very good chapter on the Prime Number Theorem as a reward for learning complex v

You will need to learn some complex analysis which is very beautiful. Ash has a very good chapter on the Prime Number Theorem as a reward for learning complex variables: https://faculty.math.illinois.edu/~r-ash/CV.html https://faculty.math.illinois.edu/~r-ash/CV.html You don't need to learn the whole book just some knowledge of contour integral and analytic continuation is sufficient to understand the proof. So you could just start with the last chapter and fill the gaps as you go. (If you go linearly through the book you will encounter things like the normal family not required for your stated goal. Even though the normal family stuff are even more beautifully amazing IMHO the presentation here may be too abstract to grok and could discourage one to soldier on.)