Some solves/partial progress.

Part of a 3-part series on Analytic NT. Part II is about complex analysis. The next part is here.

Part of a 3-part series on Analytic NT. Part I is about the $\zeta$-function and Dirichlet’s theorem. The next part is here.

Analytic NT, as its name implies, is all about what analysis can tell us about numbers. A central question it tries to answer is

How many prime numbers are there between 1 to $N$ (inclusive)?

Context: this was left on the cutting floor for my Algebra (intersects) Geometry session handout. Mostly an amalgamation of shower thoughts.

Context: more stuff left on the cutting floor for my Algebra (intersects) Geometry session handout.