Posted by: holdenlee | October 18, 2010

## Distribution of Primes

These are the notes for the 18.784 (Number Theory Seminar) presentation I’m giving today. We prove estimates on prime-counting functions using elementary methods; in particular, that $\pi(x)$, the number of primes less than or equal to $x$, grows “like” $\frac{x}{\ln(x)}$ up to a constant multiple.