## Exploring arithmetic densities

**Goal:**

A basic result in analytic number theory states that the `likelihood' for
an integer to be squarefree is 6/pi^2, i.e. roughly 61%.

The aim of this project is to explore this and similar situations and to
illustrate them.

**Schedule:** To be determined.

**Supervisors:**
Gabor Wiese, Alexander Rahm

**Difficulty level:**
EML 1,2 or 3.

**Tools:**
Any computer language.

**Literature:**

- Bateman, Diamond: Analytic Number Theory, an introductory course, World
Scientific

**Results:**
[to be completed at the end of the project.]