As the title suggests, I am looking for a topic to do my senior thesis on. It doesn't have to be original work, but it does have to be rather math intensive. Also, I have to do it on a topic in Number Theory for reasons beyond my control. I have the typical senior level background(e.g. Modern Algebra, Topology, Complex and Real Analysis, etc.) and I have also taken a class in Number Theory. I have done a research paper in the past(for a different mathematics course) on the Collatz Conjecture, but I really don't want to try to write a 15-20 page paper on that(which is the relative length required of my thesis). I would greatly appreciate any input anyone can offer on the matter, as I really want to do my thesis on a subject which I find beautiful and interesting. Thanks!