I am an undergrad student and have a deep interest in number theory and now I am learning analytic number theory own for 3-4 months. I have also covered group theory. I want to work on research problems in Number theory. Unfortunately in my institute there is no Prof who works on Number theory.
Is there research problems that can be attacked by an undergraduate(may be part of an open problems) with a good background in Number theory?
I have checked this answer, but in my country there are very few institutes working on Number theory and they are not accepting interns. I have to work on my own.