1. These were some difficult concepts to grasp. First of all, in section 3.5, the book used a giant pi to notate something. I don't know what that something is so it was hard to follow any results or proofs of results that used it. I don't think I'd have any problem using the theorems shown, but I don't feel completely confident in my understanding of the proofs of them.
2. I was just thinking to myself the other day, "self, I wonder if there is a way to count the number of integers which are relatively prime to a given number." Research in number theory would be fun and pretty interesting because it would be exciting to come up with questions like the one I was thinking about and try to work with them.
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