◦Which topics and theorems do you think are the most important out of those we have studied?
I think those that deal with congruence and facts learned about Z_p would be the most important. This would include subjects such as the number of integers relatively prime to some given n, whether a given number is quadratic residue, etc...
◦What kinds of questions do you expect to see on the exam?
Some application, maybe say solving Jacobi numbers, or solving for x in some large polynomial in Z_[some composite]. Also to write out proofs that are similar to the ones we have done in class/homework. Maybe more proofs of the infinitude of primes.
◦ What do you need to work on understanding better before the exam?
I just need more practice seeing and working the more important proofs. I understand them, but I am not sure I could reproduce them on demand.
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