1. I feel the most important topic that we have studied so far is the RSA algorithm, as that is what is most commonly used today. It is also good to know the conceptual ideas behind why it works so well and how it is a secure system, as knowing these concepts will help us to be better crypto-thinkers.
2. I expect to see a good deal of computational questions along with questions dealing with systems like RSA and ElGamal, along with discrete logarithms potentially. Really, though, there is just so much to choose from!
3. Really, I feel that I just need to have a good review of everything since there is so much to remember. In particular, I think I need to focus on the Chinese Remainder theorem, primality and all theorems having to do with that, and all of the algorithms.
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