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Congruences in NUmber THeory

  1. Sep 14, 2013 #1
    What the best way to introduce congruences in a number theory course? I am looking for something which will have an impact. What are the really interesting applications of congruent mathematics?
  2. jcsd
  3. Sep 15, 2013 #2
    Encryption. Both RSA and elliptic curve cryptology both use modular arithmetic. If you want it to be interesting, ask your students to google a treasure map in RSA and have them solve it. The modular arithmetic is a bit tough though and would require you give them some background and some sample problems before tackling the treasure map.
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