If your team is able to come up with a topic on your own, that's great! Send me an email and I'll make sure that you "reserve" your topic. Project topics will be assigned on a "first come, first served" basis, so make sure you email me with your topic request as soon as your team makes a decision. I'm very happy to talk with you about what kinds of things you might present for the topic that you select, so please don't be shy about asking me for help in deciding what topics would be reasonable to cover. Remember: this is supposed to be fun, so spend some time exploring and looking for neat stuff.

Proposed Topics

  • Phil and Tim - Sums of Squares (12/05/08)
  • Josh and Chip - Irrationality of $\pi$ (11/17/08)
  • Jen and Dan - Pell's Equation (12/03/08)
  • Jane and JohnMark - Fermat's Last Theorem (11/21/08)
  • John, Mallory and Mike - Amicable Pairs, Perfect Numbers and other "classical" numbers (11/14/08)
  • Efrain and Dan - Pythagorean Triples (12/01/08)
  • Greg and Anna - Know/Don't Know Problems (12/08/08)
  • Tom and Chi - Fibonacci Numbers (11/19/08)

Suggested Topics

  • Fermat's Last theorem
  • Riemann Zeta Function
  • Primality Testing
  • In depth study of amicable pairs, perfect numbers, and other related "classical" numbers
  • Covering Classes
  • Pell's Equation
  • Irrationality of Pi
  • Pythagorean Triples
  • Fermat Primes
  • Distribution of Primes
  • Additive Number Theory
  • Ramanujan, Hardy and Littlewood
  • Biopic of Euler
  • Biopic of Gauss
  • Goldbach's Conjecture
  • Integers as sums of squares (Fermat's two square theorem, Lagrange's four square theorem, the 15 theorem)
  • Jacobi's four square theorem
  • Gauss Circle Problem
  • Merten's Conjecture
  • Continued Fractions
  • Fibonacci Numbers
  • Problems from the "Concluding Remarks" section of any chapter in Strayer
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