Divisibility, fundamental theorem of arithmetic, Fermat's theorem, congruences, Euler's formula, prime numbers, Euler's phi-function, counting primes, powers and roots mod m, quadratic reciprocity theorem, Diophantine approximation, Pell's theorem.
Prereq: Both 5101 (602) and 4581 (582); or Grad standing. Not open to students with credit for 683.