MAT 613: Theory of Numbers.
4 hours, 4 credits. Euclid's algorithm and the fundamental theorems on divisibility; prime numbers and congruences; the theorems of Fermat, Euler, and Wilson; quadratic residues and reciprocity law, algebraic numbers, Pythagorian triples, other diophantine equations, Fermat's Last Theorem, Pell's equation and continued fractions, the distribution of prime numbers, and advanced topics. PREREQ: Three semesters of calculus or a course in Modern Algebra.
Last modified: 3/11/2014