Loyola University Chicago

Mathematics and Statistics

MATH 201: Elementary Number Theory

Credit Hours



MATH 161


This course serves primarily as an introduction to understanding and constructing proofs for students planning to take advanced 300-level courses in mathematics. Topics include: mathematical induction, the Euclidean algorithm, congruences, Wilson's theorem, Fermat's little theorem, Euler's phi function, prime numbers, Mersenne primes, and quadratic reciprocity. As time permits, additional topics may include: applications to cryptography, Pell's equation, diophantine approximation, primality testing, Carmichael numbers, Gaussian integers, continued fractions, algebraic numbers, and transcendental numbers.