Loyola University Chicago

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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.


Department of Mathematics and Statistics (map)
Loyola University Chicago · 1032 W. Sheridan Road, Chicago,IL 60660
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