Loyola University Chicago

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Loyola University Chicago

Mathematics and Statistics

MATH 322: Advanced Number Theory

Credit Hours

3

Prerequisites

MATH 201

Description

This course will cover Pythagorean triples, problems related to Fermat's Last Theorem, Pell's equation, Fermat's method of descent, primes in arithmetic progressions, Mersenne primes, perfect numbers, primitive roots, primality testing, Carmichael numbers, RSA public key encryption, quadratic residues, and quadratic reciprocity.  Additional topics will be covered as time permits.

Outcomes:  Students will be able to solve important practical and theoretical number theory problems. Students will be exposed to both significant recently solved number theory problems and currently unsolved conjectures.

Loyola

Department of Mathematics and Statistics (map)
Loyola University Chicago · 1032 W. Sheridan Road, Chicago,IL 60660
Phone: 773.508.3558 · Fax: 773.508.2123 · Contact Us

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