# Number Theory

A careful study of major topics in elementary number theory, including divisibility, factorization, prime numbers, perfect numbers, congruences, Diophantine equations and primitive roots. Meets the Critical Perspectives: Quantitative Reasoning requirement. Meets the Critical Learning: FRL requirement.

*Prerequisite:* Mathematics 129 or Mathematics 204 or 2 credits of college level calculus with consent of instructor.

Degree requirement — Critical Learning: FRL, Critical Perspectives: Q

1 unit — Agrawal, Garcia Puente

## Featured Offering

The course concentrates on surprising and beautiful results about the integers . . . -2, -1, 0, 1, 2, 3, … . Euclid in ancient Greece first proved that each integer greater than 1 can be factored uniquely into primes, integers that cannot be further factored. Euclid also proved that there are infinitely many primes, which is only the beginning of the many profound questions about the primes (2, 3, 5, 7, 11, ...) that have still not been answered, despite the antiquity of the subject. For example, are there infinitely many Twin Primes, like 3 and 5, 5 and 7, 11 and 13, 17 and 19 and so?

Interestingly, many modern methods of cryptography are constructed using the methods learned in MA251. Number theory is not only elegant and beautiful, but applicable too!

## Offerings

Term | Block | Title | Instructor | Location | Student Limit/Available | Updated |
---|---|---|---|---|---|---|

Fall 2021 | Block 1 | Number Theory | Luis David Garcia Puente | Tutt Science Building 229 | 25 / 5 | 09/23/2021 |

Spring 2022 | Block 5 | Number Theory | Shishir Agrawal | TBA | 25 / 25 | 09/23/2021 |