Exploratory problems

Examination

Integers, Divisors and the Division Algorithm, Greatest Common Divisor and the Euclidean Algorithm, Prime Numbers and Unique Factorization, Modular Arithmetic, Linear Congruences and the Chinese Remainder Theorem, Quadratic Reciprocity, Cryptography.

Experimental Number Theory - 6111MATHS

Experimental Number Theory

Apply different types of proof in the context of number theory.

Implement some applications of number theory.

Undertake the experimental underpinning of number theory: collecting and working with data, conjecturing, and formalizing statements.