Primes and open problems in number theory

These are my lectures on primes and open problems in number theory, read for grade 11/12 students at Math Circles (University of Waterloo).

Lecture 1 (February 7th, 2018)

Prime Numbers, Euclid’s Theorem, The Fundamental Theorem of Arithmetic, Prime Number Theorem (slides and solutions)

Lecture 2 (February 14th, 2018)

Twin Prime Conjecture, The First Hardy-Littlewood Conjecture, Large Gaps Between Primes (slides and solutions)

Note: More interesting videos, slides, exercises and solutions from Math Circles can be found here.