Basic Number Theory: Quadratic Reciprocity

Which maths theorem do you think has the most proofs? Pythagoras theorem 📐? or maybe the fundamental theorem of arithmetic 🧮? The real winner is the famous "law of quadratic reciprocity" from number theory, which has over 240 different proofs! 💪

Gauss called it the "golden theorem" of number theory ✨✨.

In this talk for the Malta Mathematical Society, Luke Collins explains modular arithmetic and motivates the notion of quadratic reciprocity.