Introduction to number theory (Berkeley Math 115) - Introduction to number theory lecture 2: Survey.

This lecture is part of my Berkeley math 115 course "Introduction to number theory" We continue the survey of some problems in number theory, and discuss congruences, quadratic reciprocity, additive number theory, recreational number theory, and partitions. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).