Introduction to number theory lecture 42. Examples of indefinite binary quadratic forms.
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This lecture is part of my Berkeley math 115 course “Introduction to number theory”
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8
We study the indefinite binary quadratic forms of small discriminants 1, 4, 5, 8, and determine which primes are represented by them.
The textbook is “An introduction to the theory of numbers” by Niven, Zuckerman, and Montgomery (5th edition).