Theory of Numbers: Congruences and Primitive Roots

This lecture introduces primitive roots within the theory of numbers and demonstrates that every prime number possesses primitive roots.

Theory of Numbers: Congruences and Primitive Roots
Richard E Borcherds
4.7K views • Feb 2, 2021
Theory of Numbers: Congruences and Primitive Roots

About this video

This lecture is part of an online undergraduate course on the theory of numbers.

We define primitive roots, and show that all primes have primitive roots.


Correction: At 16:00 two of the square roots of 1 should be (2^k)/2 +1, (2^k)/2-1, not 2^k/2, -2^k/2.

For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H

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Views

4.7K

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Duration

31:55

Published

Feb 2, 2021

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