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.

Richard E Borcherds
4.7K views • Feb 2, 2021

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
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
Video Information
Views
4.7K
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129
Duration
31:55
Published
Feb 2, 2021
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4.6
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