Theory of numbers: Congruences: Primitive roots @richarde.borcherds7998
Theory of numbers: Congruences: Primitive roots  @richarde.borcherds7998
Uploaded February 2021 | Updated September 2026, 2 weeks ago
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 youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
Theory of numbers: Congruences: Primitive rootsIntroduction to number theory lecture 34. Gauss sumsGalois theory: Examples of Galois extensionsIntroduction to number theory lecture 27. Groups and number theoryElliptic functions lecture 4. The sigma functionElliptic functions lecture 2Rings 13 Colimits and exactnessCategories 6 Monoidal categoriesRings 6 Prime and maximal idealsTheory of numbers:IntroductionRings 18 Hilberts theoremsLie groups: Lie groups and Lie algebras
Richard E Borcherds |

Theory of numbers: Congruences: Primitive roots

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