How to use Log in Modular Arithmetic: Intro to Indices @MuPrimeMath
How to use Log in Modular Arithmetic: Intro to Indices  @MuPrimeMath
Uploaded September 2020 | Updated September 2026, 1 week ago
Proof that all powers of primitive roots are incongruent: youtu.be/TfZ9nPfOhQ0

The index of a number relative to a primitive root mod p is useful when considering things like quadratic residues. Here we define the idea of an index and give some basic properties and examples.

Quadratic Residues playlist: youtube.com/playlist?list=PLug5ZIRrShJGJieICD2KnqU9cRioaEBjB

0:00 Definition
1:04 log notation
2:17 Index of a product
4:51 Index of a power
5:57 Examples

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Music: OcularNebula - The Lopez
How to use Log in Modular Arithmetic: Intro to IndicesTopology Definitions: Closure, Boundary, InteriorProof: Every Prime has a Primitive RootQuadratic Reciprocity using Gausss LemmaWhy Are Odd Numbers Not Even?Surjections and Bijections, and why they are useful.3: Complex Roots - Dissecting Differential EquationsEpsilon-Delta proofs: Cant we make the limit equal anything?Integral with some Very Big PowersComplex Finite/Infinite Product ExampleFunctions as Sums of ExponentialsCayleys Theorem Explanation: Every Group is a Permutation Group
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How to use "Log" in Modular Arithmetic: Intro to Indices

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