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In this video, we introduce modular congruence and show this is an equivalence relation. This is lecture 4 (part 4/4) of the lecture ...

introduction to number theory for public key crypto. Divisibility, factors, primes, relatively prime. Addition, subtraction, multiplication ...

A special equivalence relation is that of congruence on the integers. Meant to be watched before or after reading Chapter 17 of ...

In this video, Jitty introduces the modulo operation and explains how to calculate the modulus of positive and negative numbers.

Week 3-Lecture 12 : Arithmetic modulo n, more examples.

What IGNITES Us?”. What makes mathematicians and mathematics educators passionate? Join Anne Paoletti from the PCMI ...

Doing operations "mod m" is at the heart of many cryptographic applications. We look at what this means exactly and how some ...

See http://www-personal.umich.edu/~asnowden/teaching/2013/679/L13.html for notes.

We learn how to compute GCDs quickly using a 2300-year-old method. Then we see how to do a small "add-on" to also get the ...

Week 3-Lecture 11 : Arithmetic modulo n, theory and examples.

Abstract: How many primes are there which are less than x and congruent to a modulo q? This is one of the most important ...

A quick introduction to the integers modulo N. See https://jeremy9959.net/2021-Fall-3230-Math/notes/01-groups/modN.given.pdf.

We begin our quest to understand (𝑞 | 𝑝), i.e., when is 𝑞 a square modulo 𝑝? When 𝑝 ≡ 1 (mod 5), we consider (5 | 𝑝), and ...

In this video, Jitty covers the axioms you would need to know to do proofs in discrete math or proof courses. He talks about ...

Finding the inverse of a number mod N. For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.

This is an introduction to concepts in number bases. Simple cases are taught to help students preparing for WAEC Maths ...

VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: ...

We know 12 ≡ 2 mod 10 and 13 ≡ 3 mod 10, but does that mean that 12¹³ ≡ 2³ mod 10? When can we replace "equivalent" ...