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In this tutorial, I delve into a proof that for all integers A and B, if A mod 7 equals 5 and B mod 7 equals 6, then AB mod 7 equals 2.

There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable ...

This video explains how to use a congruent to b modulo n to determine the remainder of a quotient. mathispower4u.com.

MIT 6.1200J Mathematics for Computer Science, Spring 2024 Instructor: Brynmor Chapman View the complete course: ...

𝙎𝙞𝙜𝙣 𝙪𝙥 for Number Theory course (coming soon) on our website: https://www.socratica.com/courses/number-theory ...

How many points can you place on an n x n grid without having any three of them lie in a straight line? It turns out, we don't know ...

Clock: https://www.youtube.com/watch?v=MSBwdVLvFt8&list=PLJ-ma5dJyAqpPZVC5JDsjnTR9udlJvfCk&index=9 ...

Daniela Kaufmann (TU Wien) https://simons.berkeley.edu/talks/daniela-kaufmann-tu-wien-2023-04-20 Satisfiability: Theory, ...

In this video, we explore the history of number systems that were invented in order to solve the Fermat's Last Theorem, and we will ...

This is a MAML (Maine Association of Math Leagues) problem from October 2011 (Meet 1 of 2011-12), Round 4, Problem 3: ...

Struggling with modular arithmetic or clock maths? ⏰ Don't worry! In this comprehensive math lesson, we break down modular ...

I solve problem A1 of the 2024 Putnam competition using Algebra and just a little bit modulo arithmetic. Determine all positive ...

First video ever: https://youtu.be/oOsYACy0UUY Previous video (LaGrange and Chinese remainder theorem): ...

Unlock the power of modular arithmetic with this example: (2^70+3^35) mod 31 In this video, we carefully simplify large exponents ...

This is the recording for Mod A: Clock and Modular Arithmetic.

I'll work the problem as well and we'll compare our results. Hello again. All right, let's see what I can do. So the first step is going to ...

Here's another example of using decimals for problem-solving Joyce bought 2 hardcover books at a swap meet for $1.95.

Strategizing and solving a number theory problem from the CGMO 2010, the year when a U.S. team won 2nd place and brought ...

So our focus will be this division problem. If you recall, the rule for division is change division to multiplication by giving the ...

There are two important theorems that make the job of understanding powers in modular arithmetic much simpler. These go back ...