MHB How Can the Chinese Remainder Theorem Be Applied to Diophantine Equations?

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The discussion focuses on the application of the Chinese Remainder Theorem (CRT) in solving Diophantine equations. Participants seek tangible and impactful examples to effectively introduce CRT to students. Practical applications of CRT in number theory and cryptography are highlighted as engaging ways to demonstrate its relevance. The conversation emphasizes the importance of real-world examples to enhance student understanding and interest. Overall, the thread aims to provide educators with effective strategies for teaching this mathematical concept.
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Chinese Remainder Theorem
What is the most tangible way to introduce the Chinese Remainder Theorem? What are the practical and really interesting examples of this theorem. I am looking for examples which have a real impact on students.
 
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matqkks said:
Chinese Remainder Theorem
What is the most tangible way to introduce the Chinese Remainder Theorem? What are the practical and really interesting examples of this theorem. I am looking for examples which have a real impact on students.

http://mathhelpboards.com/number-theory-27/applications-diophantine-equations-6029.html#post28283

Kind regards$\chi$ $\sigma$
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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