MHB How Can Pell's Equation Enhance Elementary Number Theory?

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Pell's equation can be effectively introduced in elementary number theory through its historical context and connection to continued fractions. Practical applications include solving problems in Diophantine equations and cryptography. Interesting questions surrounding Pell's equation involve its solutions, properties, and connections to other mathematical concepts. Recommended resources for further exploration include textbooks and online lectures that focus on number theory. Understanding Pell's equation enriches the study of elementary number theory significantly.
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What is the best way to introduce Pell’s equation on a first elementary number theory course? Are there any practical applications of Pell’s equation? What are the really interesting questions about Pell’s equation? Are there any good resources on Pell’s equation.
 
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matqkks said:
What is the best way to introduce Pell’s equation on a first elementary number theory course? Are there any practical applications of Pell’s equation? What are the really interesting questions about Pell’s equation? Are there any good resources on Pell’s equation.

Hi everyone, :)

I just wanted to point out that this question was answered at,

https://www.linkedin.com/grp/post/4510047-6027195611164454913?trk=groups-post-b-title

so as to avoid duplication of effort.
 

Thread 'Significant figures for inherently bound values'

I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...
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