MHB Questions on Pell's & Non-Linear Diophantine Equations UG Level

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Resources for Pell's and non-linear Diophantine equations at the undergraduate level include specific threads and forums dedicated to these topics. Pell's Equation is highlighted as particularly relevant, with suggestions to explore existing discussions on platforms like Math Help Boards. Users are encouraged to seek out interesting problems and results that can enhance their understanding. Engaging with these resources can provide valuable insights and practice opportunities. Overall, the forum serves as a useful starting point for students interested in these mathematical concepts.
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Are there any resources of questions on the topic of Pell's and non linear Diophantine equations? I am looking for interesting results which are required to be solved. This is for a typical second year undergraduate level.
Thanks.
 
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Have you looked at https://mathhelpboards.com/showthread.php?2905-The-Pell-Sequence in this forum?
 

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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