For which Primes, p, is -1 Congruent to a Perfect Square?
In this video, we simply pose a question that leads to lots of interesting mathematics. Before watching the next video, give this question some thought.
Patterns in The Data
This video discusses some of the patterns that arose from the data that students generated as they were trying to answer the question: for which primes is -1 congruent to a perfect square? The discussion then moves on to the answer to this question.
Proving Our Result
This video simply provides a proof of our theorem.
Discussion of Our Proof
In this video, we describe the method we used to prove our result, and describe how it might be useful.
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