Number theory, a mathematical domain, centers on integers and their patterns. It often requires advanced methods to solve even simple problems. The Congruent Number Problem, unsolved for centuries, exemplifies this challenge. This survey article highlights how studying congruent numbers motivates exploring elliptic curves and how insights from these curves advance solving the Congruent Number Problem. The elegant connections between these subjects are striking.
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Palash Khanra (2024) studied this question.
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