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In 1724, Goldbach wrote to Bernoulli that a product of three consecutive positive integers is not a square, thereby starting a series of investigations by mathematicians. In 1939, Rigge [1] and Erdős [2], independently, showed that a product of two or more consecutive positive integers is never a square.

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Theorem of Erdős and Rigge and Some Generalizations

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  • 发表日期：

    2025年

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  • Saradha Natarajan

摘要

In 1724, Goldbach wrote to Bernoulli that a product of three consecutive positive integers is not a square, thereby starting a series of investigations by mathematicians. In 1939, Rigge [1] and Erdős [2], independently, showed that a product of two or more consecutive positive integers is never a square.