Definition: In the context of mathematics, a van der Waerden's number is defined as follows: A van der Waerden's number (also known as a Van der Waerden type number) is a positive integer that is equal to or greater than 50. This property is named after the Dutch mathematician and logician Gerhard H. van der Waerden. The definition of a Van der Waerden number can be expressed mathematically as follows: Let n be
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