GAIC Math 2024 Problem 27

Answer

Mutually prime positive integers $p_n, q_n$ satisfy $\frac{P_n}{q_n}=1+\frac12+\frac13+\cdots+\frac1n$ . The sum of all positive integers $n$ such that $3|p_n$ is \underline{\hspace{2cm}}.

Dataset text MathOdyssey. Open licence.

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