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MathNet 2026 — Part 06 Question 48

Math Olympiad Vault · MathNet 2026 — Part 06

Question 48

Determine whether there is a finite set $\{a_1, a_2, \dots, a_n\}$ of distinct positive integers such that
$$
2020 = \sum_{j=1}^{n} \frac{1}{a_j}.
$$