PUMaC 2025 · 个人决赛（A 组） · 第 2 题

PUMaC 2025 — Individual Finals (Division A) — Problem 2

Prove that there exists a constant c > 0 such that for any set of integers a > · · · > a there 1 n c log n/ log log n exist indices 1 ≤ i < j ≤ n such that a − a has ≥ 2 divisors. i j

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