PUMaC 2025 · 代数（B 组） · 第 4 题

PUMaC 2025 — Algebra (Division B) — Problem 4

Let ⋆ be an associative operation on the set of positive real numbers that satisfies x √ x ⋆ x ⋆ · · · ⋆ x = | {z } k x appears k times for any positive real number x and positive integer k . Let s denote the n th smallest positive n integer with no prime factor greater than 5. Compute s ⋆ s ⋆ s ⋆ · · · . 1 2 3

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