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PUMaC 2007 · 数论(A 组) · 第 4 题

PUMaC 2007 — Number Theory (Division A) — Problem 4

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. A positive integer is called squarefree if its only perfect square factor is 1. Call a set of positive integers squarefreeful if each product of two of its elements is squarefree, and squarefreefullest if no positive integer less than the maximum element of the set can be added while preserving the set’s squarefreefulness. What is the minimum number of elements in a squarefreefullest set containing 31?
解析

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Original Explanation

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