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HMMT 十一月 2013 · GEN 赛 · 第 1 题

HMMT November 2013 — GEN Round — Problem 1

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 2 ] What is the smallest non-square positive integer that is the product of four prime numbers (notnecessarily distinct)?
解析

英文解析

  1. [ 2 ] What is the smallest non-square positive integer that is the product of four prime numbers (notnecessarily distinct)?
    Answer: 24 The smallest two integers that are the product of four primes are 2 = 16 and 4
    2 · 3 = 24. Since 16 is a perfect square and 24 is not, the answer is 24.3