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HMMT 十一月 2008 · 团队赛 · 第 2 题

HMMT November 2008 — Team Round — Problem 2

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. It turns out that 6 is the smallest juicy integer. Find the next two smallest juicy numbers,
    and show a decomposition of 1 into unit fractions for each of these numbers. You do not needto prove that no smaller numbers are juicy.
解析

英文解析

  1. It turns out that 6 is the smallest juicy integer. Find the next two smallest juicy numbers,
    and show a decomposition of 1 into unit fractions for each of these numbers. You do not needto prove that no smaller numbers are juicy.
    1 1 1 1 1 1 1 1
    Answer: 12 and 15 1 = + + + , 1 = + + + .
    2 4 6 12 2 3 10 15