HMMT 十一月 2008 · 团队赛 · 第 2 题
HMMT November 2008 — Team Round — Problem 2
题目详情
- 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 need to prove that no smaller numbers are juicy.
解析
- 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 need to 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