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HMMT 十一月 2008 · 冲刺赛 · 第 4 题

HMMT November 2008 — Guts Round — Problem 4

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 6 ] What is the smallest prime divisor of 5 + 1?
解析

英文解析

  1. [ 6 ] What is the smallest prime divisor of 5 + 1?
    Answer: 2 Notice that 5 to any power is odd, so this number is even. Then 2 is a prime divisor.
    It also happens to be the smallest prime.