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HMMT 十一月 2024 · 冲刺赛 · 第 10 题

HMMT November 2024 — Guts Round — Problem 10

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [8] Compute the largest prime factor of 3 + 3 + 3 + 1 .
解析
  1. [8] Compute the largest prime factor of 3 + 3 + 3 + 1. Proposed by: Derek Liu Answer: 41 Solution: Observe 4 3 12 8 4 12 9 5 (3 + 1) = 3 + 3 · 3 + 3 · 3 + 1 = 3 + 3 + 3 + 1 , 4 so the answer is the largest prime factor of 3 + 1 = 82, which is 41 .