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HMMT 二月 2001 · 冲刺赛 · 第 25 题

HMMT February 2001 — Guts Round — Problem 25

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ ± 10] What is the remainder when 100! is divided by 101?
解析
  1. [ ± 10] What is the remainder when 100! is divided by 101? Solution: Wilson’s theorem says that for p a prime, ( p − 1)! ≡ − 1(p), so the remainder is 100 .