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HMMT 二月 2013 · 冲刺赛 · 第 35 题

HMMT February 2013 — Guts Round — Problem 35

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 25 ] Let P be the number to partition 2013 into an ordered tuple of prime numbers? What is log ( P )? If your answer is A and the correct answer is C , then your score on this problem will be 2 ⌊ ( ( ) )⌋ 125 C A 3 min , − or zero, whichever is larger. 2 A C 5
解析
  1. [ 25 ] Let P be the number to partition 2013 into an ordered tuple of prime numbers? What is log ( P )? If your answer is A and the correct answer is C , then your score on this problem will be 2 ⌊ ( ( ) )⌋ 125 C A 3 min , − or zero, whichever is larger. 2 A C 5 Answer: 614.519... We use the following facts and heuristics. n − 1