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HMMT 二月 2013 · 冲刺赛 · 第 35 题

HMMT February 2013 — Guts Round — Problem 35

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 25 ] Let P be the number to partition 2013 into an ordered tuple of prime numbers? What islog ( 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

英文解析

  1. [ 25 ] Let P be the number to partition 2013 into an ordered tuple of prime numbers? What islog ( 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