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HMMT 十一月 2015 · 冲刺赛 · 第 34 题

HMMT November 2015 — Guts Round — Problem 34

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 20 ] Let n be the second smallest integer that can be written as the sum of two positive cubes in two
    ( ( ) )
    a ndifferent ways. Compute n . If your guess is a , you will receive max 25 − 5 · max , , 0 points,
    n arounded up.
解析

英文解析

  1. [ 20 ] Let n be the second smallest integer that can be written as the sum of two positive cubes in two
    ( ( ) )
    a ndifferent ways. Compute n . If your guess is a , you will receive max 25 − 5 · max , , 0 points,
    n arounded up.
    Proposed by: Alexander Katz
    Answer: 4104
    3 3 3 3
    A computer search yields that the second smallest number is 4104 . Indeed, 4104 = 9 + 15 = 2 + 16