HMMT 二月 2008 · 冲刺赛 · 第 34 题

HMMT February 2008 — Guts Round — Problem 34

Who Wants to Be a Millionaire. In 2000, the Clay Mathematics Institute named seven Millennium Prize Problems , with each carrying a prize of $2 Million for its solution. Write down the name of ONE of the seven Clay Millennium Problems. If your submission is incorrect or misspelled, then your submission is disqualified. If another team wrote down the same Millennium Problem as you, then you get 0 points, otherwise you get 20 points.

解析

Who Wants to Be a Millionaire. In 2000, the Clay Mathematics Institute named seven Millennium Prize Problems , with each carrying a prize of $2 Million for its solution. Write down the name of ONE of the seven Clay Millennium Problems. If your submission is incorrect or misspelled, then your submission is disqualified. If another team wrote down the same Millennium Problem as you, then you get 0 points, otherwise you get 20 points. Solution: The seven Millennium Prize Problems are: (a) Birch and Swinnerton-Dyer Conjecture (b) Hodge Conjecture (c) Navier-Stokes Equations (d) P vs NP (e) Poincar´ e Conjecture (f) Riemann Hypothesis (g) Yang-Mills Theory More information can be found on its official website http://www.claymath.org/millennium/ . As far as this as an HMMT problem goes, it’s probably a good idea to submit something that you think is least likely for another team to think of (or to spell correctly). Though, this may easily turn into a contest of who can still remember the names of the user ranks from the Art of Problem Solving forum.