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Math Help - A few Number Problems

  1. #1
    Member
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    Apr 2009
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    A few Number Problems

    Hi I haven't had any luck with these questions. Any hints on them:

    1. Can 1000003 be written as the sum of 2 square numbers?

    2. Prove that 801,279,386,104 can't be written as the sum of 3 cubes

    3. There is a set of numbers whose sum is equal to the sum of the elements squared. What's bigger: the sum of the cubes or the sum of the fourth powers?
    Last edited by Aquafina; November 2nd 2009 at 06:04 AM.
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