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Math Help - Prove this is the only solution

  1. #16
    Senior Member TriKri's Avatar
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    It seems so easy... I can't believe there's no simple proof for this one! :/
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  2. #17
    Grand Panjandrum
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    Quote Originally Posted by TriKri View Post
    It seems so easy... I can't believe there's no simple proof for this one! :/
    There are at least two answers to your post:

    1. Try harder

    2. Nobody said that there is no elementary proof, just that neither we nor
    the lecturer knew of one.

    RonL
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  3. #18
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    There is only one known elementary proof, at least, I think. It came from Euler, but it is a mess, many texts omit his proof but only mention it.

    A sufficent (but not necessary) condition to determine whether you will be the next great mathemation can be determined if you can solve diophantine equations. If yes, then you have no need to fear.
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