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Math Help - Diophantine equation problem.

  1. #1
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    Diophantine equation problem.

    Please, I need help (urgently) solving this Diophantine equation (proving that it doesn't have integer solutions):
    x^5-y^2=4
    Thanks in advance...
    Last edited by mr fantastic; January 25th 2011 at 07:05 PM. Reason: Title.
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by TCKony View Post
    Please, I need help (urgently) solving this Diophantine equation (proving that it doesn't have integer solutions):
    x^5-y^2=4
    Thanks in advance...
    There are no solutions modulo  11,22,33,44,55,66,77 . (It seems these are the only moduli without solutions...)
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  3. #3
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    Thanks!
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