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Math Help - how to solve this in natural numbers?

  1. #1
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    how to solve this in natural numbers?

    x^4 + y^4 = 1234567890003
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  2. #2
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    Quote Originally Posted by noteiler View Post
    x^4 + y^4 = 1234567890003
    No solutions. A sum of two fourth powers is in particular a sum of two squares, which cannot be congruent to 3 mod 4.
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