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CN-SMO 2005 Problem 4

    Find all positive integer solutions (a,b,c)(a, b, c) to the function a2+b2+c2=2005a^{2} + b^{2} + c^{2} = 2005 , where a≤b≤ca \leq b \leq c .

    Dataset text AI-MO AoPS. Quoted with source.

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