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Marquez's Equation (Posted on 2005-03-02) Difficulty: 3 of 5
Find all postive integer solutions to the equation x^y-y^x=x+y.

See The Solution Submitted by owl    
Rating: 4.1429 (7 votes)

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Some Thoughts Brute force | Comment 1 of 9
My calc teacher would be frowning, but the answers I came up with, using brute force, were (1,0) and (2,5).  I went up to (100,100) and did not find any other solutions.  Taking either number as a negative integer results in a non-integer equation and thus eliminates those choices.
  Posted by Leming on 2005-03-02 18:55:42
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