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Ken Jennings | Who2

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Ken Jennings | Who2
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Ken Jennings - Age, Bio, Family | Famous Birthdays
Ken Jennings Bio, Age, Height, Wife, Net Worth, Wiki
Ken Jennings Bio, Age, Height, Wife, Net Worth, Wiki

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But since 506 ≠ 0, no solution has \(y = 0\) (would require \(m = n\), \(m^2 = 506\), not square), so all solutions come in pairs \((x,y)\) and \((x,-y)\), except if \(y = 0\), which doesn’t occur.
But each \((m,n)\) is distinct, so 16 solutions.
But let’s test a small one: \(m = 1\), \(n = 506\):

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