Abstract
In this short note, we show that the Diophantine equation 2 9 3 x y − = z has all non-negative integer solutions , , ∈ { , 2 , 0 : ∈ ℕ ∪ {0}} and the Diophantine equation 2 13 7 x y − = z have the unique non-negative integer solution ( , , ) (0,0,0) x y z = .
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