On the Diophantine Equation 3^x+n^y=z^2, where 𝒏≡𝟐 (𝐦𝐨𝐝 𝟑)
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Abstract
In this research, we investigated all solutions of the Diophantine equation , where
are non-negative integers and
is a positive integer such that
, by using Mihăilescu’s Theorem and Leu and Li’s Theorem. The research findings revealed that the Diophantine equation has all solutions, which are
.
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