On the Solutions of the Diophantine Equation 6^x-n^y=z^2

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Suton Tadee

Abstract

In this research, we study the Diophantine equation gif.latex?6^{x}-n^{y}=z^{2}, where gif.latex?x,y,z are non-negative integers and gif.latex?n is a positive integer with gif.latex?n\neq&space;1 and gif.latex?n\equiv&space;1,3,5\left&space;(&space;mod8&space;\right&space;). By using the basic properties of congruence, the research results indicated that the non-negative integer solutions of this Diophantine equation are equation.

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บทความวิจัย

References

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