On the Diophantine Equation 8^x+n^y=z^2

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Duration: 3 min 30 s
Description: Let n be an positive integer with n = 10(mod15). In this paper, we prove that (1,0,3) is unique non negative integer solution (x,y,z) of the Diophantine equation 8^x+n^y=z^2 where x y, and z are non-negativeintegers.
Wachirarak Orosram; Chalermwut Comemuang
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