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|Paper IPM / M / 15537||
In this note we find all the solutions to the equation x2+2α 3β 19γ=yn in nonnegative unknowns with n ≥ 3 and gcd(x,y)=1, and nonnegative solutions to x2+2α 3β 13γ=yn with n ≥ 3 , gcd(x,y)=1, except when α = 0 and x. β. γ is odd.
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