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# How many possible solution in this equation?

$\frac{2016^x+\underbrace{2016^2+2016^2+\ldots+2016^2}_{p \text{ times}}}{2016^y}=2016$

where $$p,x$$ and $$y$$ are both positive integers

What is the value of $$\dfrac{x^3-y^3+2016xy}{2016xy}$$?

Note by Novril Razenda
4 months, 4 weeks ago

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$$\text{There are infinite many solutions to this problem}$$ · 4 months, 3 weeks ago