# Do it without a calculator. I double-dare you

If the least solution for the equation

$x^2 - 853777y^2 = 1$

can be represented as $$(x, y)$$, where $$x$$ and $$y$$ are positive integers, find $$x + y$$.

• The least solution is the solution with the smallest values of $$x$$ and $$y$$
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