# The 2014 Problem is such a Failure. Let's Try 2015

Because next year is $$2015$$, find the number of ordered triples $$(x, y, z)$$ where $$x$$, $$y$$, and $$z$$ are positive integers such that $$x \leq y \leq z$$ that will satisfy the equation:

$$x ^2 + y^2 + z^2 = 2015$$

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