Clarification on Set notation

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The question I'm working on says: Find all pairs (x, y) ∈ $\mathbb{N}^2 $ with $x^2 + 3y^2 = 364$.

Can you verify for me whether $\mathbb{N}^2$ is the set of ordered pairs composed of natural numbers or is it saying that the xs and ys will be squares of natural numbers.