# A primal approach

Number Theory Level pending

Assuming that the following equation has answers over $$x,y,z \in \mathbb {z}$$ for $$p$$ as a prime number,how many different values can $$y-z$$ have?

$$y({z^2}-{x^2}) + x({y^2}-{z^2}) + z({x^2}-{y^2}) =p$$

By the way my own choice of difficulty was "Level 4" but well since it's locked, the question remains "Level 3" for the time being.

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