Question: need some help with this: Find all integer solutions x, y, p to the equation: x + y + x2 + y2 = 1) such

need some help with this:

need some help with this: Find all integer
Find all integer solutions x, y, p to the equation: x + y + x2 + y2 = 1) such that p is a prime number. Solution must be mathematically rigorous

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