Similar to Goldbach's Conjecture
Is it possible to express any integer $n \ge 17$ as: $n = p_1 + p_2 + x^2 + y^2$ where $p_1, p_2$ are prime numbers, $x, y$ are positive integers, and satisfy the following condition: $y - x \in \{1, 2\}$
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Is it possible to express any integer $n \ge 17$ as: $n = p_1 + p_2 + x^2 + y^2$ where $p_1, p_2$ are prime numbers, $x, y$ are positive integers, and satisfy the following condition: $y - x \in \{1, 2\}$