@SouravGhosh Why? It is a typical “Here's the statement of my question, solve it for me” question without any additional context, and was closed by the community. It is unlikely that the question will ever be improved by its auther because they haven't been seen on this site for almost a year.
@SouravGhosh Compare math.meta.stackexchange.com/q/32402/42969: “If the question is unsalvageable, you can rewrite it entirely by posting a new question” (with more details on when and how to rewrite).
By Helfgott's ternary Goldbach conjecture we have that $\psi : \Bbb{P}^3 \twoheadrightarrow (2\Bbb{N}+1)\setminus \{1,2,3,5\}$ given by $\psi(p,q,r) = p + q + r$ is surjective. Which is to say every odd integer greater than $5$ is a sum of exactly $3$ prime numbers.
Now consider $\Bbb{P}' := \pm...
Minor announcement about GPT flags: Please do not hesitate to flag AI-generated posts. The mod team considers these posts low quality, and we do not intend to decline these flags, although they may be handled slowly. With that said, please do not rely solely on GPT detector tools, as they tend to not be fairly inaccurate, namely when producing false positives. Instead, please take into account other heuristics and use your natural intelligence. Thanks folks.