X-x-1-x-2-x-n-X-P-n-Does-there-exist-a-point-in-N-dimensions-such-that-the-points-and-line-length-from-origin-are-prime-That-is-i-1-n-x-i-2-p-2-p-P-

Question Number 40974 by Penguin last updated on 30/Jul/18

X = (x_{1}, x_{2}, \dots, x_{n}), X \in P^{n}

Does there exist a point in N - dimensions,

such that the points and line length (from origin)

are prime ?

That is,

\underset{i = 1}{\sum^{n}} x_{i}^{2} = p^{2}, p \in P