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Question Number 162522 by HongKing last updated on 30/Dec/21

$$\mathrm{Determine}\mathrm{all}\mathrm{positive}\mathrm{integers}$$$$\mathbf{N}\mathrm{which}\mathrm{the}\mathrm{sphere}$$$${\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{z}}^2=\mathrm{N}$$$$\mathrm{has}\mathrm{an}\mathrm{inseribed}\mathrm{regular}\mathrm{tetrahedron}$$$$\mathrm{whose}\mathrm{vertices}\mathrm{have}\mathrm{integer}\mathrm{coordinates}$$

Answered by mr W last updated on 30/Dec/21

Commented by HongKing last updated on 30/Dec/21

$$\mathrm{thank}\mathrm{you}\mathrm{my}\mathrm{dear}\mathrm{Sir},\mathrm{solution}\mathrm{please}$$

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