# Not many, just 5 dimensions

Find least possible value of $$n$$, such that we can always choose 2 points out of $$n$$ points in 5-dimensional space (wherever they may be marked), such that there's at least one more lattice point on the segment joining them.

Details and assumptions:-

• In the 5D space, every point can be represented as coordinates $$(a,b,c,d,e)$$, where $$a,b,c,d,e,f \in \mathbb{R}$$
• Lattice points are points that have integer coordinates.
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