**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.