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The relativistic hydrogen atom in an Euclidean space-time of arbitrary numberof space dimensions ($D$) plus one time dimension is revisited. In particular,numerical solutions of the radial Dirac equation for a generalized Coulombianpotential proportional to $1/r^{(D-2)}$ are investigated. It is argued that onecould not find any physical solution for $D\geq 4$.

Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat spacetime admit any solution for $D\geq 4$?