  We compute the static contribution to the gravitational interaction potential
of two point masses in the velocity-independent five-loop (and 5th
post-Newtonian) approximation to the harmonic coordinates effective action in a
direct calculation. The computation is performed using effective field methods
based on Feynman diagrams in momentum-space in $d = 3 - 2\varepsilon$ space
dimensions. We also reproduce the previous results including the 4th
post-Newtonian order.
