A search for the process $epemto eta^prime(958)$ in the $pipietatopipigammagamma$ final state has been performed with the CMD-3 detector at the VEPP-2000 $e^+e^-$ collider. Using an integrated luminosity of 2.69 pb$^{-1}$ collected at the center-of-mass energy Ecm = 957.68 MeV we set an upper limit for the product of electronic width and branching fractions $Gamma_{eta^prime(958)toepem}cdotBR_{eta^prime(958)topipieta}cdotBR_{etatogammagamma}<0.00041$ eV at 90% C.L.