A search for the process \(e^+e^- \to \eta^\prime\) has been performed with the SND detector at the VEPP-2000 \(e^+e^-\) collider. The data were accumulated at the center-of-mass energy of \(957.78\pm 0.06\) MeV with an integrated luminosity of about 2.9 pb\(^{-1}\). For reconstruction of the \(\eta^\prime\) meson five decay chains have been used: \(\eta^{\prime}\to\eta\pi^+\pi^-\) followed by the \(\eta\) decays to \(\gamma\gamma\) and \(3\pi^0 \), and \(\eta^{\prime} \to \eta\pi^0\pi^0\) followed by the \(\eta\) decays to \(\pi^+\pi^-\pi^0\), \(\gamma\gamma\), and \(3\pi^0\). As a result, the upper limit has been set on the \(\eta^\prime\) electronic width: \(\Gamma_{\eta^{\prime}\to e^+e^-} < 0.0020\) eV at the 90\% confidence level.