 The physical value \(\rho_V\) of the cosmological constant is empirically found to be of order \(\rho_V\sim10^{-3}\,\textrm{eV}\). The constant \(c\), which depends on parameters that characterize the top quark and the Higgs particle, is empirically known to be roughly of order \(1\). If we take the cut-off to be of the order of the Planck scale \(\Lambda\sim10^{19}\,\textrm{GeV}\), the bare term \(\rho_0\), must cancel the contribution \(c\Lambda^4\) to more than 120 orders of magnitude. Even if we assume a cut-off as low as \(\Lambda\sim1\,\textrm{TeV}\), i.e., already within reach of current accelerator technology, we find that a cancellation between \(\rho_0\) and \(c\Lambda^4\) to about 50 digits remains necessary. Contrary to the case of the Higgs mass, there are few ideas of how future physical theories might be able to avoid this problem.