Viscosity measurements of pure krypton were carried out in the temperature range from (253.15 to 473.15) K at pressures up to 2 MPa utilizing a rotating-body viscometer. Herewith, the viscosity is determined relative to helium on the basis of the decay rate of a slender cylindrical body, which is vertically levitated by a magnetic-suspension coupling that rotates inside a pressure-tight measuring cell. In contrast to our previous studies, the residual damping value was determined experimentally within the scope of this work. The obtained values for the residual damping were validated by a comparison of two re-evaluated data sets for argon and neon with highly accurate experimental and ab initio calculated literature values for the viscosity in the limit of zero density. The relative combined expanded uncertainty (k = 2) of the viscosity measurements of krypton was estimated to be between (0.17 and 0.28)%. For the purpose of data comparison, a simple viscosity correlation was fitted to the measured data due to a missing correlation function. The new experimental data are in very good agreement with other experimental data from literature at low densities. Furthermore, the new data show relative deviations <0.2% from recent ab initio calculations in the limit of zero density.