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- Aims: Gas cooling in the centre of massive galaxy clusters is believed tofeed the most powerful active galactic nuclei in the Universe. How oftenclusters at high redshift show such cool cores has still to be explored bycurrent and upcoming X-ray telescopes. - Methods: We correlated extended X-rayemissions from the second XMM-Newton source catalogue with SDSS data toparticularly identify distant clusters. 2XMM J100451.6+411627 is a candidateluminous enough to obtain its redshift and temperature from the X-ray spectrum.We also determine the surface luminosity profile and estimate the temperaturein a few spherical bins. The analysis is complemented by a Subaru g'r'i'-image.- Results: 2XMM J100451.6+411627 has a redshift a redshift of z=0.82+-0.02 anda temperature of k_BT = 4.2+-0.4 keV. A double-beta profile fit yields a highlyconcentrated surface brightness, c_SB = 0.32, i.e. the clusters hosts verylikely a strong cool core. This is supported by the relaxed morphology of thecluster and an central temperature decrease.

2XMM J100451.6+411627: A cool core cluster at z=0.82