Oral title: A NuSTAR census of coronal parameters in Seyfert galaxies Oral abstract: We discuss the results of the hot corona parameters of a sample of active galactic nuclei (AGN) composed by nearby brightest Seyfert galaxies that are present in the Swift-BAT 70-month catalogue and that have been observed by NuSTAR alone or simultaneously with other X-rays observatories, such as Swift, Suzaku, or XMM-Newton. The aim of this work is to look for correlations between coronal parameters, such as the photon index and cut-off energy, or the optical depth and temperature, and other parameters of the systems, such as the black hole mass or the Eddington ratio.