The exclusive photoproduction of Υ(nS) meson states from protons, γp→Υ(nS)p (with n=1,2,3 ), is studied in ultraperipheral p Pb collisions at a centre-of-mass energy per nucleon pair of sNN=5.02TeV . The measurement is performed using the Υ(nS)→μ+μ- decay mode, with data collected by the CMS experiment corresponding to an integrated luminosity of 32.6 nb-1 . Differential cross sections as functions of the Υ(nS) transverse momentum squared pT2 , and rapidity y, are presented. The Υ(1S) photoproduction cross section is extracted in the rapidity range |y|<2.2 , which corresponds to photon-proton centre-of-mass energies in the range 91<Wγp<826GeV . The data are compared to theoretical predictions based on perturbative quantum chromodynamics and to previous measurements.