  First inclusive measurements of isolated prompt photons in photoproduction at
HERA have been made with the ZEUS detector. Cross sections are given as a
function of the pseudorapidity and the transverse energy of the photon, for
E_T^gamma > 5 GeV in the gamma-p centre-of-mass energy range 134-285 GeV.
Comparisons are made with predictions from LO Monte Carlo models and NLO QCD
calculations. For forward eta^gamma (proton direction) good agreement is found,
but in the rear direction all predictions fall below the data.
