The invariant differential cross section for inclusive neutral-pion production in p+p collisions at √s=200 GeV was measured at midrapidity (|η|<0.35) over the range 1 < pT ≲ 14 GeV=c by the PHENIX experiment at the Relativistic Heavy Ion Collider. Predictions of next-to-leading order perturbative QCD calculations are consistent with these measurements. The precision of our result is sufficient to differentiate between prevailing gluon-to-pion fragmentation functions.