The pt-differential production cross sections of the prompt (B feed-down subtracted) charmed mesons D0, D+, and D*+ in the rapidity range |y| < 0.5, and for transverse momentum 1 < pt < 12 GeV/c, were measured in proton-proton collisions at √s = 2.76 TeV with the ALICE detector at the Large Hadron Collider. The analysis exploited the hadronic decays D0 → K-π+, D+ → K-π+π+, D*+ → D0π+, and their charge conjugates, and was performed on a Lint = 1.1 nb-1 event sample collected in 2011 with a minimum-bias trigger. The total charm production cross section at √s = 2.76 TeV and at 7 TeV was evaluated by extrapolating to the full phase space the pt-differential production cross sections at √s = 2.76 TeV and our previous measurements at √s = 7 TeV. The results were compared to existing measurements and to perturbative-QCD calculations. The fraction of cd D mesons produced in a vector state was also determined. © 2012 SISSA.