  The present-day status of the problem of searching for primary cosmic gamma
rays at energies above 100 TeV is discussed, as well as a proposal for a new
experiment in this field. It is shown that an increase of the area of the muon
detector of the Carpet-2 air shower array up to 410 square meters, to be
realized in 2016, will make this array quite competitive with past and existing
experiments, especially at modest energies. Some preliminary results of
measurements made with smaller area of the muon detector are presented together
with estimates of expected results to be obtained with the coming large-area
muon detector.
