  We calculate the atmospheric flux of prompt neutrinos, produced in decays of
the charmed particles at energies beyond 1 TeV. Cross sections of the
$D$-mesons and ${\Lambda}^{+}_{c}$ baryons production in pA and $\pi$A
collisions are calculated in the phenomenological quark-gluon string model
(QGSM) which is updated using of the recent measurements of cross sections of
the charmed meson production in the LHC experiments. A new estimate of the
prompt atmospheric neutrino flux is obtained and compared with the limit of the
IceCube experiment as well as with predictions of other charm production
models.
