Аннотация:More accurate original calculations of the atmospheric vertical muon energy spectra at energies
10**2 − 10**5 GeV have been carried out in terms of the QGSJET01 and QGSJETII-04 models. The Gaisser-
Honda approximations of the measured energy spectra of primary protons, helium and nitrogen nuclei have
been used. The CORSIKA package has been used to simulate cascades in the standard atmosphere induced
by different primary particles with various fixed energies E. Statistics of simulated cascades for secondary
particles with energies (0.01 − 1) · E was increased up to 10**6. It has been shown that predictions of the
QGSJET01 and QGSJETII-04 models for these muon fluxes are below the data of the classical experiments
L3 + Cosmic, MACRO and LVD by factors of ∼ 1.7-2 at energies above 10**2 GeV. It has been concluded that
these tested models underestimate the production of the most energetic secondary particles, namely, π-mesons
and K-mesons, in interactions of primary protons and other primary nuclei with nuclei in the atmosphere by
the same factors.