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The atmospheric vertical muon energy spectra have been calculated in terms of the QGSJET-01 and QGSJETII-04 models at 10^2 – 10^5 GeV with the help of the CORSIKA package and the Gaisser-Honda approximations of the measured spectra of primary protons, helium and neutrogen nuclei. It has been shown that predictions of the QGSJET-01 and QGSJETII-04 models for these muon fluxes are below 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 in interactions of the primary protons and other primary nuclei with nuclei in the atmosphere by the same factors.