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We present an updated all-particle energy spectrum of primary cosmic rays ina wide range from 10^14 eV to 10^17 eV using 5.5 times 10^7 events collected inthe period from 2000 November through 2004 October by the Tibet-III air-showerarray located at 4300 m above sea level (atmospheric depth of 606 g/cm^2). Thesize spectrum exhibits a sharp knee at a corresponding primary energy around 4PeV. This work uses increased statistics and new simulation calculations forthe analysis. We performed extensive Monte Carlo calculations and discuss themodel dependences involved in the final result assuming interaction models ofQGSJET01c and SIBYLL2.1 and primary composition models of heavy dominant (HD)and proton dominant (PD) ones. Pure proton and pure iron primary models arealso examined as extreme cases. The detector simulation was also made toimprove the accuracy of determining the size of the air showers and the energyof the primary particle. We confirmed that the all-particle energy spectraobtained under various plausible model parameters are not significantlydifferent from each other as expected from the characteristics of theexperiment at the high altitude, where the air showers of the primary energyaround the knee reaches near maximum development and their features aredominated by electromagnetic components leading to the weak dependence on theinteraction model or the primary mass. This is the highest-statistical and thebest systematics-controlled measurement covering the widest energy range aroundthe knee energy region.

The all-particle spectrum of primary cosmic rays in the wide energy range from 10^14 eV to 10^17 eV observed with the Tibet-III air-shower array