We report on the observation of new and unexpected properties of primary cosmic rays, He, C, and O, measured in the rigidity (momentum/charge) range 2~GV to $3$~TV with 90 million helium, 8.4 million carbon, and 7.0 million oxygen nuclei collected by the Alpha Magnetic Spectrometer on the International Space Station during the first 5 years of operation. Unexpectedly, above 60 GV, these three spectra have identical rigidity dependence. They all deviate from a single power law above 200~GV and harden in an identical way. These are new and unexpected properties of primary cosmic rays and they are challenging current model of CR production, acceleration, and propagation.