The TOTEM collaboration has measured the proton–proton total cross section at sqrt{s}=13~hbox {TeV} with a luminosity-independent method. Using dedicated beta ^{*}=90~hbox {m} beam optics, the Roman Pots were inserted very close to the beam. The inelastic scattering rate has been measured by the T1 and T2 telescopes during the same LHC fill. After applying the optical theorem the total proton–proton cross section is sigma _mathrm{tot}=(110.6~pm ~3.4) mb, well in agreement with the extrapolation from lower energies. This method also allows one to derive the luminosity-independent elastic and inelastic cross sections: sigma _mathrm{el}=(31.0~pm ~1.7)~hbox {mb} and sigma _mathrm{inel}=(79.5~pm ~1.8)~hbox {mb}.