The TOTEM (TOTal cross section, Elastic scattering and diffraction

dissociation Measurement at the LHC) experiment, located at the

interaction point 5 of the LHC, has measured the total, elastic and

inelastic proton-proton cross-sections, using a luminosity independent

method, based on the optical theorem, in a center-of-mass energy range

from 2.76 to 13 TeV. The elastic scattering was investigated in a wide

range of the squared four-momentum transfer $|t|$ allowing study

of the Coulomb-nuclear interference region down to $|t| \sim 8\times

10^{-4}$ GeV$^{2}$. This made possible the first measurement of the $\rho$

parameter at $\sqrt{s} = 13$ TeV, $\rho$ being the ratio between the real

and the imaginary part of the nuclear elastic scattering amplitude at

$t = 0$. This measurement, combined with the total cross-section

results, led to the exclusion of all the models classified and

published by the COMPETE Collaboration. The results obtained by TOTEM

are indeed compatible with predictions of a colourless 3-gluon bound

state exchange in the t-channel of proton-proton elastic scattering,

as postulated by alternative theoretical models both in the Regge-like

framework and in the modern QCD framework.

In this contribution the TOTEM experiment detectors and results will

be described, along with the actual experiment status, the future

physics program for the LHC Run~3.