In the first paper of a series of two devoted to the search for Ultra-High Energy (UHE) neutrinos at the Pierre Auger Observatory, data collected at the Pierre Auger Observatory has allowed the Pierre Auger Collaboration to put the most stringent limits so far to the diffuse flux of UHE neutrinos in the EeV energy range. No neutrino candidates were found in ~ 14.7 years of data taken up to 31 August 2018. The absence of neutrino candidates allowed us to constrain several classes of models of neutrino production in interactions of UHECR with the Cosmic Microwave Background (CMB), referred to as cosmogenic neutrino models.

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