jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pThe differential cross-section of prompt inclusive production of long-lived charged particles in proton-proton collisions is measured using a data sample recorded by the LHCb experiment at a centre-of-mass energy of jats:inline-formulajats:alternativesjats:tex-math$$ \sqrt{s} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msqrt mml:mis</mml:mi> </mml:msqrt> </mml:math></jats:alternatives></jats:inline-formula> = 13 TeV. The data sample, collected with an unbiased trigger, corresponds to an integrated luminosity of 5jats:italic.</jats:italic>4 nbjats:supjats:italic−</jats:italic>1</jats:sup>. The differential cross-section is measured as a function of transverse momentum and pseudorapidity in the ranges jats:italicp</jats:italic>jats:subT</jats:sub> ∈ [80jats:italic,</jats:italic> 10 000) MeVjats:italic/c</jats:italic> and jats:italicη</jats:italic> ∈ [2jats:italic.</jats:italic>0jats:italic,</jats:italic> 4jats:italic.</jats:italic>8) and is determined separately for positively and negatively charged particles. The results are compared with predictions from various hadronic-interaction models.</jats:p>