2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/32333We consider functions mapping non-negative integers to non-negative real numbers such that a and a+n are mapped to values at least 1/n apart. In this paper we use a novel method to construct such a function. We conjecture that the supremum of the generated function is optimal and pose some unsolved problems.20 pages, Latex; v2: Introduction expanded, Proof of main theorem rewritten for clarity, formatting changedDiscrete MathematicsG.2text