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The smallest number of species for which this happens is unknown.","posed_since":"","precise":"$\\mathrm{SU}(3)$ gauge theory with $N_{f}$ massless Dirac fermions in the fundamental representation is asymptotically free for $N_{f} < 16.5$ and has a perturbative IR fixed point near that value. Determine $N_{f}^{*}$ such that for $N_{f}^{*} \\le N_{f} < 16.5$ the IR is a CFT and for smaller $N_{f}$ chiral symmetry breaks; in particular decide $N_{f} = 8, 10 \\text{ and } 12$.","problem_ref":null,"references":"","settled_by":"Continuum-extrapolated lattice determinations of the step-scaling function or spectrum for $N_f = 8\\ \\text{to}\\ 13$ that agree between independent groups.","status_note":"Lattice groups disagree on $N_{f} = 10\\text{ and }12$; estimates of $N_{f}^{*}$ range from about 9 to 13 (2009-2025).","title":"Lower edge of the conformal window in SU(3) gauge 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