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A search for the rare decay B+→Λ¯pμ+μ- is performed using proton-proton collision data recorded by the LHCb experiment at a center-of-mass energy of s=13 TeV, corresponding to an integrated luminosity of 5.4 fb-1. An excess of events is found with respect to the background-only expectation, with a signal significance of 3.5 standard deviations, in the low invariant-mass region of m(Λ¯p)