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Using a data set of electron-positron collisions corresponding to an integrated luminosity of 2.93 fb−1 taken with the BESIII detector at a center-of-mass energy of 3.773 GeV, a search for the baryon (B) and lepton (L) number violating decays D±→n(n¯)e± is performed. No signal is observed and the upper limits on the branching fractions at the 90% confidence level are set to be 1.43×10−5 for the decays D+(−)→n¯(n)e+(−) with Δ|B−L|=0, and 2.91×10−5 for the decays D+(−)→n(n¯)e+(−) with Δ|B−L|=2 , where Δ|B−L| denotes the change in the difference between baryon and lepton numbers.