Core mass function (dN/d logM) for the 199 robust prestellar cores (blue histogram), and for the 299 robust and candidateprestellar cores (red histogram) in Perseus. The two distributions overlap above M ~ 1.2. Histogramsuse a bin size of logM = 0.1. Green and dashed grey lines show a log normal fit, and the orange line shows a power-lawfit (see text for details). The dashed black line shows the completeness limit at ~ 0.32 M_⊙.