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We present preliminary results of an off-line search for non-triggeredgamma-ray bursts (GRBs) in the BATSE daily records for about 5.7 years ofobservations. We found more GRB-like events than the yield of the similarsearch of Kommers et al. (1998) and extended the Log N - log P distributiondown to $\sim$ 0.1 ph cm$^{-2}$ s$^{-1}$. The indication of a turnover of thelog N - log P at a small P is not confirmed: the distribution is straight at1.5 decades with the power law index -.6 and cannot be fitted with a standardcandle cosmological model.Comment: 4 pages, LaTeX, to appear in Proceedings "Gamma Ray Bursts in the  Afterglow Era", Rome, November 1998, A&AS, 199

A Search for Nontriggered Gamma-Ray Bursts in the BATSE Continuous Records: First Results