  We present the first direct-detection search for eV-to-GeV dark matter using
a new ~2-gram high-resistivity Skipper-CCD from a dedicated fabrication batch
that was optimized for dark-matter searches. Using 24 days of data acquired in
the MINOS cavern at the Fermi National Accelerator Laboratory, we measure the
lowest rates in silicon detectors of events containing one, two, three, or four
electrons, and achieve world-leading sensitivity for a large range of sub-GeV
dark matter masses. Data taken with different thicknesses of the detector
shield suggest a correlation between the rate of high-energy tracks and the
rate of single-electron events previously classified as "dark current." We
detail key characteristics of the new Skipper-CCDs, which augur well for the
planned construction of the ~100-gram SENSEI experiment at SNOLAB.
