  We summarize the status of a ``targeted'' redshift survey aimed at
establishing the properties of galaxies and their large scale distribution in
the redshift range 2.5 < z < 3.5. At the time of this writing, we have obtained
spectra of more than 400 galaxies in this redshift range, all identified using
the ``Lyman break'' color-selection technique. We present some of the first
results on the general clustering properties of the Lyman break galaxies. The
galaxies are very strongly clustered, with co-moving correlation length similar
to present-day galaxies, and they are evidently strongly biased relative to the
mass distribution at these early epochs, which is consistent with hierarchical
galaxy formation models if Lyman break galaxies trace the most massive halos at
z ~ 3. Prospects for large surveys for galaxies beyond z ~ 4 are discussed.
