  In 2008, Kauffman and Lomonaco introduce the concepts of a knot mosaic and
the mosaic number of a knot or link, the smallest integer $n$ such that a knot
or link can be represented on an $n$-mosaic. In arXiv:1702.06462, the authors
explore space-efficient knot mosaics and the tile number of a knot or link, the
smallest number of non-blank tiles necessary to depict the knot or link on a
mosaic. They determine bounds for the tile number in terms of the mosaic
number. In this paper, we focus specifically on prime knots with mosaic number
6. We determine a complete list of these knots, provide a minimal,
space-efficient knot mosaic for each of them, and determine the tile number (or
minimal mosaic tile number) of each of them.
