This image shows a hat knit in circular prime rib
Foundation Row: Knit 1, *bring yarn forward as if to P, slip 1 purlwise, K1 - allowing yarn to make a sloppy diagonal loop over right-hand needle. Repeat from * to last stitch, yarn forward as if to P, slip 1 purlwise, yarn around needle (this is the same as the simple increase one does when purling).
Row 2: *Slip 1 purlwise, yarn around needle, p2tog (the purl stitch and sloppy diagonal loop); repeat from *
Row 3: Take yarn to the back as for K. k2tog (the knit stitch and the sloppy diagonal loop), *bring yarn forward as if to P, slip 1 purlwise, k2tog (the knit stitch and the sloppy diagonal loop) - allowing yarn to make a sloppy diagonal loop over right-hand needle. Repeat from * to last stitch. Yarn forward as if to P, slip 1 purlwise, yarn around needle.
Repeat the last two rows.