Socks on Two Needles Without a Seam

Cast on the required number of stitches equal to half of the ribbing. (I have 31 stitches using Candy yarn from Vita, 178 meters - 100 grams, and size 3 needles)

Knit the ribbing to the desired length. (20 rows of ribbing with elongated stitches)

Then knit the stockinette stitch to the necessary length. (4 rows of stockinette stitch)

Next, decrease 2/3 of the stitches, one stitch from each side. (I knit together the 2nd and 3rd stitches at the beginning and end of the row until there were 11 stitches left on the needle).

Then in every second row, from the edge of the already knitted part, knit a stitch from each side

until the original number of stitches is back on the needle. At the same time, the heel is formed, nothing needs to be sewn 

Next, knit straight for the required number of rows. (36 rows for size 37)

Then start decreasing, just like for the heel,

until 1/3 of the stitches are left. (11 stitches remain)

Again, increase stitches from the edge of the knitted part on both sides,

while connecting the parts together, just like when knitting the heel, forming the toe. (There are again 31 stitches on the needle)

Next, in the right side row at the beginning of the row, knit a stitch from the edge of the lower part and knit this stitch with the first stitch of the row. At the end of the row, also knit an additional stitch from the edge of the "sole", and in the purl row knit it together with the first stitch. This way we connect the "sole" with the upper part, while the number of stitches remains unchanged.

This is what the path looks like

After knitting to the required height, switch from stockinette stitch to ribbing

Knit the ribbing and voilà - the sock is ready!