Boil the potatoes for 15 minutes, until just tender, and drain.
Let cool enough to handle, then peel.
Pass the potatoes one at a time through a ricer into a large bowl, then spread the riced potatoes onto a baking sheet, sprinkle with 1 tablespoon salt, and let the potatoes cool and dry for 30 minutes.
Once cool, transfer to a large mixing bowl. Note: If you're using left-over mashed potatoes you can just jump to this next step.
Whisk the eggs in a small bowl and drizzle them over the potatoes. Using a fork, gently stir to combine.
Sift the chestnut flour over the mixture, stirring with the fork to incorporate.
Stir in the all-purpose flour until just combined (up to 2 cups, I used 1 1/2 cups).
Knead the dough for about 5 minutes, until it is soft but holds together; it should not crack, but have the consistency of room temperature butter.
Divide the dough into two 5-inch disks, then divide each disk into quarters.
Roll each quarter into a 12-inch rope, about 1 inch in diameter. Cut the rope into 1-inch lengths and, using the tines of a fork or a ribbed gnocchi board, gently roll the gnocchi to form ridges.