Scrub the potatoes clean and place in a large saucepan. Add enough cold water to cover potatoes by about an inch. Stir in 2 tablespoons of the kosher salt, place over high heat, and bring to a boil. Reduce the heat and simmer until the potatoes are very tender and can be easily pierced with a sharp knife with no resistance, 20 to 25 minutes. Drain and set aside.