I agree, where you don't have to count calories on atkins, that doesn't mean you can consume 4000 calories a day and expect to loose weight.
I tend to have a very slow matabolism. Dr. Atkins does recommend in h is book that even t hough calorie counting is not important that a good average is to stay between 10 and 12 x your weight.

Everyone is different and you have to find out what works for you. But I would never never go under 10 x your weight.