No, a hard-boiled egg should be cooked for MUCH longer than a minute!!! OMG, three minute eggs are runny... can you imagine a ONE minute egg? The best way is to bring the eggs to a boil, cover the pan with a tight fitting lid, shut off the burner and leave the pan sit on the burner for 20 minutes. Then drain the hot water off and rinse the eggs in cold water until they are completely cool. This eliiminates the grayish ring around the yolk, and the eggs don't get rubbery from overcooking.
Cook them for ten minutes if you want to let the yolk runnny then five minutes when your done put them on the sink with water running the eggs have to be under the water and start pealing the shells (first crack) then you should keep the inside on the water put them on a plate and ENJOY!!
Put eggs in pan. Add enough water to cover the eggs. Put lid on pan. Cook on high heat until water boils. Turn off heat but leave lid on pan for 15 minutes. Run cold water over eggs until cool to touch. Peel off shell and enjoy!