Put eggs into a 1-quart saucepan, then add enough cold water to cover them by 1/2 inch. Bring water to a boil over high heat, then reduce heat to moderately high and cook eggs at a gentle boil, uncovered, 10 minutes. Pour off hot water. If using eggs right away, shake pan gently so eggs bump into one another (to crack shells). Run cold water into pot to stop cooking. Let eggs stand in cold water 15 minutes, adding more cold water or ice to keep water cold.