Place the eggs in a saucepan and add enough water to cover them by about an inch. Bring the water to a boil over high heat.
Once the water is boiling, remove the pan from the heat, cover it with a lid, and let the eggs sit in the hot water for 10 minutes.
After 10 minutes, drain the hot water and immediately transfer the eggs to a bowl of ice water to cool them down quickly.
Once the eggs are completely cooled, peel them and cut them in half lengthwise. Scoop out the yolks and transfer them to a mixing bowl.
Add the mayonnaise, mustard, salt, and pepper to the mixing bowl with the egg yolks. Mix everything together until the mixture is smooth and creamy.
Use a spoon or a piping bag to fill the egg white halves with the deviled egg mixture.
Sprinkle paprika over the tops of the filled deviled eggs for a colorful finishing touch.
Refrigerate the deviled eggs until you're ready to serve them.