Step 1

Place eggs in a medium saucepan; add cold water to cover by 1 inch. Bring to a rolling boil. Remove pan from heat; cover, and let stand 7 minutes. Drain, and run eggs under cold water to cool.

Step 2

Meanwhile, in a medium bowl, mix together mayonnaise, relish, mustard, and a large pinch of cayenne.

Step 3

Peel eggs, and halve lengthwise. Carefully remove yolks to bowl with mayonnaise mixture, leaving whites intact.

Step 4

Mash egg yolks with mayonnaise mixture until smooth; season with salt. Mound into egg whites. Sprinkle with paprika just before serving, if desired.