In a large bowl, with wooden spoon, cream together peanut butter and butter.

Add eggs and vanilla and stir together until well-blended.

Add sugars and stir well.

Sift in flour, baking soda and salt and stir together until completely incorporated into the dough.

Roll into balls and place 2 inches apart on baking sheet or baking stone.

With a fork, flatten slightly, making a criss-cross pattern on top of cookie. If fork sticks to dough, dip it in flour or sugar.

Bake at 350ºF for 10-12 minutes.

Remove from oven, and let sit for a few minutes before transferring to cooling rack.

Store in air-tight container.