Preheat oven to 350 degrees. Place unbaked pie shell in a pie pan onto baking sheet for easier handling.
Beat eggs in a medium bowl and blend well.
Add sugar and dark corn syrup, mixing until smooth.
Stir in butter/margarine, salt and vanilla.
Fold in the oats last, mixing just enough to evenly distributed.
Pour the filling into the unbaked pie shell, spreading it even.
Bake for 30-35 minutes, or until the center is mostly set and no longer sloshes when gently moved. (The pie will continue to firm up as it cools.)
Cool completely, then refrigerate for best slicing and texture.