In a large mixing bowl, combine the eggs and egg yolks and whisk until smooth. Add the vanilla, brown sugar, salt and melted butter and whisk until well blended. Slowly blend in the corn syrup and mix well. Last, add the pecans and stir until they are well coated in the mixture.

Pour the filling into your prepared pastry shell, making sure the pecans are evenly distributed with an even depth.

Place the pie on a baking sheet and bake at 375 degrees for 15 minutes. Reduce the oven temperature to 300 degrees and continue to bake for 50 to 60 minutes, or until the filling has set and a knife or toothpick inserted into the center returns clean.

Remove from the oven and place the pie on a wire rack to cool slowly for 2 hours before serving