Line 9-inch pie pan with pie crust. Raise and crimp edges.
Beat eggs in large bowl, using mixer or by hand. Add brown sugar, syrup, salt, melted butter, and vanilla and mix thoroughly.
Put chopped pecans in pie crust. Pour egg mixture over pecans.
Place in middle rack of oven. Bake for 10 minutes, then reduce heat to 325° F and back until nearly set, approx. 25-30 minutes. Do not overcook; the filling should still quiver when you remove the pie from the oven.
Let cool to room temperature before serving.
Notes
Adapted from The Silver Palate Cookbook by Julee Rosso and Sheila Lukins.