Lightly beat the eggs; whisk in the sugar and flour until well combined.
Add corn syrup and peanuts, and then add butter.
Pour the filling into the prepared crust.
Bake for 45-50 minutes, or until the pie is a rich golden brown, set around the edges, but still a little loose in the center. (If the crust gets too dark, tent the edges with a pie shield or foil during the last part of baking.).