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Preheat oven to 350°F. Line the bottom of an 8 inch springform pan with parchment paper and grease the sides of the pan.
Peel apples and remove cores. Slice apples to 1/2 inch cubes.
Add eggs and sugar to the bowl of a stand mixer. Using the whisk attachment, beat on highest speed for about 8 minutes or until mixture turns a very pale brown and is very thick.
Add in flour and gently fold in with a spatula until just mixed.
Add in apples and gently fold in so that they are evenly spread out in the batter.
Pour batter into prepared springform pan. Bake for about 1 hour 10 minutes in the middle row of the oven or until cake is done. Top will be dark brown and toothpick inserted should come out clean.
Let the cake cool for about 20-30 minutes before dusting top with powdered sugar and slicing and serving.