Preheat oven to 350 degrees. Mix together flour, water, yeast and salt. Form into a large donut shape. Place a large bowl inside the hole so it doesn't close up while baking. Place whole eggs, evenly spaced, on top of dough. Push into dough so that some dough comes up on the sides and slightly on the top of the eggs. Brush top with beaten egg. Let rise, covered, at room temperature for 30 minutes. Bake in oven for 1 hour. Reduce temperature to 250 and bake 1 hour longer or until dough is nicely browned.