The flesh is soft, juicy and silky-smooth, with a delicate sweet flavor. It has a center cavity filled with small, round, black, peppery-tasting seeds, which are edible but generally discarded. Selection: Look for fruit that is bruise-free with smooth, unwrinkled skin. Avoid very soft fruit with a fermented aroma. Color is not necessarily an indication of ripeness. A ripe papaya will give slightly to palm pressure. Storage: Ripen firm papayas at room temperature. Keep ripe fruit in the refrigerator up to one week.