Today Prussia does not even exist on the map, not even as a province of Germany. It was banished, first by Hitler, who abolished all German states, and then by the allies who singled out Prussia for oblivion as Germany was being reconstituted under their occupation.

Does Prussian culture still exist?

They exists today. Prussia forced the use of nowadays German and oppressed dialects and languages like Low German (Plattdeutsch), which was a common language in northern Germany until 18th century.

What is East Prussia called today?

East Prussia, German Ostpreussen, former German province bounded, between World Wars I and II, north by the Baltic Sea, east by Lithuania, and south and west by Poland and the free city of Danzig (now Gdańsk, Poland).