Questions about oil pressure…

Hello! Is my first car with an oil pressure indicator (Carrera2, 996, 4 weeks old), and therefore I am a bit unsure about the values, which it indicates to me. In idle it is warm at about 2 bar, at speeds up to 2000 at about 3.5. Then continuously rising up to 3500 = 5 (probably also above it?) Cold the pressure is a little higher, at 2000 so 44.5 bar. Is this normal? In the manual a little bit of 3.5 bar at 5000 would be good. Have checked the oil level, which is approx. 2 mm above max according to the bar. Would be grateful for information.