I think what you are describing as a nut is actually a cover concealing the nut. Look at it carefully, does there seem to be a tiny gap between it and the wiper arm? If it's a cap it should be able to be gently pried up.
You should not need to remove the nut best thing is go to where you bought the blades or any auto parts store and they will install them on for free, most of the time they snap in place and slide on to the wiper arm.
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