If I form Germany, do I lose Prussia's cores?

If I form Germany, do I lose Prussia's cores? - Scattered sprinkles and wooden decoration with inscription

As Brandenburg, I formed Prussia as soon as I was able. Unfortunately, France has become defender of the Catholic faith, so it'll be a while before I can take on Poland to get my remaining cores, and I might be able to form Germany before getting the chance. Will I lose my uncontrolled Prussian cores if I do that?

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I formed the GERMAN EMPIRE 900 years early...

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