German Mauser 98k bayonet, scabbard & frog, 1930s?

German Mauser 98k bayonet, scabbard and frog all without any problems. Blade is 9.75" and not sharpened, bolted wooden grips, catch works smoothly. Scabbard is free of dents, blued finish, worn finish on the inner side. Clearly a post-WWI bayonet, but the markings are not at all familiar to me. Stamped P.R.S. on the left, s# 7065 on the right. No other markings on bayonet or scabbard that I can find.

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I was looking into Terence Lapin's Mauser Markings book today, p.52, and the P.R.S. mark means that this bayonet was likely issued to either the mounted police (Polizei Reitschule) or an engineers recruiting depot (Pionier-battailion Rekruten-depot) during the Weimar years in Germany.