What model Luger if serial number is 1737 and there is no safety on the grip?

A Luger with the serial number 1737 and no safety on the grip is likely a model from the early production years, specifically a P08 Luger. The absence of a grip safety suggests it may be a variant produced before the introduction of that feature in later models. To determine the exact model and confirm its specifications, additional details such as the year of manufacture and specific markings would be helpful.