Mystery and Prime

Detective Herlock Sholmes surveyed a crime scene. Trying to make sense of it, he could be certain of only one thing. The man was dead. Herlock could find no explanation for the manner of death. The victim was fully dressed in a suit and tie but had died from $X$ bullet shots, where $X$ is the $K^{th}$ prime number. His clothes did not have any holes or blood on them. No one reported hearing any gu