There might be none. But I was thinking of links between number theory and physics, and this would seem like an example that would definitely solidify that link.
Are there any known natural systems, or physical systems in general (possibly designed), that test the primality of a number directly using the laws of physics? (Barring obvious examples such as machines intricately designed with interlocking parts/electronics to do such a job)
If there are none, I would not be surprised. But I was just curious.