OtherBesides prime numbers, is there another physically realizable counting process that exhibits a 1/log density ? The reason I am posting this question is that we are measuring the response of a quantum tunneling based counting device and it is showing 1/log asymptotics which we have matched up to 50 million primes. The measurement results can be found here
https://arxiv.org/abs/1711.11032
In other words, is the 1/log density unique to prime number generation ? Any suggestions would be helpful before we set up an experiment to precisely measure the electron transport process.