A few weeks ago I made up a "fake prime function" to illustrate that a certain property wasn't really a property specific to primes. I notice @johndcook wrote about it a couple of times

johndcook.com/blog/2023/08/21/

mathstodon.xyz/@johndcook/1109

In the back of my mind was Cramer's "model" of the primes although I was interested in different statistical properties terrytao.wordpress.com/tag/cra

@KodeGhinn @johndcook The density of the primes goes roughly like 1/log(n) and nlog(n) is good enough to get into the right ballpark to match the graph in the original question.

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