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Which ζ-function controls the density of base=2 Miller–Rabin pseudoprimes?

Background: the density d (≈ inverse distance between elements of the set) of primes is “controlled by zeros of ζ-function” in the sense that $(d(x) - T(x))·\log(x)/√x$ is an almost periodic function …
Ilya Zakharevich's user avatar