Stephens' constant

Stephens' constant expresses the density of certain subsets of the prime numbers.

be two multiplicatively independent integers, that is,

of prime numbers

evenly divides

Assuming the validity of the generalized Riemann hypothesis, the density of the set

relative to the set of all primes is a rational multiple of Stephens' constant is closely related to the Artin constant

that arises in the study of primitive roots.

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