On the primes in floor function sets

Abstract

Let [t] be the integral part of the real number t and let 1 P be the characteristic function of the primes. Denote by π G (x) the number of primes in the floor function set G(x) := [ x n ] : 1 n x and by S 1 P (x) the number of primes in the sequence [ x n ] n 1. Very recently, Heyman proves

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