Abstract
In this paper, we prove a quantitative version of the statement that every nonempty finite subset of ℕ+ is a set of quadratic residues for infinitely many primes of the form [n c] with 1 ≤ c ≤ 243/205. Correspondingly, we can obtain a similar result for the case of quadratic non-residues under reasonable assumptions. These results generalize the previous ones obtained by Wright in certain aspects.
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