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Upper bound by J. Rivat and J. Wu on constant arising in Piatetski-Shapiro primes.
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%I #18 Sep 02 2021 07:27:38

%S 1,1,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,

%T 3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,

%U 5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5,3,6,5,8,5

%N Upper bound by J. Rivat and J. Wu on constant arising in Piatetski-Shapiro primes.

%C Xi proves 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.

%H Victor Zhenyu Guo, Jinjiang Li and Min Zhang, <a href="https://arxiv.org/abs/2109.00461">Piatetski-Shapiro primes in the intersection of multiple Beatty sequences</a>, arXiv:2109.00461 [math.NT], 2021.

%H Ping Xi, <a href="http://arxiv.org/abs/1111.2641">Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes</a>, arXiv:1111.2641 [math.NT], 2011-2012.

%F 243/205.

%e 1.18536585...

%K nonn,easy,cons

%O 1,3

%A _Jonathan Vos Post_, Nov 13 2011