OFFSET
1,3
COMMENTS
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.
LINKS
Victor Zhenyu Guo, Jinjiang Li and Min Zhang, Piatetski-Shapiro primes in the intersection of multiple Beatty sequences, arXiv:2109.00461 [math.NT], 2021.
Ping Xi, Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes, arXiv:1111.2641 [math.NT], 2011-2012.
FORMULA
243/205.
EXAMPLE
1.18536585...
CROSSREFS
KEYWORD
AUTHOR
Jonathan Vos Post, Nov 13 2011
STATUS
approved