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A200141 Upper bound by J. Rivat and J. Wu on constant arising in Piatetski-Shapiro primes. 1
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..99.

Ping Xi, Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes, arXiv:1111.2641v1 [math.NT], Nov 11, 2011.

FORMULA

243/205.

EXAMPLE

1.18536585.

CROSSREFS

Sequence in context: A086723 A011406 A201488 * A011466 A154509 A081885

Adjacent sequences:  A200138 A200139 A200140 * A200142 A200143 A200144

KEYWORD

nonn,easy,cons

AUTHOR

Jonathan Vos Post, Nov 13 2011

STATUS

approved

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Last modified October 21 07:07 EDT 2019. Contains 328292 sequences. (Running on oeis4.)