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A166264 If the n-th prime is denoted by p(n) then a(j) = frequency with which each distinct value of (Sum of the quadratic non-residues of p(n) - Sum of the quadratic residues of p(n)) / p(n) occurs. 2
174195, 6, 16, 25, 31, 34, 41, 37, 68, 45, 47, 85, 68, 95, 93, 83, 73, 101, 103, 85, 115, 109, 106, 154, 107, 132, 159, 114, 163, 179, 128, 132, 216, 164, 120, 209, 150, 119, 237, 216, 175, 228, 150, 221, 222, 192, 214, 262, 241, 185, 289, 196, 181, 379, 189 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The table below shows a(j) for each distinct value of

(Sum of the quadratic non-residues of p(n) -

Sum of the quadratic residues of p(n)) / p(n)

for 1 <= n <= 348513, with p(348513) = 4999999 (< 5x10^6).

a(1) appears to increase indefinitely, so the static sequence starts at a(2).

.

..j.....(SQN-SQR)/p(n)......a(j)

.

..1............0..........174195

..2............1...............6

..3............3..............16

..4............5..............25

..5............7..............31

..6............9..............34

..7...........11..............41

..8...........13..............37

..9...........15..............68

.10...........17..............45

.11...........19..............47

.12...........21..............85

.13...........23..............68

.14...........25..............95

.15...........27..............93

.16...........29..............83

.17...........31..............73

.18...........33.............101

.19...........35.............103

.20...........37..............85

.21...........39.............115

.22...........41.............109

.23...........43.............106

.24...........45.............154

.25...........47.............107

.26...........49.............132

.27...........51.............159

.28...........53.............114

.29...........55.............163

.30...........57.............179

.31...........59.............128

.32...........61.............132

.33...........63.............216

.34...........65.............164

.35...........67.............120

.36...........69.............209

.37...........71.............150

.38...........73.............119

.39...........75.............237

.40...........77.............216

.41...........79.............175

.42...........81.............228

.43...........83.............150

.44...........85.............221

.45...........87.............222

.46...........89.............192

.47...........91.............214

.48...........93.............262

.49...........95.............241

.50...........97.............185

.51...........99.............289

.52..........101.............196

.53..........103.............181

.54..........105.............379

.55..........107.............189

.56..........109.............209

.57..........111.............314

.58..........113.............239

LINKS

C. H. Gribble, Table of n, a(n) for n=1,..., 1973.

CROSSREFS

Cf. A165951, A165974, A004273.

Sequence in context: A204792 A147314 A034632 * A205054 A029830 A202491

Adjacent sequences:  A166261 A166262 A166263 * A166265 A166266 A166267

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 10 2009

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.