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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

%I

%S 174195,6,16,25,31,34,41,37,68,45,47,85,68,95,93,83,73,101,103,85,115,

%T 109,106,154,107,132,159,114,163,179,128,132,216,164,120,209,150,119,

%U 237,216,175,228,150,221,222,192,214,262,241,185,289,196,181,379,189

%N 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.

%C 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 (< 5*10^6).

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

%C j (SQN-SQR)/p(n) a(j)

%C -- -------------- ------

%C 1 0 174195

%C 2 1 6

%C 3 3 16

%C 4 5 25

%C 5 7 31

%C 6 9 34

%C 7 11 41

%C 8 13 37

%C 9 15 68

%C 10 17 45

%C 11 19 47

%C 12 21 85

%C 13 23 68

%C 14 25 95

%C 15 27 93

%C 16 29 83

%C 17 31 73

%C 18 33 101

%C 19 35 103

%C 20 37 85

%C 21 39 115

%C 22 41 109

%C 23 43 106

%C 24 45 154

%C 25 47 107

%C 26 49 132

%C 27 51 159

%C 28 53 114

%C 29 55 163

%C 30 57 179

%C 31 59 128

%C 32 61 132

%C 33 63 216

%C 34 65 164

%C 35 67 120

%C 36 69 209

%C 37 71 150

%C 38 73 119

%C 39 75 237

%C 40 77 216

%C 41 79 175

%C 42 81 228

%C 43 83 150

%C 44 85 221

%C 45 87 222

%C 46 89 192

%C 47 91 214

%C 48 93 262

%C 49 95 241

%C 50 97 185

%C 51 99 289

%C 52 101 196

%C 53 103 181

%C 54 105 379

%C 55 107 189

%C 56 109 209

%C 57 111 314

%C 58 113 239

%H Christopher Hunt Gribble, <a href="/A166264/b166264.txt">Table of n, a(n) for n = 1..1973</a>.

%Y Cf. A165951, A165974, A004273.

%K nonn

%O 1,1

%A _Christopher Hunt Gribble_, Oct 10 2009

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Last modified January 28 06:00 EST 2021. Contains 340490 sequences. (Running on oeis4.)