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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; text; 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 (< 5*10^6). 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 Christopher Hunt Gribble, Table of n, a(n) for n = 1..1973. CROSSREFS Cf. A165951, A165974, A004273. Sequence in context: A209813 A034632 A251155 * A205054 A244549 A214172 Adjacent sequences: A166261 A166262 A166263 * A166265 A166266 A166267 KEYWORD nonn AUTHOR Christopher Hunt Gribble, Oct 10 2009 STATUS approved

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Last modified February 27 19:01 EST 2024. Contains 370378 sequences. (Running on oeis4.)