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 A166263 a(j) = maximum value of n for each distinct increasing value of (Sum of the quadratic non-residues of prime(n) - Sum of the quadratic residues of prime(n)) / prime(n) for each j. 1
 348511, 38, 155, 389, 778, 1296, 1828, 2321, 3683, 3935, 4078, 6184, 8783, 9013, 9880, 15182, 12449, 19828, 18884, 14593, 22316, 25738, 26064, 26670, 31953, 33332, 45025, 35788, 37881, 50299, 39562, 49598, 77850, 56777, 53024, 70443, 71992 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(1) appears to increase indefinitely, so the static sequence starts from a(2). The value of a(1) is the index of the largest prime p < 5x10^6 for which Sum of the quadratic non-residues of p = Sum of the quadratic residues of p. The table below shows for each value of a(j) the corresponding values of p(a(j)) and (Sum of the quadratic non-residues of p(a(j)) - Sum of the quadratic residues of p(a(j))) / p(a(j)) . ..j......a(j)....prime(a(j))...(SQN-SQR)/prime(a(j)) . ..1....348511....4999961..........0 ..2........38........163..........1 ..3.......155........907..........3 ..4.......389.......2683..........5 ..5.......778.......5923..........7 ..6......1296......10627..........9 ..7......1828......15667.........11 ..8......2321......20563.........13 ..9......3683......34483.........15 .10......3935......37123.........17 .11......4078......38707.........19 .12......6184......61483.........21 .13......8783......90787.........23 .14......9013......93307.........25 .15......9880.....103387.........27 .16.....15182.....166147.........29 .17.....12449.....133387.........31 .18.....19828.....222643.........33 .19.....18884.....210907.........35 .20.....14593.....158923.........37 .21.....22316.....253507.........39 .22.....25738.....296587.........41 .23.....26064.....300787.........43 .24.....26670.....308323.........45 .25.....31953.....375523.........47 .26.....33332.....393187.........49 .27.....45025.....546067.........51 .28.....35788.....425107.........53 .29.....37881.....452083.........55 .30.....50299.....615883.........57 .31.....39562.....474307.........59 .32.....49598.....606643.........61 .33.....77850.....991027.........63 .34.....56777.....703123.........65 .35.....53024.....652723.........67 .36.....70443.....888427.........69 .37.....71992.....909547.........71 .38.....70328.....886867.........73 .39.....72479.....916507.........75 LINKS C. H. Gribble, Table of n, a(n) for n=1,..., 1973. CROSSREFS Cf. A165951, A165974, A004273. Sequence in context: A015321 A205420 A217835 * A069314 A022208 A213018 Adjacent sequences:  A166260 A166261 A166262 * A166264 A166265 A166266 KEYWORD nonn AUTHOR Christopher Hunt Gribble, Oct 10 2009 STATUS approved

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