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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 < 5*10^6 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 Christopher Hunt Gribble, Table of n, a(n) for n = 1..1973. CROSSREFS Cf. A165951, A165974, A004273. Sequence in context: A254165 A254454 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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Last modified September 22 00:42 EDT 2020. Contains 337276 sequences. (Running on oeis4.)