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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.)