A165974 -id:A165974 - cp's OEIS frontend

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.

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

Offset: 1

Christopher Hunt Gribble, Oct 10 2009

nonn

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))
  --    ------    -----------   ---------------------
  348511    4999961          0
      38        163          1
     155        907          3
     389       2683          5
     778       5923          7
    1296      10627          9
    1828      15667         11
    2321      20563         13
    3683      34483         15
    3935      37123         17
    4078      38707         19
    6184      61483         21
    8783      90787         23
    9013      93307         25
    9880     103387         27
   15182     166147         29
   12449     133387         31
   19828     222643         33
   18884     210907         35
   14593     158923         37
   22316     253507         39
   25738     296587         41
   26064     300787         43
   26670     308323         45
   31953     375523         47
   33332     393187         49
   45025     546067         51
   35788     425107         53
   37881     452083         55
   50299     615883         57
   39562     474307         59
   49598     606643         61
   77850     991027         63
   56777     703123         65
   53024     652723         67
   70443     888427         69
   71992     909547         71
   70328     886867         73
   72479     916507         75

Christopher Hunt Gribble, Table of n, a(n) for n = 1..1973.

Cf. A165951, A165974, A004273.

cp's OEIS Frontend

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.

Views

Author

Keywords

Comments

Links

Crossrefs