A166131 a(j) = minimum 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, 4, 9, 15, 20, 46, 39, 43, 52, 76, 64, 83, 118, 92, 166, 154, 128, 146, 173, 236, 228, 190, 283, 215, 434, 240, 246, 395, 607, 377, 357, 536, 349, 492, 519, 444, 722, 430, 635, 814, 598, 512, 541, 562, 700, 821, 633, 708, 893, 729, 738

Offset

1,2

Links

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

Example

The table below shows for each value of a(j) the corresponding values of prime(a(j)) and (Sum of the quadratic non-residues of prime(a(j)) - Sum of the quadratic residues of prime(a(j))) / prime(a(j))
.
   j      a(j)    prime(a(j))   (SQN-SQR)/prime(a(j))
  --      ----    -----------   ---------------------
   1         1          2          0
   2         4          7          1
   3         9         23          3
   4        15         47          5
   5        20         71          7
   6        46        199          9
   7        39        167         11
   8        43        191         13
   9        52        239         15
  10        76        383         17
  11        64        311         19
  12        83        431         21
  13       118        647         23
  14        92        479         25
  15       166        983         27
  16       154        887         29
  17       128        719         31
  18       146        839         33
  19       173       1031         35
  20       236       1487         37
  21       228       1439         39
  22       190       1151         41
  23       283       1847         43
  24       215       1319         45
  25       434       3023         47
  26       240       1511         49
  27       246       1559         51
  28       395       2711         53
  29       607       4463         55
  30       377       2591         57
  31       357       2399         59
  32       536       3863         61
  33       349       2351         63
  34       492       3527         65
  35       519       3719         67
  36       444       3119         69
  37       722       5471         71
  38       430       2999         73
  39       635       4703         75
  40       814       6263         77
  41       598       4391         79
  42       512       3671         81
  43       541       3911         83
  44       562       4079         85
  45       700       5279         87
  46       821       6311         89
  47       633       4679         91
  48       708       5351         93
  49       893       6959         95
  50       729       5519         97
  51       738       5591         99

Crossrefs

Cf. A165951, A165974, A004273.

Sequence in context: A301680 A281590 A112781 * A313273 A313274 A122927

Adjacent sequences: A166128 A166129 A166130 * A166132 A166133 A166134

Keyword

nonn

Author

Christopher Hunt Gribble, Oct 07 2009

Extensions

Sequence corrected and comments added by Christopher Hunt Gribble, Oct 10 2009

Status

approved