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A166131 If the nth prime is denoted by p(n) then a(j) = minimum value of n for each distinct increasing value of (Sum of the quadratic non-residues of p(n) - Sum of the quadratic residues of p(n)) / p(n) for each j. +0
2
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 (list; graph; listen)
OFFSET

1,2

EXAMPLE

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)....p(a(j))...(SQN-SQR)/p(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, A166132

Sequence in context: A143709 A010446 A112781 this_sequence A122927 A078505 A107986

Adjacent sequences: A166128 A166129 A166130 this_sequence A166132 A166133 A166134

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 07 2009

EXTENSIONS

Sequence corrected and comments added by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 10 2009

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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