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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 < 5x10^6 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))
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..j......a(j)....prime(a(j))...(SQN-SQR)/prime(a(j))
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..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
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