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 A282037 Let p = n-th prime == 3 mod 4; a(n) = (sum of quadratic nonresidues mod p) - (sum of quadratic residues mod p). 7
 1, 7, 11, 19, 69, 93, 43, 235, 177, 67, 497, 395, 249, 515, 321, 635, 655, 417, 1057, 163, 1837, 895, 2483, 1791, 633, 1561, 1135, 3585, 1757, 3419, 2981, 849, 921, 5909, 993, 1735, 6821, 3303, 1137, 6511, 3771, 9051, 6585, 2215, 3241, 3269, 11975, 3409, 4419, 1497, 10563, 2615, 1641, 5067, 2855 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Equals A282036 - A282035. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Christian Aebi and Grant Cairns. Sums of Quadratic residues and nonresidues, arXiv preprint arXiv:1512.00896 [math.NT] (2015). MAPLE with(numtheory): a:=[]; m:=[]; d:=[]; for i1 from 1 to 200 do p:=ithprime(i1); if (p mod 4) = 3 then sp:=0; sm:=0; for j from 1 to p-1 do if legendre(j, p)=1 then sp:=sp+j; else sm:=sm+j; fi; od; a:=[op(a), sp]; m:=[op(m), sm]; d:=[op(d), sm-sp]; fi; od: a; m; d; # A282035, A282036, A282037 MATHEMATICA sum[p_] := Total[If[JacobiSymbol[#, p] == 1, -#, #]& /@ Range[p-1]]; sum /@ Select[Prime[Range[200]], Mod[#, 4] == 3&] (* Jean-François Alcover, Aug 31 2018 *) CROSSREFS Sums of residues, nonresidues, and their differences, for p == 1 mod 4, p == 3 mod 4, and all p: A171555; A282035, A282036, A282037; A076409, A125615, A282038. Sequence in context: A323109 A023267 A319224 * A050562 A321806 A057190 Adjacent sequences:  A282034 A282035 A282036 * A282038 A282039 A282040 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 20 2017 STATUS approved

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Last modified April 21 13:37 EDT 2021. Contains 343153 sequences. (Running on oeis4.)