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 A282042 Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p that are > p/2. 5
 11, 128, 219, 520, 1176, 1348, 2221, 3310, 4766, 6106, 8034, 8271, 10049, 12443, 14613, 15193, 21012, 27486, 26814, 30664, 39248, 39318, 41699, 48888, 46052, 52595, 74613, 72878, 78599, 85768, 107895, 103643, 111125, 111195, 130497, 145619, 148490, 160159, 169503, 166856, 180406, 194204 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..1000 Aebi, Christian, and Grant Cairns. Sums of Quadratic residues and nonresidues, arXiv preprint arXiv:1512.00896 (2015). MAPLE with(numtheory): Ql:=[]; Qu:=[]; Q:=[]; Nl:=[]; Nu:=[]; N:=[]; for i1 from 1 to 300 do p:=ithprime(i1); if (p mod 8) = 7 then ql:=0; qu:=0; q:=0; nl:=0; nu:=0; n:=0; for j from 1 to p-1 do if legendre(j, p)=1 then q:=q+j; if j

p/2 && JacobiSymbol[#, p] != 1, #, 0]& /@ Range[p-1]]; sum /@ Select[Range[7, 1000, 8], PrimeQ] (* Jean-François Alcover, Aug 31 2018 *) CROSSREFS Cf. A282035-A282043 and A282721-A282727. Sequence in context: A363111 A181012 A168327 * A015601 A024144 A201877 Adjacent sequences: A282039 A282040 A282041 * A282043 A282044 A282045 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 20 2017 STATUS approved

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Last modified June 9 19:10 EDT 2023. Contains 363183 sequences. (Running on oeis4.)