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%I #15 Feb 11 2024 13:19:21
%S 0,2,5,14,33,39,68,95,161,203,279,333,410,473,658,689,944,915,1139,
%T 1491,1314,1738,1826,1958,2328,2525,2884,2996,2943,3164,4318,4585,
%U 4658,5004,5513,6191,6123,6683,7849,7439,8413,8145,10314,9264,9653,10746,11394
%N Sum of the quadratic nonresidues of prime(n).
%C For all n > 2, prime(n) divides a(n).
%D D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185.
%H Nick Hobson, <a href="/A125615/b125615.txt">Table of n, a(n) for n = 1..1000</a>
%H Christian Aebi and Grant Cairns. <a href="http://arxiv.org/abs/1512.00896">Sums of Quadratic residues and nonresidues</a>, arXiv preprint arXiv:1512.00896 [math.NT], 2015.
%F If prime(n) = 4k+1 then a(n) = k(4k+1) = A076409(n).
%e The quadratic nonresidues of 7=prime(4) are 3, 5 and 6. Hence a(4) = 3+5+6 = 14.
%o (PARI) vector(47, n, p=prime(n); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)); p*(p-1)/2-t)
%Y Cf. A076409, A076410, A125613-A125618.
%Y 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.
%K easy,nonn
%O 1,2
%A _Nick Hobson_, Nov 30 2006
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