This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A125617 #13 Dec 20 2024 02:15:36 %S A125617 0,4,13,70,253,299,680,1235,2691,3683,6169,7733,10414,13717,22278, %T A125617 23373,38586,35563,51255,76041,60298,96222,103916,110894,143172, %U A125617 165337,206000,218494,206991,229164,377698,413305,410726,471766,535357,647941,625331 %N A125617 Sum of the squares of the quadratic nonresidues of prime(n). %C A125617 For all n > 3, prime(n) divides a(n). %D A125617 D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185. %H A125617 Nick Hobson, <a href="/A125617/b125617.txt">Table of n, a(n) for n = 1..1000</a> %e A125617 The quadratic nonresidues of 7=prime(4) are 3, 5 and 6. Hence a(4) = 3^2 + 5^2 + 6^2 = 70. %t A125617 Table[Total[Complement[Range[p-1],Union[Table[PowerMod[k, 2, p], {k, p}]]]^2],{p,Prime@Range[37]}] (* _James C. McMahon_, Dec 19 2024 *) %o A125617 (PARI) vector(37, n, p=prime(n); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)^2); p*(p-1)*(2*p-1)/6-t) %Y A125617 Cf. A076409, A076410, A125613-A125618. %K A125617 easy,nonn %O A125617 1,2 %A A125617 _Nick Hobson_, Nov 30 2006