|
%I #10 Feb 11 2024 13:27:41
%S 3,12,27,48,46,48,139,106,229,286,276,239,469,477,627,698,574,914,823,
%T 1003,1350,1612,1713,1485,1721,2007,2172,2339,2500,3190,2977,3733,
%U 3234,4155,4306,3688,5023,4848,5529,4791,6356,6517,5655,7051,7452,7964,8845
%N (Sum of the squares of the quadratic residues of prime(n)) / prime(n).
%C Always an integer for primes > 5.
%D D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185.
%H Nick Hobson, <a href="/A125614/b125614.txt">Table of n, a(n) for n = 4..1003</a>
%F a(n) = A125613(n)/prime(n).
%e The quadratic residues of 7=prime(4) are 1, 2 and 4. Hence a(4) = (1^2 + 2^2 + 4^2)/7 = 3.
%o (PARI) vector(47, m, p=prime(m+3); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)^2); t/p)
%Y Cf. A076409, A076410, A125613-A125618.
%K easy,nonn
%O 4,1
%A _Nick Hobson_, Nov 30 2006
|
