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A125613
Sum of the squares of the quadratic residues of prime(n).
6
1, 1, 17, 21, 132, 351, 816, 874, 1104, 4031, 3286, 8473, 11726, 11868, 11233, 24857, 28143, 38247, 46766, 40754, 66722, 65017, 83249, 120150, 156364, 173013, 152955, 184147, 218763, 245436, 297053, 327500, 437030, 413803, 556217, 488334, 652335
OFFSET
1,3
COMMENTS
For all n > 3, prime(n) divides a(n).
REFERENCES
D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185.
EXAMPLE
The quadratic residues of 7=prime(4) are 1, 2 and 4. Hence a(4)=1^2 + 2^2 + 4^2=21.
MATHEMATICA
Table[Total[ResourceFunction["QuadraticResidues"][Prime[n]]^2], {n, 37}] (* James C. McMahon, Dec 19 2024 *)
PROG
(PARI) vector(37, n, p=prime(n); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)^2); t)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Nick Hobson, Nov 30 2006
STATUS
approved