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Search: id:A125618
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| A125618 |
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(Sum of the squares of the quadratic nonresidues of prime(n)) / prime(n). |
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+0
6
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| 10, 23, 23, 40, 65, 117, 127, 199, 209, 254, 319, 474, 441, 654, 583, 765, 1071, 826, 1218, 1252, 1246, 1476, 1637, 2000, 2042, 1899, 2028, 2974, 3155, 2998, 3394, 3593, 4291, 3983, 4469, 5525, 4867, 5743, 5301, 7274, 5964, 6321, 7446, 7684, 9013, 9099
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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Always an integer for primes > 5.
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REFERENCES
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D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185.
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LINKS
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N. Hobson, Table of n, a(n) for n = 4..1000
N. Hobson, Home page (listed in lieu of email address)
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FORMULA
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a(n)=A125617(n)/prime(n).
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EXAMPLE
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The quadratic nonresidues of 7=prime(4) are 3, 5 and 6. Hence a(4)=(3^2 + 5^2 + 6^2)/7=10.
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PROGRAM
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(PARI) vector(46, m, p=prime(m+3); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)^2); (p-1)*(2*p-1)/6-t/p)
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CROSSREFS
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Cf. A076409, A076410, A125613-A125618.
Sequence in context: A033459 A015902 A054095 this_sequence A154033 A140674 A072245
Adjacent sequences: A125615 A125616 A125617 this_sequence A125619 A125620 A125621
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KEYWORD
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easy,nonn
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AUTHOR
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Nick Hobson Nov 30 2006
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