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Search: id:A125615
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| A125615 |
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Sum of the quadratic nonresidues of prime(n). |
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+0
4
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| 0, 2, 5, 14, 33, 39, 68, 95, 161, 203, 279, 333, 410, 473, 658, 689, 944, 915, 1139, 1491, 1314, 1738, 1826, 1958, 2328, 2525, 2884, 2996, 2943, 3164, 4318, 4585, 4658, 5004, 5513, 6191, 6123, 6683, 7849, 7439, 8413, 8145, 10314, 9264, 9653, 10746, 11394
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For all n > 2, prime(n) divides a(n).
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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 = 1..1000
N. Hobson, Home page (listed in lieu of email address)
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FORMULA
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If prime(n) = 4k+1 then a(n) = k(4k+1) = A076409(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+5+6=14.
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PROGRAM
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(PARI) vector(47, n, p=prime(n); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)); p*(p-1)/2-t)
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CROSSREFS
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Cf. A076409, A076410, A125613-A125618.
Sequence in context: A022913 A056358 A036681 this_sequence A096772 A090803 A018015
Adjacent sequences: A125612 A125613 A125614 this_sequence A125616 A125617 A125618
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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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