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A125551 As p runs through primes >= 5, sequence gives { numerator of Sum_{k=1..p-1} 1/k^2 } / p. +0
1
41, 767, 178939, 18500393, 48409924397, 12569511639119, 15392144025383, 358066574927343685421, 282108494885353559158399, 911609127797473147741660153, 1128121200256091571107985892349 (list; graph; listen)
OFFSET

3,1

COMMENT

This is an integer by a theorem of Waring and Wolstenholme.

MATHEMATICA

a = {}; Do[AppendTo[a, (1/(Prime[x]))Numerator[Sum[1/x^2, {x, 1, Prime[x] - 1}]]], {x, 3, 50}]; a

CROSSREFS

Cf. A061002, A034602.

Adjacent sequences: A125548 A125549 A125550 this_sequence A125552 A125553 A125554

Sequence in context: A009761 A118448 A060563 this_sequence A087856 A010957 A010993

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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