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A061002
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As p runs through the primes >= 5, sequence gives { numerator of Sum_{k=1..p-1} 1/k } / p^2.
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21
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1, 1, 61, 509, 8431, 39541, 36093, 375035183, 9682292227, 40030624861, 1236275063173, 6657281227331, 2690511212793403, 5006621632408586951, 73077117446662772669, 4062642402613316532391, 46571842059597941563297, 8437878094593961096374353
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,3
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COMMENTS
| This is an integer by a theorem of Waring and Wolstenholme.
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REFERENCES
| Z. I. Borevich and I. R. Shafarevich, Number Theory. Academic Press, NY, 1966, p. 388 Problem 5.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, th. 115.
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LINKS
| R. Mestrovic, Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862-2011), arXiv:1111.3057, 2011
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MAPLE
| f1:=proc(n) local p;
p:=ithprime(n);
(1/p^2)*numer(add(1/i, i=1..p-1));
end proc;
[seq(f1(n), n=3..20)];
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CROSSREFS
| Cf. A185399, A001008, A120285.
Sequence in context: A189174 A142034 A167445 * A069595 A068850 A142667
Adjacent sequences: A060999 A061000 A061001 * A061003 A061004 A061005
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 15 2001
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