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Search: id:A061002
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| A061002 |
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As p runs through primes >= 5, sequence gives { numerator of Sum_{k=1..p-1} 1/k } / p^2. |
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+0
18
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| 1, 1, 61, 509, 8431, 39541, 36093, 375035183, 9682292227, 40030624861, 1236275063173, 6657281227331, 2690511212793403, 5006621632408586951, 73077117446662772669, 4062642402613316532391, 46571842059597941563297, 8437878094593961096374353
(list; graph; listen)
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OFFSET
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3,3
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COMMENT
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This is an integer by a theorem of Waring and Wolstenholme.
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REFERENCES
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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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CROSSREFS
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Sequence in context: A029815 A091912 A130117 this_sequence A069595 A068850 A037065
Adjacent sequences: A060999 A061000 A061001 this_sequence A061003 A061004 A061005
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KEYWORD
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nonn,easy
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AUTHOR
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njas, May 15 2001
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