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A058210
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[ exp(gamma) n log log n ], where gamma is Euler's constant (A001620).
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3
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-2, 0, 2, 4, 6, 8, 10, 12, 14, 17, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 46, 49, 52, 54, 57, 60, 62, 65, 68, 70, 73, 76, 79, 81, 84, 87, 90, 92, 95, 98, 101, 104, 107, 109, 112, 115, 118, 121, 124, 127, 130, 133, 135, 138, 141, 144, 147, 150
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| Theorem (G. Robin): exp(gamma) n log log n > sigma(n) for all n >= 5041 if and only if the Riemann Hypothesis is true.
Note that a(n) <= exp(gamma) n log log n < a(n) + 1.
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REFERENCES
| D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section III.2.2.b.
G. Robin, Grandes valeurs de la fonction somme des diviseurs et hypothese de Riemann, J. Math. Pures Appl. 63 (1984), 187-213.
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LINKS
| G. Caveney, J.-L. Nicolas, and J. Sondow, Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis, Integers 11 (2011), #A33.
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CROSSREFS
| See A058209.
Sequence in context: A194751 A194739 A194765 * A079550 A067648 A052438
Adjacent sequences: A058207 A058208 A058209 * A058211 A058212 A058213
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 30 2000
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EXTENSIONS
| Statement of Robin's theorem corrected by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), May 30 2011
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