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A110108
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Conjectured values of n such that sigma(n)+sigma(k)=sigma(n+k) has no solution.
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1
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3, 9, 15, 21, 27, 39, 57, 63, 81, 93, 105, 117, 165, 171, 183, 189, 201, 219, 225, 243, 256, 279, 303, 309, 333, 351, 363, 375, 381, 387, 405, 417, 441, 453, 465, 471, 489, 512, 543, 549, 567, 579, 603, 633, 651, 657, 669, 687, 693, 711, 723, 729, 741, 777
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| All k<10^10 have been checked. Note that this sequence appears to contain all powers of 3. It also contains 256 and 512, which are the only even numbers listed here.
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REFERENCES
| R. K. Guy, Unsolved Problems in Number Theory, 3rd Ed., New York, Springer-Verlag, 2004, Section B15.
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CROSSREFS
| Cf. A066435 (least k such that sigma(n)+sigma(k)=sigma(n+k)).
Sequence in context: A030594 A032676 A016945 * A162843 A102954 A162486
Adjacent sequences: A110105 A110106 A110107 * A110109 A110110 A110111
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Jul 12 2005
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