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Search: id:A054986
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| A054986 |
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Base-10 modest numbers. |
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+0
3
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| 13, 19, 23, 26, 29, 39, 46, 49, 59, 69, 79, 89, 103, 109, 111, 133, 199, 203, 206, 209, 211, 218, 222, 233, 266, 299, 309, 311, 327, 333, 399, 406, 409, 411, 412, 418, 422, 433, 436, 444, 466, 499, 509, 511, 515, 533, 545, 555, 599, 609, 611, 618, 622, 627
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A number is modest if there exists at least one partitioning of its decimal expansion wherein the number divided by the second part leaves a remainder of the first part.
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REFERENCES
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Problem 1291, J. Rec. Math., 17 (No.2, 1984), 140-141.
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EXAMPLE
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2036 is modest because Mod[2036, 36] = 20. 2037 is modest because Mod[2037, 037] = 2.
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CROSSREFS
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Cf. A007627.
Sequence in context: A118845 A050717 A088184 this_sequence A071621 A038888 A113017
Adjacent sequences: A054983 A054984 A054985 this_sequence A054987 A054988 A054989
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KEYWORD
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easy,nonn,base
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AUTHOR
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Hans Havermann (pxp(AT)rogers.com), May 30 2000
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