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Search: id:A104167
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| A104167 |
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Numbers n which when multiplied by any repunit prime Rp give a Smith number. |
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+0
1
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| 1540, 1720, 2170, 2440, 5590, 6040, 7930, 8344, 8470, 8920, 23590, 24490, 25228, 29080, 31528, 31780, 33544, 34390, 35380, 39970, 40870, 42490, 42598, 43480, 44380, 45955, 46270, 46810, 46990, 47908, 48790, 49960, 51490, 51625, 52345
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers in the sequence must have a digital root of 1
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REFERENCES
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Oltikar, Sham and Keith Wayland. "Construction of Smith Numbers," Mathematics Magazine, vol. 56(1), 1983, pp. 36-37.
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LINKS
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S. S. Gupta, Smith Numbers.
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EXAMPLE
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1720 is a number in the sequence because 1720*Rp is always a Smith number, where Rp is a Repunit prime. Let Rp=11, so 1720*11=18920 which is a Smith number as sum of digits of 18920 is 1+8+9+2+0=20 and sum of digits of prime factors of 18920(i.e. 2*2*2*5*11*43) is also 20 (i.e. 2+2+2+5+1+1+4+3).
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CROSSREFS
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Cf. A006753, A004022.
Sequence in context: A045123 A105923 A133354 this_sequence A092717 A083734 A137598
Adjacent sequences: A104164 A104165 A104166 this_sequence A104168 A104169 A104170
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KEYWORD
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base,nonn
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com), Mar 10 2005
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