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A104169
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Highly decomposable Smith numbers. A Smith number which sets a record for the number of prime factors (counting multiplicity) starting from first Smith number is called a highly decomposable Smith number.
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1
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4, 27, 378, 576, 2688, 17496, 44928, 75776, 168960, 319488, 958464, 2883584, 5767168, 7077888, 279969792, 544997376, 778567680, 2579496960, 3875536896
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Except for 27, no other highly decomposable Smith number below 10^9 is odd. It is conjectured that except for 27, all highly decomposable Smith numbers are even.
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REFERENCES
| S. S. Gupta, Smith Numbers, Mathematical Spectrum, 37 (2004/5), 27-29.
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LINKS
| S. S. Gupta, Smith Numbers.
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EXAMPLE
| a(3)=378 because number of prime factors of Smith number 378 are 5 which is higher than any Smith number below 378.
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CROSSREFS
| Cf. A006753, A104168.
Sequence in context: A159599 A203202 A058155 * A123672 A119030 A120093
Adjacent sequences: A104166 A104167 A104168 * A104170 A104171 A104172
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KEYWORD
| nonn
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AUTHOR
| Shyam Sunder Gupta (guptass(AT)rediffmail.com), Mar 10 2005 and May 03 2005
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