|
|
A104169
|
|
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.
|
|
1
|
|
|
4, 27, 378, 576, 2688, 17496, 44928, 75776, 168960, 319488, 958464, 2883584, 5767168, 7077888, 279969792, 544997376, 778567680, 2579496960, 3875536896, 22749904896, 60699967488, 87509958656, 164886478848
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
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.
|
|
REFERENCES
|
S. S. Gupta, Smith Numbers, Mathematical Spectrum, 37 (2004/5), 27-29.
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 378 because the Smith number 378 has 5 prime factors which is > any Smith number < 378.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|