

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
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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), 2729.


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



