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.

4, 27, 378, 576, 2688, 17496, 44928, 75776, 168960, 319488, 958464, 2883584, 5767168, 7077888, 279969792, 544997376, 778567680, 2579496960, 3875536896, 22749904896, 60699967488, 87509958656, 164886478848, 199715979264, 446676598784, 2954937499648

Offset

1,1

Comments

It is conjectured that except for 27, all highly decomposable Smith numbers are even.

a(27) > 1.286e13. - Max Alekseyev, Oct 03 2024

References

S. S. Gupta, Smith Numbers, Mathematical Spectrum, 37 (2004/5), 27-29.

Links

Table of n, a(n) for n=1..26.

S. S. Gupta, Smith Numbers.

Formula

Number m = A104168(k) in this sequence iff m = min_{n>=k} A104168(n).

Example

a(3) = 378 because the Smith number 378 has 5 prime factors which is > any Smith number < 378.

Crossrefs

Subsequence of A104168.

Cf. A006753.

Sequence in context: A239726 A058155 A334527 * A359904 A271615 A271616

Adjacent sequences: A104166 A104167 A104168 * A104170 A104171 A104172

Keyword

nonn,base

Author

Shyam Sunder Gupta, Mar 10 2005 and May 03 2005

Extensions

a(20)-a(23) from Donovan Johnson, Jan 02 2013

a(24)-a(26) from Max Alekseyev, Sep 28 2024

Status

approved