A104169 - OEIS

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.

%I #17 Oct 03 2024 17:16:09

%S 4,27,378,576,2688,17496,44928,75776,168960,319488,958464,2883584,

%T 5767168,7077888,279969792,544997376,778567680,2579496960,3875536896,

%U 22749904896,60699967488,87509958656,164886478848,199715979264,446676598784,2954937499648

%N 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.

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

%C a(27) > 1.286e13. - _Max Alekseyev_, Oct 03 2024

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

%H S. S. Gupta, <a href="http://www.shyamsundergupta.com/smith.htm">Smith Numbers</a>.

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

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

%Y Subsequence of A104168.

%Y Cf. A006753.

%K nonn,base

%O 1,1

%A _Shyam Sunder Gupta_, Mar 10 2005 and May 03 2005

%E a(20)-a(23) from _Donovan Johnson_, Jan 02 2013

%E a(24)-a(26) from _Max Alekseyev_, Sep 28 2024