A104168 Smallest Smith number with n prime factors.

4, 27, 636, 378, 729, 648, 576, 2688, 17496, 44928, 75776, 168960, 765952, 319488, 958464, 5537792, 5963776, 2883584, 5767168, 7077888, 279969792, 544997376, 778567680, 2579496960, 4567597056, 3875536896, 22749904896, 60699967488, 87509958656, 164886478848, 758296608768, 199715979264, 599147937792, 5295694675968, 446676598784, 2954937499648

Offset

2,1

Comments

a(38) > 1.286e13. - Max Alekseyev, Oct 03 2024

Links

Table of n, a(n) for n=2..37.

Patrick Costello, A new largest Smith number, Fibonacci Quarterly 40(4) (2002), 369-371.

Underwood Dudley, Smith numbers, Mathematics Magazine 67(1) (1994), 62-65.

S. S. Gupta, Smith Numbers, Mathematical Spectrum 37(1) (2004/5), 27-29.

S. S. Gupta, Smith Numbers.

Eric Weisstein's World of Mathematics, Smith number.

Wikipedia, Smith number.

A. Wilansky, Smith Numbers, Two-Year College Math. J. 13(1) (1982), p. 21.

Amin Witno, Another simple construction of Smith numbers, Missouri J. Math. Sci. 22(2) (2010), 97-101.

Amin Witno, Smith multiples of a class of primes with small digital sum, Thai Journal of Mathematics 14(2) (2016), 491-495.

Example

a(4) = 636 because 636 is the smallest Smith number with 4 prime factors.

Crossrefs

Cf. A006753, A104169.

Sequence in context: A197987 A133018 A210343 * A197990 A362838 A068327

Adjacent sequences: A104165 A104166 A104167 * A104169 A104170 A104171

Keyword

nonn,base

Author

Shyam Sunder Gupta, Mar 10 2005 and May 03 2005

Extensions

a(28)-a(31) from Donovan Johnson, Jan 02 2013

a(32)-a(37) from Max Alekseyev, Oct 01 2024

Status

approved