examples of smooth numbers


If a number is k-smooth, it is also a smooth number for smaller k. So, to give just a handful of examples of smooth numbers for a few different values of k, the following table only goes up to 100, and for k>2, only those numbers not already listed for smaller k are given. Also, the k have been limited to prime numbersMathworldPlanetmath. Obviously the 2-smooth numbers are the powers of two.

2 1, 2, 4, 8, 16, 32, 64
3 3, 6, 9, 12, 18, 24, 27, 36, 48, 54, 64, 72, 81, 96
5 5, 10, 15, 20, 25, 30, 40, 45, 50, 60, 75, 80, 90, 100
7 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 84, 98
11 11, 22, 33, 44, 55, 66, 77, 88, 99
13 13, 26, 39, 52, 65, 78, 91
17 17, 34, 51, 68, 85
19 19, 38, 57, 57, 76, 95
Title examples of smooth numbers
Canonical name ExamplesOfSmoothNumbers
Date of creation 2013-03-22 18:10:25
Last modified on 2013-03-22 18:10:25
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Example
Classification msc 11A05