# 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 numbers. Obviously the 2-smooth numbers are the powers of two.

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