examples of smooth numbers
If a number is -smooth, it is also a smooth number for smaller . So, to give just a handful of examples of smooth numbers for a few different values of , the following table only goes up to 100, and for , only those numbers not already listed for smaller are given. Also, the 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 | 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 |