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[parent] examples of smooth numbers (Example)

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 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



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Cross-references: powers of two, prime numbers, smooth number, number

This is version 1 of examples of smooth numbers, born on 2008-07-02.
Object id is 10738, canonical name is ExamplesOfSmoothNumbers.
Accessed 129 times total.

Classification:
AMS MSC11A05 (Number theory :: Elementary number theory :: Multiplicative structure; Euclidean algorithm; greatest common divisors)

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