: Mathématiques: smooth number

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smooth number

In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is a number whose every prime factor is at most 7, so 49 = 7² and 15750 = 2 × 3² × 5³ × 7 are both 7-smooth, while 11 and 702 = 2 × 3³ × 13 are not 7-smooth. The term seems to have been coined by Leonard Adleman. Smooth numbers are especially important in cryptography, which relies on factorization of integers. The 2-smooth numbers are just the powers of 2, while 5-smooth numbers are known as regular numbers.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Smooth_number)

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