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粗糙数

k-粗糙数是由数学家Finch在2001年及2003年所定义,是指一个正整数素因数都大于等于k。例如所有的整数均为2-粗糙数,每一个奇数均为3-粗糙数,每一个和1或5同余模6的整数均为5-粗糙数。

另一个类似的概念是光滑数,k-光滑数是指一个正整数素因数都小于等于k,一个整数可以既不是k-粗糙数,也不是k-光滑数,例如21 = 3×7,因为21有素因数7大于5,因此不是5-光滑数,21有素因数3小于5,因此21也不是5-粗糙数。

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粗糙数
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