Strongly smooth number: Difference between revisions
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* Every prime power that divides <math>n</math> is less than or equal to <math>k</math>. | * Every prime power that divides <math>n</math> is less than or equal to <math>k</math>. | ||
* The [[largest prime power divisor]] of <math>n</math> is less than or equal to <math>k</math>. | * The [[defining ingredient::largest prime power divisor]] of <math>n</math> is less than or equal to <math>k</math>. | ||
==Relation with other properties== | ==Relation with other properties== | ||
Latest revision as of 03:03, 29 April 2009
Template:Size measure on natural number
Definition
A natural number is termed strongly -smooth for some natural number if it satisfies the following equivalent conditions:
- Every prime power that divides is less than or equal to .
- The largest prime power divisor of is less than or equal to .