Strongly smooth number - Revision history

Vipul at 03:03, 29 April 2009

2009-04-29T03:03:27Z

← Older revision		Revision as of 03:03, 29 April 2009
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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==

Vipul at 03:03, 29 April 2009

2009-04-29T03:03:09Z

← Older revision		Revision as of 03:03, 29 April 2009
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	==Definition==		==Definition==

	A [[natural number]] <math>n</math> is termed '''strongly <math>k</math>-smooth''' for some natural number <math>k</math> if ~~every~~ prime power that divides <math>n</math> is less than or equal to <math>k</math>.		A [[natural number]] <math>n</math> is termed '''strongly <math>k</math>-smooth''' for some natural number <math>k</math> if it satisfies the following equivalent conditions:

			* 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>.

	==Relation with other properties==		==Relation with other properties==

Vipul: Created page with '{{size measure on natural number}} ==Definition== A natural number $n$ is termed '''strongly $k$ -smooth''' for some natural number $k$ if e...'

2009-03-21T23:21:51Z

Created page with '{{size measure on natural number}} ==Definition== A natural number <math>n</math> is termed '''strongly <math>k</math>-smooth''' for some natural number <math>k</math> if e...'

New page

{{size measure on natural number}}

==Definition==

A [[natural number]] <math>n</math> is termed '''strongly <math>k</math>-smooth''' for some natural number <math>k</math> if every prime power that divides <math>n</math> is less than or equal to <math>k</math>.

==Relation with other properties==

===Weaker properties===

* [[Stronger than::Smooth number]]

Strongly smooth number - Revision history

Vipul at 03:03, 29 April 2009

Vipul at 03:03, 29 April 2009

Vipul: Created page with '{{size measure on natural number}} ==Definition== A natural number n is termed '''strongly k-smooth''' for some natural number k if e...'

Vipul: Created page with '{{size measure on natural number}} ==Definition== A natural number $n$ is termed '''strongly $k$ -smooth''' for some natural number $k$ if e...'