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- Niven's_constant abstract "In number theory, Niven's constant, named after Ivan Niven, is the largest exponent appearing in the prime factorization of any natural number n "on average". More precisely, if we define H(1) = 1 and H(n) = the largest exponent appearing in the unique prime factorization of a natural number n > 1, then Niven's constant is given bywhere ζ(k) is the value of the Riemann zeta function at the point k (Niven, 1969).In the same paper Niven also proved thatwhere h(1) = 1, h(n) = the smallest exponent appearing in the unique prime factorization of each natural number n > 1, o is little o notation, and the constant c is given byand consequently that".
- Niven's_constant wikiPageID "9808147".
- Niven's_constant wikiPageRevisionID "592656474".
- Niven's_constant hasPhotoCollection Niven's_constant.
- Niven's_constant title "Niven's Constant".
- Niven's_constant urlname "NivensConstant".
- Niven's_constant subject Category:Mathematical_constants.
- Niven's_constant subject Category:Number_theory.
- Niven's_constant type Abstraction100002137.
- Niven's_constant type Cognition100023271.
- Niven's_constant type Concept105835747.
- Niven's_constant type Constant105858936.
- Niven's_constant type Content105809192.
- Niven's_constant type Idea105833840.
- Niven's_constant type MathematicalConstants.
- Niven's_constant type PsychologicalFeature100023100.
- Niven's_constant type Quantity105855125.
- Niven's_constant comment "In number theory, Niven's constant, named after Ivan Niven, is the largest exponent appearing in the prime factorization of any natural number n "on average".".
- Niven's_constant label "Niven's constant".
- Niven's_constant label "Niven-Konstante".
- Niven's_constant sameAs Niven-Konstante.
- Niven's_constant sameAs m.02psvn0.
- Niven's_constant sameAs Q1113025.
- Niven's_constant sameAs Q1113025.
- Niven's_constant sameAs Niven's_constant.
- Niven's_constant wasDerivedFrom Niven's_constant?oldid=592656474.
- Niven's_constant isPrimaryTopicOf Niven's_constant.