Niven's constant
id:
niven-s-constant-262-8429553
title:
Niven's constant
text:
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 by where ζ is the Riemann zeta function. In the same paper Niven also proved that where h(1) = 1, h(n) = the smallest exponent appearing in the unique prime factorizatio
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https://en.wikipedia.org/wiki/Niven%27s_constant
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date modified:
2021-11-04T22:41:17Z
main entity:
{"identifier":"Q1113025","url":"https://www.wikidata.org/entity/Q1113025"}
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