Largest prime factor (Q687586)
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scientific article; zbMATH DE number 433093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Largest prime factor |
scientific article; zbMATH DE number 433093 |
Statements
Largest prime factor (English)
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19 October 1993
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Let \(P(n)\) be the largest prime factor of an integer \(n\), \(L(n)\) the number of \(k\leq n\) such that \(P(k)<\sqrt{k}\), and \(S(n)= \sum_{k=1}^ n P(k)/k\). The author proves that \(\lim(\log n/n)S(n)=\xi(2)\) and \(\lim 1/n L(n)=\log 2\). The methods used here are elementary.
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largest prime factor
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