Another simple construction of Smith numbers (Q710353)
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scientific article; zbMATH DE number 5802218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another simple construction of Smith numbers |
scientific article; zbMATH DE number 5802218 |
Statements
Another simple construction of Smith numbers (English)
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19 October 2010
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Let \(S(n)\) be the sum of digits of the natural number \(n\), \(S_p(n)\) the sum of the sum of digits of the prime factors of \(n\), counting multiplicity. A composite number \(n\) is called a Smith number if \(S(n)=S_p(n)\). The author proves that for any prime \(P>5\) with \(S(P)=5\), the numbers \(21P\) and \(112P\) are Smith numbers.
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sum of digits
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Smith numbers
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