Difference of the digital sums of an integer base b and its prime factors (Q1120610)
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scientific article; zbMATH DE number 4101282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Difference of the digital sums of an integer base b and its prime factors |
scientific article; zbMATH DE number 4101282 |
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Difference of the digital sums of an integer base b and its prime factors (English)
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1989
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Answering a question posed by A. Wilansky, the author investigates the sets \(I_ b(c)\) of all composite integers m, such that \(S_ p(b,m)- S(b,m)=c\). Here S(b,m) denotes the sum of digits of m in base b and \(S_ p(b,m)=\sum_{i}S(b,p_ i)\), where \(m=\prod_{i}p_ i\), with primes \(p_ i\).
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sum of digits function
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