Every arithmetic progression contains infinitely many \(b\)-Niven numbers (Q6564325)
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scientific article; zbMATH DE number 7873461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Every arithmetic progression contains infinitely many \(b\)-Niven numbers |
scientific article; zbMATH DE number 7873461 |
Statements
Every arithmetic progression contains infinitely many \(b\)-Niven numbers (English)
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1 July 2024
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A positive integer is a \(b\)-Niven number (or b-harshad number) if it is a multiple of the sum of the digits of its base-\(b\) representation. The paper under review mainly proves that every arithmetic progression contains infinitely many \(b\)-Niven numbers.
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Niven number, arithmetic progression
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