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arXiv · 2303.06534

Every arithmetic progression contains infinitely many $b$-Niven numbers

Joshua Harrington·Matthew Litman·Tony W. H. Wong
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Abstract

For an integer $b\geq 2$, a positive integer is called a $b$-Niven number if it is a multiple of the sum of the digits in its base-$b$ representation. In this article, we show that every arithmetic progression contains infinitely many $b$-Niven numbers.

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Joshua Harrington, Matthew Litman, Tony W. H. Wong. 2023-03-12. Every arithmetic progression contains infinitely many $b$-Niven numbers. https://doi.org/10.1017/s0004972723000758

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