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arXiv · 2308.05228

Arithmetic progressions of integers that are relatively prime to their digital sums

Ryan Blau·Joshua Harrington·Sarah Lohrey·Eliel Sosis·Tony W. H. Wong
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Abstract

For an integer $b\geq 2$, we call a positive integer $b$-anti-Niven if it is relatively prime to the sum of the digits in its base-$b$ representation. In this article, we investigate the maximum lengths of arithmetic progressions of $b$-anti-Niven numbers.

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Ryan Blau, Joshua Harrington, Sarah Lohrey, Eliel Sosis, Tony W. H. Wong. 2023-08-09. Arithmetic progressions of integers that are relatively prime to their digital sums. https://doi.org/10.1216/rmj.2026.56.13

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