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

Abstract

For an integer $b\ge 2$, 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.

9 pages

References in corpus (1)

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