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

Abstract

For an integer $b\ge 2$, 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.

Cited by in corpus (1)

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