ARITHMETIC PROGRESSIONS OF INTEGERS THAT ARE RELATIVELY PRIME TO THEIR DIGITAL SUMS

Rocky Mountain Journal of Mathematics 2026 Open access

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Authors: Ryan Blau, Joshua Harrington, Sarah Lohrey, Eliel Sosis, Tony W. H. Wong
DOI: 10.1216/rmj.2026.56.13
Cited by: 0
References: 5

Abstract

For an integer b≥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. We investigate the maximum lengths of arithmetic progressions of b-anti-Niven numbers.

Fields of Study & Subjects

Computability Logic AI Algorithms Digital Image Processing Techniques Analytic Number Theory Research

Publication details

Journal / source
Rocky Mountain Journal of Mathematics
Volume
56
Issue
1
Publication date
1 February 2026
Language
EN