Author(s)

Catalin Nitica¹, Viorel Nitica²

¹Technical College Dimitrie Leonida, Bucharest, Romania.
²Department of Mathematics, West Chester University, West Chester, USA.

Let b ≥ 2 be a numeration base. A b-weak additive Ramanujan-Hardy (or b-wARH) number N is a non-negative integer for which there exists at least one non-negative integer A, such that the sum of A and the sum of base b digits of N, added to the reversal of the sum, give N. We say that a pair of such numbers are related of degrees d ≥ 0 if their difference is d. We show for all numeration bases an infinity of degrees d for which there exists an infinity of pairs of b-wARH numbers related of degree d.

Palindrome, Integer Number Theory, Numeration Base

Nitica, C. and Nitica, V. (2020) Infinite Sets of Related b-wARH Pairs. Open Journal of Discrete Mathematics, 10, 1-3. doi: 10.4236/ojdm.2020.101001.