Types of integer harmonic numbers

Authors

  • A. Manea Transilvania University of Brasov, Romania
  • N. Minculete Transilvania University of Brasov, Romania

Keywords:

harmonic numbers, bi-unitary harmonic numbers

Abstract

In [11], J. Sandor presented in a table all 211 bi-unitary harmonic numbers up to 109. In the present paper, we obtain several bi-unitary harmonic numbers which are higher than 109, using the Mersenne prime numbers. We also investigate bi-unitary harmonic numbers of some particular forms. Thus, we extend the study done by J. Sandor.

Author Biographies

A. Manea, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics 

N. Minculete, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2015-12-09

Issue

Section

MATHEMATICS