Original scientific paper

Some representations of unlimited natural numbers

Bellaouar Djamel ; Department of Mathematics, University 08 Mai 1945 Guelma, Guelma, Algeria
Boudaoud Abdelmadjid ; Laboratory of Pure and Applied Mathematics (LMPA), University of M’sila, , Algeria

Abstract

Based on the work of K. Hrbacek [12], we prove that every unlimited natural number ω is of the form ω=ω₁⋅ω₂+ω₃⋅ω₄ in at least k different ways (k≥1 is limited), where ω_{i}∈N is unlimited and ω_{i}/ω_{j} is appreciable for 1≤i,j≤4. Other similar representations of unlimited natural numbers are also presented.

Keywords

factoring of integers, nonstandard analysis, unlimited integer

Hrčak ID:

309009

URI

https://hrcak.srce.hr/309009

Publication date:

22.10.2023.

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