Representation of unlimited integers as the product of integers with some constraints

Bellaouar Djamel, Boudaoud Abdelmadjid

Abstract


For two unlimiteWe say that two unlimited natural numbers x and y have the same order if x/y is appreciable. As a continuation of our subsequent paper [4], we study the representation of unlimited natural numbers as the sum of a limited integer and the product of at least two coprime unlimited natural numbers having the same order.

Keywords


Representation of integers, Internal set theory, Dickson’s conjecture, Greatest common divisor, Prime numbers, Factorization, appreciable rational

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DOI: https://doi.org/10.4115/jla.2025.17.7

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Journal of Logic and Analysis ISSN: 1759-9008