On factoring of unlimited integers

Karel Hrbacek

Abstract


Abdelmadjid Boudaoud asked whether every unlimited integer is a sum of a limited integer and a product of two unlimited integers. Assuming Dickson's conjecture, the answer is negative.

Keywords


factoring of integers, nonstandard analysis, unlimited integers, Dickson’s conjecture

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DOI: https://doi.org/10.4115/jla.2020.12.5

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Journal of Logic and Analysis ISSN:  1759-9008