On factoring of unlimited integers

Abstract

A. 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. The erroneous proof of claim (2) on page 5 of the published version is replaced by a correct one (see pages 6 - 7) and an answer to another question of Boudaoud and Bellaouar is given. \end{abstract}