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Published online by Cambridge University Press: 01 August 2016
Given any positive real number r there will exist some positive real numbers r1, r2,…,rn all less than 4 with
That surprising ‘simultaneous factorisation’ is established in this article. It is based on some fuller work which I did a couple of years ago, but the interest in it was revived when Nick Mackinnon’s and Nick Lord’s work on ‘Sums equal to products’ was published in the March 1986 Gazette.