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A curious factorisation

Published online by Cambridge University Press:  01 August 2016

T. O. Adewoye*
Affiliation:
Department of Mathematics, University of Ibadan, Nigeria

Extract

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.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1987

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