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Published online by Cambridge University Press: 03 November 2016
In a recent competition (see M.R. 23 (1962), A1482) it was required to show that the set {2, 3, 4} has the property, here called Pv  that every number x in (0, 1] (i.e. 0 < x ≤ 1) can be expressed in the form  , where m 1 is an integer and
, where m 1 is an integer and  belongs to the set for all i.
 belongs to the set for all i.