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(m+n+p)/m+n) where m,n,p in {2,3,.., 9} (2016 Auckland MO J4)

Source:

November 13, 2021

algebranumber theory

Problem Statement

m, n

, and

p

are three different natural numbers, each between

2

and

9

, what then are all the possible integer value(s) of the expression

\frac{m+n+p}{m+n}