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naturals in form (a+b+c)^2/(abc) where a,b,c \in N

Source: Switzerland - Swiss TST 2004 p12

February 18, 2020
naturalsnumber theory

Problem Statement

Find all natural numbers which can be written in the form (a+b+c)2abc\frac{(a+b+c)^2}{abc} , where a,b,c∈Na,b,c \in N.
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