MathDB
Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
2004 Switzerland Team Selection Test
12
12
Part of
2004 Switzerland Team Selection Test
Problems
(1)
naturals in form (a+b+c)^2/(abc) where a,b,c \in N
Source: Switzerland - Swiss TST 2004 p12
2/18/2020
Find all natural numbers which can be written in the form
(
a
+
b
+
c
)
2
a
b
c
\frac{(a+b+c)^2}{abc}
ab
c
(
a
+
b
+
c
)
2
, where
a
,
b
,
c
∈
N
a,b,c \in N
a
,
b
,
c
∈
N
.
naturals
number theory