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Romania Team Selection Test
1994 BMO TST – Romania
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1994 BMO TST – Romania
Problems
(1)
problem 1:bmo TST
Source: Romania TST for BMO 1994,first problem
9/6/2017
Prove that if
n
n
n
is a square-free positive integer, there are no coprime positive integers
x
x
x
and
y
y
y
such that
(
x
+
y
)
3
(x + y)^3
(
x
+
y
)
3
divides
x
n
+
y
n
x^n+y^n
x
n
+
y
n
number theory