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1987 IMO Longlists
54
54
Part of
1987 IMO Longlists
Problems
(1)
IMO LongList 1987 - Diophantine equation
Source:
9/6/2010
Let
n
n
n
be a natural number. Solve in integers the equation
x
n
+
y
n
=
(
x
ā
y
)
n
+
1
.
x^n + y^n = (x - y)^{n+1}.
x
n
+
y
n
=
(
x
ā
y
)
n
+
1
.
modular arithmetic
number theory unsolved
number theory