MathDB
Problems
Contests
International Contests
IMO Longlists
1987 IMO Longlists
54
IMO LongList 1987 - Diophantine equation
IMO LongList 1987 - Diophantine equation
Source:
September 6, 2010
modular arithmetic
number theory unsolved
number theory
Problem Statement
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
.
Back to Problems
View on AoPS