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Baltic Way
2016 Baltic Way
3
3
Part of
2016 Baltic Way
Problems
(1)
Diophantine equation with parameter
Source: Baltic Way 2016, Problem 3
11/5/2016
For which integers
n
=
1
,
…
,
6
n = 1, \ldots , 6
n
=
1
,
…
,
6
does the equation
a
n
+
b
n
=
c
n
+
n
a^n + b^n = c^n + n
a
n
+
b
n
=
c
n
+
n
have a solution in integers?
number theory
Diophantine equation