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National and Regional Contests
PEN Problems
PEN H Problems
10
10
Part of
PEN H Problems
Problems
(1)
H 10
Source:
5/25/2007
Prove that there are unique positive integers
a
a
a
and
n
n
n
such that
a
n
+
1
ā
(
a
+
1
)
n
=
2001.
a^{n+1}-(a+1)^{n}= 2001.
a
n
+
1
ā
(
a
+
1
)
n
=
2001.
modular arithmetic
Diophantine Equations
pen