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Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
64
64
Part of
PEN H Problems
Problems
(1)
H 64
Source:
5/25/2007
Show that there is no positive integer
k
k
k
for which the equation
(
n
ā
1
)
!
+
1
=
n
k
(n-1)!+1=n^{k}
(
n
ā
1
)!
+
1
=
n
k
is true when
n
n
n
is greater than
5
5
5
.
Diophantine Equations