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Problems
Contests
International Contests
IMO Longlists
1971 IMO Longlists
11
11
Part of
1971 IMO Longlists
Problems
(1)
1!+2!+...+n! is a perfect power - [Iran Second Round 1986]
Source:
8/9/2010
Find all positive integers
n
n
n
for which the number
1
!
+
2
!
+
3
!
+
⋯
+
n
!
1!+2!+3!+\cdots+n!
1
!
+
2
!
+
3
!
+
⋯
+
n
!
is a perfect power of an integer.
modular arithmetic
number theory
number theory unsolved