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1!+2!+...+n! is a perfect power - [Iran Second Round 1986]
1!+2!+...+n! is a perfect power - [Iran Second Round 1986]
Source:
August 9, 2010
modular arithmetic
number theory
number theory unsolved
Problem Statement
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.
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