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2008 Tournament Of Towns
4
2008 ToT Spring Junior O P4 (n + 1)! divisible by 1! + 2! + ... + n!
2008 ToT Spring Junior O P4 (n + 1)! divisible by 1! + 2! + ... + n!
Source:
March 7, 2020
number theory
factorial
divisible
Problem Statement
Find all positive integers
n
n
n
such that
(
n
+
1
)
!
(n + 1)!
(
n
+
1
)!
is divisible by
1
!
+
2
!
+
.
.
.
+
n
!
1! + 2! + ... + n!
1
!
+
2
!
+
...
+
n
!
.
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