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Problem
#PRU-100293
Problems
Methods
Proof by contradiction
Problem
Let
n
!
=
n
×
(
n
−
1
)
×
(
n
−
2
)
×
⋯
×
2
×
1
. Prove that if
n
!
+
1
is divisible by
n
+
1
, then
n
+
1
is a prime number.
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