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National and Regional Contests
Greece Contests
Greece JBMO TST
2005 Greece JBMO TST
4
4
Part of
2005 Greece JBMO TST
Problems
(1)
find n >=3 such that n | (n-2)!
Source: Greece JBMO TST 2005 p4
6/16/2019
Find all the positive integers
n
,
n
≥
3
n , n\ge 3
n
,
n
≥
3
such that
n
∣
(
n
−
2
)
!
n\mid (n-2)!
n
∣
(
n
−
2
)!
number theory
divides
factorial