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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
111
111
Part of
PEN A Problems
Problems
(1)
A 111
Source:
5/25/2007
Find all natural numbers
n
n
n
such that the number
n
(
n
+
1
)
(
n
+
2
)
(
n
+
3
)
n(n+1)(n+2)(n+3)
n
(
n
+
1
)
(
n
+
2
)
(
n
+
3
)
has exactly three different prime divisors.
Divisibility Theory