MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2012 India PRMO
11
2012 preRMO p11, largest divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)
2012 preRMO p11, largest divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)
Source:
June 16, 2019
number theory
Problem Statement
Let
P
(
n
)
=
(
n
+
1
)
(
n
+
3
)
(
n
+
5
)
(
n
+
7
)
(
n
+
9
)
P(n) = (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)
P
(
n
)
=
(
n
+
1
)
(
n
+
3
)
(
n
+
5
)
(
n
+
7
)
(
n
+
9
)
. What is the largest integer that is a divisor of
P
(
n
)
P(n)
P
(
n
)
for all positive even integers
n
n
n
?
Back to Problems
View on AoPS