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1967 Polish MO Finals
1
L_n = (n+1)(n+2) ... 2n
L_n = (n+1)(n+2) ... 2n
Source: 1967 Polish MO Finals p1
August 27, 2024
number theory
power of 2
Problem Statement
Find the highest power of 2 that is a factor of the number
L
n
=
(
n
+
1
)
(
n
+
2
)
.
.
.
2
n
,
L_n = (n+1)(n+2)... 2n,
L
n
=
(
n
+
1
)
(
n
+
2
)
...2
n
,
where
n
n
n
is a natural number.
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