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2012 BMT Spring
3
Sprind Round (2012) #3
Sprind Round (2012) #3
Source:
December 3, 2012
Problem Statement
Find the largest prime factor of
1
∑
n
=
1
∞
2012
n
(
n
+
1
)
(
n
+
2
)
(
n
+
3
)
…
(
n
+
2012
)
\frac{1}{\sum_{n=1}^\infty \frac{2012}{n(n+1)(n+2)(n+3)\dots(n+2012)}}
∑
n
=
1
∞
n
(
n
+
1
)
(
n
+
2
)
(
n
+
3
)
…
(
n
+
2012
)
2012
1
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