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2021 MMATHS
3
MMATHS 2021, TB Problem 3: Log Product
MMATHS 2021, TB Problem 3: Log Product
Source:
October 31, 2021
Yale
MMATHS
Problem Statement
Find the sum of all
x
x
x
from
2
2
2
to
1000
1000
1000
inclusive such that
∏
n
=
2
x
log
n
n
(
n
+
1
)
n
+
2
\prod_{n=2}^x \log_{n^n}(n+1)^{n+2}
n
=
2
∏
x
lo
g
n
n
(
n
+
1
)
n
+
2
is an integer.Proposed by Deyuan Li and Andrew Milas
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