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The number is divisiblr by 112 for every m - ILL 1990 THA1
The number is divisiblr by 112 for every m - ILL 1990 THA1
Source:
September 19, 2010
number theory proposed
number theory
Problem Statement
Let
m
m
m
be an positive odd integer not divisible by
3
3
3
. Prove that
[
4
m
−
(
2
+
2
)
m
]
\left[4^m -(2+\sqrt 2)^m\right]
[
4
m
−
(
2
+
2
)
m
]
is divisible by
112.
112.
112.
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