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21
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BMT 2021 General p21
Source:
September 27, 2023
number theory
algebra
Problem Statement
There exist integers
a
a
a
and
b
b
b
such that
(
1
+
2
)
12
=
a
+
b
2
(1 +\sqrt2)^{12}= a + b\sqrt2
(
1
+
2
)
12
=
a
+
b
2
. Compute the remainder when
a
b
ab
ab
is divided by
13
13
13
.
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