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10
2014 Advanced #10
2014 Advanced #10
Source:
July 1, 2022
2014
Advanced Topics Test
Problem Statement
Find the remainder when
(
1
2
+
1
)
(
2
2
+
1
)
(
3
2
+
1
)
…
(
4
2
2
+
1
)
(1^2+1)(2^2+1)(3^2+1)\dots(42^2+1)
(
1
2
+
1
)
(
2
2
+
1
)
(
3
2
+
1
)
…
(
4
2
2
+
1
)
is divided by
43
43
43
. Your answer should be an integer between
0
0
0
and
42
42
42
.
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