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2021 USMCA
9
2021 USMCA National Championship #9
2021 USMCA National Championship #9
Source:
May 9, 2021
Problem Statement
For how many two-digit integers
n
n
n
is
13
∣
1
−
2
n
−
3
n
+
5
n
13 \mid 1 - 2^n - 3^n + 5^n
13
∣
1
−
2
n
−
3
n
+
5
n
?
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