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1963 Swedish Mathematical Competition.
3
remainder of 1234^{567} + 89^{1011} when divided by 12
remainder of 1234^{567} + 89^{1011} when divided by 12
Source: 1963 Swedish Mathematical Competition p3
March 21, 2021
number theory
remainder
Problem Statement
What is the remainder on dividing
123
4
567
+
8
9
1011
1234^{567} + 89^{1011}
123
4
567
+
8
9
1011
by
12
12
12
?
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