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47 divides sum ab, if a,b \in 1-46 , 2022 Chile NMO L1 P4 - Juniors

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October 22, 2022
number theorydivides

Problem Statement

Let SS be the sum of all products abab where aa and bb are distinct elements of the set {1,2,...,46}\{1,2,...,46\}. Prove that 4747 divides SS.
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