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MMATHS 2023 Individual Problem 8: Integer pairs that satisfy congruence

Source:

September 24, 2024
YaleMMATHS

Problem Statement

Find the number of ordered pairs of integers (m,n)(m,n) such that 0≤m,n≤20230 \le m,n \le 2023 and m2≡∑d∣2023nd(mod2024).m^2 \equiv \sum_{d \mid 2023} n^d \pmod{2024}.
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