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x^3+2023xy+y^3 is CRS mod p?

Source: Malaysian IMO TST 2024 P3

April 21, 2024
number theory

Problem Statement

Find all primes pp such that for any integer kk, there exist two integers xx and yy such that x3+2023xy+y3≡k(modp)x^3+2023xy+y^3 \equiv k \pmod p
Proposed by Tristan Chaang Tze Shen
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