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P1

Part of 2024 Israel Olympic Revenge

Problems(1)

All primes are non-residues

Source: 2024 Israel Olympic Revenge P1

6/20/2024
Find all primes pp, so that for every prime q<pq<p and x∈Zx\in \mathbb{Z} one has p∤x2−qp\nmid x^2-q.
number theory