Competition problem — Number theory

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Number theory Difficulty 5.3 AIME, harder Find the answer

35. Find the solutions of $x^{2} \equiv 482(\bmod 2773)($ note that $2773=47 \cdot 59)$ .

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.