Let x=a (mod m) and x=b (mod n) be two congruences then what is a condition that the system of congruences has 1. Finitely many solutions 2.Infinity many solutions 3. No solution 4.Unique solution. My attempt:I restrict x then it has unique solution by Chinese remainder theorem. I have no idea about the others. Please help me.
2026-05-15 09:41:26.1778838086
A problem based on number theory
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