The discussion centers on solving the Chinese Remainder Theorem problem, specifically finding the set of solutions \(x = x(r,s,t)\) such that \((r + 2\mathbb{N}) \cap (s + 3\mathbb{N}) \cap (t + 5\mathbb{N}) = x + n\mathbb{N}\). Participants clarified that \(n\) is defined as the least common multiple of the moduli, which is \(n = \text{lcm}(2, 3, 5) = 30\). This establishes the framework for determining the intersection of the specified arithmetic progressions.
PREREQUISITESMathematicians, students studying number theory, and anyone interested in solving modular arithmetic problems using the Chinese Remainder Theorem.
Euge said:Hi Julio,
Could you specify what $n$ is? Is it $30$?