Find the smallest positive integer $N$ that satisfies the system of congruences
\begin{align}
N &\equiv 2 \pmod{3}, \\
N &\equiv 2 \pmod{7}, \\
N &\equiv 2 \pmod{10}.
\end{align}

Question

04-07-2024
Mathematics

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Find the smallest positive integer $N$ that satisfies the system of congruences
\begin{align}
N &\equiv 2 \pmod{3}, \\
N &\equiv 2 \pmod{7}, \\
N &\equiv 2 \pmod{10}.
\end{align}

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