Find the number of solutions to the system of congruences
\begin{align}
N &\equiv 2 \pmod{5}, \\
N &\equiv 2 \pmod{6}, \\
N &\equiv 2 \pmod{11}
\end{align}
in the interval $0 \le N < 1000.$

Question

03-07-2024
Mathematics

Answered

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Find the number of solutions to the system of congruences
\begin{align}
N &\equiv 2 \pmod{5}, \\
N &\equiv 2 \pmod{6}, \\
N &\equiv 2 \pmod{11}
\end{align}
in the interval $0 \le N < 1000.$

Sagot :

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Find the number of solutions to the system of congruences \begin{align*} N &\equiv 2 \pmod{5}, \\ N &\equiv 2 \pmod{6}, \\ N &\equiv 2 \pmod{11} \end{align*} in the interval $0 \le N < 1000.$

Sagot :

Other Questions

Find the number of solutions to the system of congruences
\begin{align}
N &\equiv 2 \pmod{5}, \\
N &\equiv 2 \pmod{6}, \\
N &\equiv 2 \pmod{11}
\end{align}
in the interval $0 \le N < 1000.$