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$a, b, c$ are three positive integers such that $a^2+1=2b^2, 2a^2+1=11c^2$. What will be the remainder when $b$ is divided by $17$.
Number Theory
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$a, b, c$ are three positive integers such that $a^2+1=2b^2, 2a^2+1=11c^2$. What will be the remainder when $b$ is divided by $17$.