If \( P(n): 2 \times 4^{2 n+1}+3^{3 n+1} \) is divisible by \( \lambda \) for all \( n \in N \) ...

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If \( P(n): 2 \times 4^{2 n+1}+3^{3 n+1} \) is divisible by \( \lambda \) for all \( n \in N \) is true, then find the value of \( \lambda_{0} \)
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