# True or True #12

Number Theory Level 3

True or False: The integer $$2$$ is always the smallest prime factor of $\large{ 2^m + 3^{4^{m}} + 4^{5^{6^{m}}} + 5^{6^{7^{8^{m}}}}}$.

Provided that $$m$$ is nonnegative integer.

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