True or True #12

Number Theory Level 3

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

Provided that m m is nonnegative integer.

Dont choose me False True I dont know

Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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1 solution

If m = 0 m = 0 the whole expression is odd. So, for m = 0 m = 0 the smallest prime factor is not 2 2 .

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