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What is the smallest prime divisor of 3^{11} + 5^7 + 1?

 Apr 21, 2021
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Oh ok, not that hard.
\(3^{11}+5^7+1=255273\)

 

It's divisible by 3 because:
\(2+5+5+2+7+3=24\)

and 24 is divisible by 3.

So the answer is \(\boxed{3}.\)

 Apr 21, 2021

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