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Prove that \(5^{3^n} + 1\) is divisible by \(3^{n + 1}\)for all nonnegative integers. 
 

 Jul 3, 2022
 #1
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Hint from another website:

 

\(5^3^k+1 + 1 = (5^3^k)^3 + 1 = (5^3^k+1)(5^2⋅3k − 5^3k+1)\)

 

 

 

 

 

-nerdiest.

 Jul 3, 2022

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