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