Can you find the first digit of
2^2^2^2^2^2^2?
(Basicly,it is $2$ to the $2$ to the $65536$ power)
You cannot use a computer,but allowed to use a calculator.
Good luck!
This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2023. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door >
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