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If you type those inputs
8132 ^ 21302
into Wolfram:https://www.wolframalpha.com/input?i=8132+%5E+21302
you can scroll down and see under "Last few decimal digits":
...4122599424
.So since the full number ends in
4
, then the remaindermod 5
will be4
also in this case. So4
seems correct on Wolfram for the inputs8132 ^ 21302
edit - here is the direct link for Wolfram language
mod
operator - https://www.wolframalpha.com/input?i=%288132+%5E+21302%29+mod+5 where the answer is also given as4
so I don't know where you are reading0
as the answer given on that site?