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(a*b)÷c的餘數=(a÷c的餘數)*(b÷c的餘數) 5^100=25^50,除以7餘數為4^50 4^50=16^25,除以7餘數為2^25 2^25=32^5,除以7餘數為4^5 4^5=16*64,除以7餘數為2*1=2 所以 5^100除以7餘數為2 所以週三過5^100天后是星期五
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