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A=3顯然是解,因3,19,23都是質數. 下麵證明沒有大於3的解. 質數大於3時,只能為6N+1或6N-1的形式 若為6N+1時,A+20=6N+21=3(2N+7)為合數 若為6N-1時,A+16=6N+15=3(2N+5)為合數 囙此沒有大於3的解.
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