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因為m+3n+5-(m+3n)=3n(35-1)=242×3n=11×22×3n,所以m+3n+5=m+3n+11×22×3n,由於m+3n能被11整除,所以m+3n+11×22×3n也能被11整除,故m+3n+5能被11整除.
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