设n=2011n(n+1)(n+2)(n+3)+1={n(n+3)}{(n+1)(n+2)}+1=(n²+3n)(n²+3n+2)+1=(n²+3n)²+2(n²+3n)+1=(n²+3n+1)²所以 2011X2012X2013X2014+1为完全平方数实际上任意4个连续数相乘+1 都...