1.令n=7k(k∈Z),即n是7的倍数,那么n^2+5n+7=49k^2+35k+7=7(7k^2+5k+1)是合数
2.令n=13t+1(t∈Z),那么n^2+5n+7=169t^2+26t+1+65t+5+7=169t^2+91t+13
=13(13t^2+7t+1)是13的倍数
1.令n=7k(k∈Z),即n是7的倍数,那么n^2+5n+7=49k^2+35k+7=7(7k^2+5k+1)是合数
2.令n=13t+1(t∈Z),那么n^2+5n+7=169t^2+26t+1+65t+5+7=169t^2+91t+13
=13(13t^2+7t+1)是13的倍数