| 1 |
| n2+n |
| 1 |
| n |
| 1 |
| n+1 |
∴
| 1 |
| m2+m |
| 1 |
| (m+1)2+(m+1) |
| 1 |
| n2+n |
=
| 1 |
| m |
| 1 |
| m+1 |
| 1 |
| m+1 |
| 1 |
| m+2 |
| 1 |
| n |
| 1 |
| n+1 |
=
| 1 |
| m |
| 1 |
| n+1 |
| 1 |
| 23 |
| 22 |
| 23×22 |
∴m=22，n+1=23×22=506，n=505，
m+n=527．
| 1 |
| m2+m |
| 1 |
| (m+1)2+(m+1) |
| 1 |
| n2+n |
| 1 |
| 23 |
| 1 |
| n2+n |
| 1 |
| n |
| 1 |
| n+1 |
| 1 |
| m2+m |
| 1 |
| (m+1)2+(m+1) |
| 1 |
| n2+n |
| 1 |
| m |
| 1 |
| m+1 |
| 1 |
| m+1 |
| 1 |
| m+2 |
| 1 |
| n |
| 1 |
| n+1 |
| 1 |
| m |
| 1 |
| n+1 |
| 1 |
| 23 |
| 22 |
| 23×22 |