mysql> select min(accesslog_id) from accesslog where accessdate >= "2004-06-01 00:00:00";
+-------------------+
| min(accesslog_id) |
+-------------------+
|          12700047 |
+-------------------+
1 row in set (14.72 sec)

mysql> select min(accesslog_id) from accesslog where accessdate >= "2004-06-07 00:00:00";
+-------------------+
| min(accesslog_id) |
+-------------------+
|          13419582 |
+-------------------+
1 row in set (1.41 sec)