Mysql - Table structure to hold history log without any primary key

I have mysql table that holds log data for some products, this data are deleted and inserted by a service every 5 minutes. This is the table: | id | product_id | dev_stage_id | production_order | log | log_type | date Right now id is the auto-increment primary key but is in fact useless as we never use it. Every other column is not unique, so we cannot have a different composite primary key. As I said before a service delete all rows by product_id and dev_stage_id every 5 minutes and then new data is created. This means id gets very big very quickly. The data are later used for display using a simple query like: SELECT * FROM table where product_id = 1231 and dev_stage_id = 233 Is it ok in our case to just remove the id column and have no primary key or should we have a different structure ?